Welcome To My School Study
Practice Class 7 Maths Chapter 2 Fractions and Decimals MCQ Questions with Answers based on NCERT syllabus. Learn fractions, decimals, addition, subtraction, multiplication, division, equivalent fractions, and conversions with detailed solutions for CBSE exams.
Do You Know
Chapter Information
Subject: Mathematics
Class: 7
Chapter: Fractions and Decimals
Question Type: Multiple Choice Questions (MCQs)
Difficulty Level: Moderate to Difficult
Based On: NCERT Latest Syllabus
Introduction:
Fractions and Decimals are used to represent parts of a whole and quantities smaller than one. These concepts play an important role in mathematics and are frequently used in measurements, money calculations, and real-life problem-solving situations.
What You Will Learn?
✔ Proper Fractions
✔ Improper Fractions
✔ Mixed Fractions
✔ Equivalent Fractions
✔ Decimal Numbers
✔ Addition of Fractions
✔ Subtraction of Fractions
✔ Multiplication of Fractions
✔ Division of Fractions
✔ Conversion of Fractions into Decimals
Why This Topic Is Important?
Fractions and decimals are used in everyday activities such as shopping, cooking, banking, and measuring distances. Understanding these concepts helps students perform calculations accurately and confidently.
Exam Relevance
These questions are useful for:
✔ CBSE Exams
✔ State Board Exams
✔ School Tests
✔ Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ Scholarship Examinations
Q1. Which of the following fractions is equivalent to:
$$\frac{4}{7}$$
?
A) $$\frac{8}{14}$$
B) $$\frac{12}{21}$$
C) $$\frac{16}{28}$$
D) All of these
Answer:
All of these
Useful Formula for this Question:
Equivalent fractions are obtained by multiplying the numerator and denominator by the same non-zero integer.
Concept Behind This Question:
Students should identify equivalent fractions.
Step-by-Step Solution:
We know:
$$\frac{8}{14}=\frac{4}{7}$$
$$\frac{12}{21}=\frac{4}{7}$$
$$\frac{16}{28}=\frac{4}{7}$$
All the fractions represent the same value.
Hence, the correct answer is:
All of these
Exam Tip:
Multiply or divide numerator and denominator by the same number to get equivalent fractions.
Q2. Simplify:
$$\frac{13}{20}+\frac{5}{20}$$
A) $$\frac{18}{20}$$
B) $$\frac{9}{10}$$
C) Both A and B
D) $$\frac{8}{20}$$
Answer:
Both A and B
Useful Formula for this Question:
$$\frac{a}{b}+\frac{c}{b}=\frac{a+c}{b}$$
Concept Behind This Question:
Students should add like fractions and simplify.
Step-by-Step Solution:
Given:
$$\frac{13}{20}+\frac{5}{20}$$
Add numerators:
$$=\frac{18}{20}$$
Simplifying:
$$=\frac{9}{10}$$
Therefore both answers are equivalent.
Hence, the correct answer is:
Both A and B
Exam Tip:
Always simplify the final fraction to its lowest form.
Q3. Convert into decimal:
$$\frac{8}{10}$$
A) $$8.0$$
B) $$0.08$$
C) $$0.8$$
D) $$80$$
Answer:
$$0.8$$
Useful Formula for this Question:
$$\frac{a}{10}=0.a$$
Concept Behind This Question:
Students should convert fractions into decimals.
Step-by-Step Solution:
Given:
$$\frac{8}{10}$$
Dividing by
$$10$$
moves the decimal point one place left.
$$\frac{8}{10}=0.8$$
Hence, the correct answer is:
$$0.8$$
Exam Tip:
Fractions with denominator
$$10$$
have one decimal place.
Q4. Find:
$$\frac{3}{5}\times\frac{10}{9}$$
A) $$\frac{30}{45}$$
B) $$\frac{2}{3}$$
C) Both A and B
D) $$\frac{3}{2}$$
Answer:
Both A and B
Useful Formula for this Question:
$$\frac{a}{b}\times\frac{c}{d}=\frac{ac}{bd}$$
Concept Behind This Question:
Students should multiply fractions correctly.
Step-by-Step Solution:
$$\frac{3}{5}\times\frac{10}{9}$$
$$=\frac{30}{45}$$
Simplifying:
$$=\frac{2}{3}$$
Both answers represent the same value.
Hence, the correct answer is:
Both A and B
Exam Tip:
Simplify the fraction after multiplication.
Q5. Add:
$$0.56+0.29$$
A) $$0.85$$
B) $$0.75$$
C) $$0.95$$
D) $$0.65$$
Answer:
$$0.85$$
Useful Formula for this Question:
Align decimal points before addition.
Concept Behind This Question:
Students should add decimal numbers accurately.
Step-by-Step Solution:
Given:
$$0.56+0.29$$
Adding:
$$0.56+0.29=0.85$$
Hence, the correct answer is:
$$0.85$$
Exam Tip:
Keep decimal points in the same vertical line while adding.
Important Formulas & Concepts
1. Proper Fraction
$$\frac{a}{b},\quad a<b$$
2. Improper Fraction
$$\frac{a}{b},\quad a\ge b$$
3. Equivalent Fractions
$$\frac{a}{b}=\frac{ka}{kb}$$
4. Addition of Like Fractions
$$\frac{a}{b}+\frac{c}{b}=\frac{a+c}{b}$$
5. Subtraction of Like Fractions
$$\frac{a}{b}-\frac{c}{b}=\frac{a-c}{b}$$
6. Multiplication of Fractions
$$\frac{a}{b}\times\frac{c}{d}=\frac{ac}{bd}$$
7. Division of Fractions
$$\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}$$
8. Decimal Conversion
$$\frac{8}{10}=0.8$$
$$\frac{36}{100}=0.36$$
FAQs
1. What are equivalent fractions?
Fractions that have the same value.
Example:
$$\frac{4}{7}=\frac{8}{14}$$
2. What is a proper fraction?
A fraction whose numerator is less than the denominator.
Example:
$$\frac{3}{8}$$
3. How do we add like fractions?
Add the numerators and keep the denominator unchanged.
4. How do we convert fractions into decimals?
Divide the numerator by the denominator.
5. What is:
$$\frac{36}{100}$$
in decimal form?
$$0.36$$
Common Mistakes
❌ Adding denominators while adding fractions.
❌ Forgetting to simplify answers.
❌ Misplacing decimal points.
❌ Multiplying fractions incorrectly.
❌ Ignoring equivalent fractions.
Quick Revision Notes
✔ Equivalent fractions have the same value.
✔ Add like fractions by adding numerators.
✔ Simplify fractions whenever possible.
✔ Convert fractions into decimals by division.
✔ Align decimal points carefully.
Conclusion
Fractions and Decimals is an important chapter in Class 7 Mathematics. Understanding fractions, decimals, and their operations helps students solve mathematical problems accurately and efficiently. Regular MCQ practice improves speed, accuracy, and conceptual understanding for examinations.
Related links
- Class 7 Maths Chapter 2 Fractions and Decimals MCQs
- Class7 Maths Chapter2 Fractions, Decimals, multiplication MCQ – Part 4
- Class 7 Maths Chapter2 Fractions and Decimals all topic MCQ -Part 3
- Class 7 Maths Chapter 2 Fractions and Decimals MCQ – Part 2
- Class 7 Maths Chapter 2 Fractions and Decimals MCQ – Part 1
- Class 7 Maths Chapter 1 Integers addition – part 4
- Class 7 Maths Chapter 1 Integers, number line, subtraction
- Class 7 Maths Chapter 1 Integers additive inverse – part 3
- Class 7 Maths Chapter 1 Integers, additive inverse – part 2
- Class 7 Maths Chapter 1 Integers additive inverse- part 1
Latest Posts
- Who was Isaac Newton? – Life, Discoveries, Laws of Motion & Gravity
- Class 9 Maths Chapter 3 Coordinate Geometry
- Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables
- Class 7 Maths Chapter 2 Fractions and Decimals
- Class 8 Maths Chapter 3 Understanding Quadrilaterals
Join Our Other Communities
Instagram , Youtube , Facebook
