Steps to simplify expressions with decimals and fractions and Order...
Mathematics159 views·Updated Jun 19, 2026·4 pagesEasy Steps to Solve Expressions with Fractions and Decimals
1 / 4
1
of 4
Page 2: Detailed Solution Process
This page demonstrates the step-by-step solution process for evaluating expressions with two variables involving fractions.
Example: The complete solution for 4 + 6m - 2n is shown, resulting in a final answer of 12.
Highlight: Special attention is given to converting whole numbers to fractions before multiplication by placing the whole number over 1.
Definition: When multiplying fractions with whole numbers, multiply numerators together and denominators together after conversion.
The page concludes by introducing a second example: 12x - 13 + 10y, where x = 2/5 and y = 3/4.
2
of 4
Page 3: Advanced Problem Solving
This page continues with the solution process and introduces the concept of evaluating expressions with decimals.
Highlight: The solution process demonstrates how to handle multiple operations while maintaining mathematical accuracy.
Example: The complete solution shows how 12x - 13 + 10y simplifies to 0.
The page introduces two key steps for decimal operations:
- Variable replacement with numerical values
- Expression evaluation using PEMDAS
3
of 4
Page 4: Decimal Operations
This page focuses on working with decimal values in two-variable expressions.
Example: A detailed solution for 16q - 3s + 10 where q = 0.1 and s = 0.5 is provided, resulting in 10.1.
Highlight: The importance of performing operations in the correct order is emphasized, particularly when working with decimals.
Definition: When working with decimals, multiplication is performed first, followed by addition and subtraction from left to right.
The solution demonstrates how to systematically work through decimal calculations while maintaining precision and accuracy in the final answer.
4
of 4
Page 1: Introduction to Two-Variable Expressions
This page introduces the fundamental concepts for How to evaluate expressions with two variables using fractions. The content outlines a systematic four-step approach for solving these mathematical problems.
Definition: Order of Operations (PEMDAS) is a mathematical rule system that determines the sequence of operations when evaluating expressions.
Highlight: The four-step process includes: writing parentheses around variables, replacing variables with given values, performing multiplication/division, and completing addition/subtraction.
Example: The page introduces an expression 4 + 6m - 2n, where m = 2/3 and n = -2, demonstrating the initial setup of a two-variable problem.
Vocabulary: PEMDAS breakdown:
- P: Parentheses
- E: Exponents
- M: Multiplication
- D: Division
- A: Addition
- S: Subtraction
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Most popular content in Mathematics
9M
MathematicsMath Made Easy: Essential Concepts for Grade 7
Master key math concepts with this comprehensive flashcard set designed specifically for 7th graders. Boost your understanding and ace your exams!
7th7201
C
MathematicsChapter 2 Quiz. Algebra 1
Equations with variables on both side, literal equations, ratios, conversions, proportions
9th4672
M
GeometryMath Flashcards: Triangles, Angles, and Congruent Triangles
Master the fundamentals of geometry with these math flashcards covering triangle angles, parallel lines, and congruent triangles. Test your knowledge and ace your exams!
10th2520
G
GeometryGeometry Flashcards: Triangles, Proofs, Angles, and Lines
Master the fundamentals of geometry with these flashcards covering triangles, proofs, angles, and parallel lines. Test your knowledge and ace your exams!
9th3050
G
GeometryGeometry Essentials
Master the fundamentals of geometry with these flashcards covering angles, triangles, congruent triangles, parallel lines, and polygons.
10th3410
S
MathematicsSolving X on both sides of an equation
Solve for x when there is x on both sides of equation.
9th2721
B
MathematicsBasic multiplication and division
like 6th grade math
6th46010
P
MathematicsPEMDAS
PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) Order of operation to solve math problems.
6th3790
M
Mathematicsmath
learn some new math
6th4003
Most popular content
9O
AP US HistoryOrigins and Dynamics of the Columbian Exchange
Analyze the ecological and economic motivations behind the initial transfer of goods, people, and diseases between the Old and New Worlds.
9th3,1280
I
AP US HistoryIntroduction to Early Cultural Interactions
Analyze the initial social and religious encounters between Europeans, Africans, and Indigenous peoples in the colonial Americas.
9th2,7730
O
AP World HistoryOrigins of Ancient River Civilizations
Analyze the environmental factors and technological innovations that led to the rise of early states in Mesopotamia, Egypt, and the Indus Valley.
9th3,1870
M
AP US HistoryMotivations for European Exploration
Analyze the economic, religious, and political factors that drove European powers to the Americas during the 15th and 16th centuries.
9th1,7780
F
AP PsychologyFoundations of Ethical Guidelines in Research
Practice the core principles of the APA ethical code including informed consent, debriefing, and the role of Institutional Review Boards.
9th1,3360
I
AP US HistoryIntroduction to Native American Societies
Examine the diverse social, political, and economic structures of North American indigenous groups prior to European contact.
9th1,1100
I
AP BiologyIntroduction to Biological Elements of Life
Practice identifying the essential elements including carbon, nitrogen, phosphorus, and sulfur that compose biological macromolecules.
9th1,7390
I
AP US HistoryIntroduction to the Spanish Encomienda System
Explore the fundamental economic and social structures of the Spanish colonial system, focusing on the encomienda and the casta social hierarchy.
9th8890
O
AP World HistoryOrigins and Continuity of the Byzantine Empire
Analyze the political and cultural transitions from the Roman Empire to the Byzantine Empire, focusing on the reign of Justinian I and his code.
9th1,6320
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.6/5App Store
4.7/5Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan SiOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha KlichAndroid user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
AnnaiOS user
Mathematics159 views·Updated Jun 19, 2026·4 pagesEasy Steps to Solve Expressions with Fractions and Decimals
Steps to simplify expressions with decimals and fractions and Order of operations for evaluating two-variable expressionsare essential skills for solving mathematical problems. This comprehensive guide explains the systematic approach to evaluating expressions containing two variables with both fractions and...
1
of 4
Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Page 2: Detailed Solution Process
This page demonstrates the step-by-step solution process for evaluating expressions with two variables involving fractions.
Example: The complete solution for 4 + 6m - 2n is shown, resulting in a final answer of 12.
Highlight: Special attention is given to converting whole numbers to fractions before multiplication by placing the whole number over 1.
Definition: When multiplying fractions with whole numbers, multiply numerators together and denominators together after conversion.
The page concludes by introducing a second example: 12x - 13 + 10y, where x = 2/5 and y = 3/4.
2
of 4Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Page 3: Advanced Problem Solving
This page continues with the solution process and introduces the concept of evaluating expressions with decimals.
Highlight: The solution process demonstrates how to handle multiple operations while maintaining mathematical accuracy.
Example: The complete solution shows how 12x - 13 + 10y simplifies to 0.
The page introduces two key steps for decimal operations:
- Variable replacement with numerical values
- Expression evaluation using PEMDAS
3
of 4Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Page 4: Decimal Operations
This page focuses on working with decimal values in two-variable expressions.
Example: A detailed solution for 16q - 3s + 10 where q = 0.1 and s = 0.5 is provided, resulting in 10.1.
Highlight: The importance of performing operations in the correct order is emphasized, particularly when working with decimals.
Definition: When working with decimals, multiplication is performed first, followed by addition and subtraction from left to right.
The solution demonstrates how to systematically work through decimal calculations while maintaining precision and accuracy in the final answer.
4
of 4Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Page 1: Introduction to Two-Variable Expressions
This page introduces the fundamental concepts for How to evaluate expressions with two variables using fractions. The content outlines a systematic four-step approach for solving these mathematical problems.
Definition: Order of Operations (PEMDAS) is a mathematical rule system that determines the sequence of operations when evaluating expressions.
Highlight: The four-step process includes: writing parentheses around variables, replacing variables with given values, performing multiplication/division, and completing addition/subtraction.
Example: The page introduces an expression 4 + 6m - 2n, where m = 2/3 and n = -2, demonstrating the initial setup of a two-variable problem.
Vocabulary: PEMDAS breakdown:
- P: Parentheses
- E: Exponents
- M: Multiplication
- D: Division
- A: Addition
- S: Subtraction
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Most popular content in Mathematics
9M
MathematicsMath Made Easy: Essential Concepts for Grade 7
Master key math concepts with this comprehensive flashcard set designed specifically for 7th graders. Boost your understanding and ace your exams!
7th7201
C
MathematicsChapter 2 Quiz. Algebra 1
Equations with variables on both side, literal equations, ratios, conversions, proportions
9th4672
M
GeometryMath Flashcards: Triangles, Angles, and Congruent Triangles
Master the fundamentals of geometry with these math flashcards covering triangle angles, parallel lines, and congruent triangles. Test your knowledge and ace your exams!
10th2520
G
GeometryGeometry Flashcards: Triangles, Proofs, Angles, and Lines
Master the fundamentals of geometry with these flashcards covering triangles, proofs, angles, and parallel lines. Test your knowledge and ace your exams!
9th3050
G
GeometryGeometry Essentials
Master the fundamentals of geometry with these flashcards covering angles, triangles, congruent triangles, parallel lines, and polygons.
10th3410
S
MathematicsSolving X on both sides of an equation
Solve for x when there is x on both sides of equation.
9th2721
B
MathematicsBasic multiplication and division
like 6th grade math
6th46010
P
MathematicsPEMDAS
PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) Order of operation to solve math problems.
6th3790
M
Mathematicsmath
learn some new math
6th4003
Most popular content
9O
AP US HistoryOrigins and Dynamics of the Columbian Exchange
Analyze the ecological and economic motivations behind the initial transfer of goods, people, and diseases between the Old and New Worlds.
9th3,1280
I
AP US HistoryIntroduction to Early Cultural Interactions
Analyze the initial social and religious encounters between Europeans, Africans, and Indigenous peoples in the colonial Americas.
9th2,7730
O
AP World HistoryOrigins of Ancient River Civilizations
Analyze the environmental factors and technological innovations that led to the rise of early states in Mesopotamia, Egypt, and the Indus Valley.
9th3,1870
M
AP US HistoryMotivations for European Exploration
Analyze the economic, religious, and political factors that drove European powers to the Americas during the 15th and 16th centuries.
9th1,7780
F
AP PsychologyFoundations of Ethical Guidelines in Research
Practice the core principles of the APA ethical code including informed consent, debriefing, and the role of Institutional Review Boards.
9th1,3360
I
AP US HistoryIntroduction to Native American Societies
Examine the diverse social, political, and economic structures of North American indigenous groups prior to European contact.
9th1,1100
I
AP BiologyIntroduction to Biological Elements of Life
Practice identifying the essential elements including carbon, nitrogen, phosphorus, and sulfur that compose biological macromolecules.
9th1,7390
I
AP US HistoryIntroduction to the Spanish Encomienda System
Explore the fundamental economic and social structures of the Spanish colonial system, focusing on the encomienda and the casta social hierarchy.
9th8890
O
AP World HistoryOrigins and Continuity of the Byzantine Empire
Analyze the political and cultural transitions from the Roman Empire to the Byzantine Empire, focusing on the reign of Justinian I and his code.
9th1,6320
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.6/5App Store
4.7/5Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan SiOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha KlichAndroid user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
AnnaiOS user