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Practice Class 7 Maths Chapter 2 Fractions and Decimals MCQ Questions with Answers based on NCERT syllabus. Learn fractions, decimals, addition, subtraction, multiplication, division, and conversions with detailed solutions for CBSE exams.
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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 important concepts that help students represent parts of a whole and perform accurate calculations. These concepts are widely used in daily life, measurements, shopping, and scientific calculations.
What You Will Learn?
✔ Proper Fractions
✔ Improper Fractions
✔ Mixed 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 measurements, money calculations, percentages, and many real-life applications. A strong understanding of these concepts improves mathematical skills and problem-solving ability.
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 equal to:
$$\frac{1}{2}$$
?
A) $$\frac{2}{4}$$
B) $$\frac{3}{6}$$
C) $$\frac{4}{8}$$
D) All of these
Answer:
All of these
Useful Formula for this Question:
Equivalent fractions are obtained by multiplying or dividing numerator and denominator by the same non-zero number.
Concept Behind This Question:
Students should identify equivalent fractions.
Step-by-Step Solution:
We know:
$$\frac{2}{4}=\frac{1}{2}$$
$$\frac{3}{6}=\frac{1}{2}$$
$$\frac{4}{8}=\frac{1}{2}$$
All fractions are equivalent.
Hence, the correct answer is:
All of these
Exam Tip:
Equivalent fractions represent the same value.
Q2. Simplify:
$$\frac{5}{9}+\frac{2}{9}$$
A) $$\frac{7}{9}$$
B) $$\frac{7}{18}$$
C) $$\frac{3}{9}$$
D) $$\frac{5}{18}$$
Answer:
$$\frac{7}{9}$$
Useful Formula for this Question:
$$\frac{a}{b}+\frac{c}{b}=\frac{a+c}{b}$$
Concept Behind This Question:
Students should add like fractions.
Step-by-Step Solution:
Given:
$$\frac{5}{9}+\frac{2}{9}$$
Add numerators:
$$=\frac{5+2}{9}$$
$$=\frac{7}{9}$$
Hence, the correct answer is:
$$\frac{7}{9}$$
Exam Tip:
For like fractions, only numerators are added.
Q3. Convert into decimal:
$$\frac{9}{10}$$
A) $$9.0$$
B) $$0.09$$
C) $$0.9$$
D) $$90$$
Answer:
$$0.9$$
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:
$$\frac{9}{10}$$
Dividing by
$$10$$
moves the decimal one place left.
$$\frac{9}{10}=0.9$$
Hence, the correct answer is:
$$0.9$$
Exam Tip:
A denominator of
$$10$$
gives one decimal place.
Q4. Find:
$$\frac{3}{4}\times\frac{2}{5}$$
A) $$\frac{6}{20}$$
B) $$\frac{3}{10}$$
C) Both A and B
D) $$\frac{5}{8}$$
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:
$$\frac{3}{4}\times\frac{2}{5}$$
$$=\frac{6}{20}$$
Simplifying:
$$=\frac{3}{10}$$
Therefore both values are equivalent.
Hence, the correct answer is:
Both A and B
Exam Tip:
Always simplify the answer after multiplication.
Q5. Subtract:
$$0.85-0.32$$
A) $$0.53$$
B) $$0.43$$
C) $$0.63$$
D) $$1.17$$
Answer:
$$0.53$$
Useful Formula for this Question:
Align decimal points before subtraction.
Concept Behind This Question:
Students should subtract decimal numbers accurately.
Step-by-Step Solution:
Given:
$$0.85-0.32$$
Subtracting:
$$0.85-0.32=0.53$$
Hence, the correct answer is:
$$0.53$$
Exam Tip:
Place decimal points exactly below each other before subtraction.
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. Multiplication of Fractions
$$\frac{a}{b}\times\frac{c}{d}=\frac{ac}{bd}$$
6. Division of Fractions
$$\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}$$
7. Decimal Conversion
$$\frac{6}{10}=0.6$$
$$\frac{75}{100}=0.75$$
FAQs
1. What are equivalent fractions?
Fractions having the same value.
Example:
$$\frac{1}{2}=\frac{2}{4}$$
2. What is a proper fraction?
A fraction whose numerator is smaller than its denominator.
Example:
$$\frac{3}{7}$$
3. How do we multiply fractions?
Multiply numerators together and denominators together.
4. How do we convert fractions into decimals?
Divide the numerator by the denominator.
5. What is:
$$\frac{90}{100}$$
in decimal form?
$$0.90$$
or
$$0.9$$
Common Mistakes
❌ Adding denominators while adding fractions.
❌ Forgetting to simplify fractions.
❌ Misplacing decimal points.
❌ Incorrect multiplication of numerators and denominators.
❌ Forgetting reciprocal during division.
Quick Revision Notes
✔ Equivalent fractions have the same value.
✔ Add like fractions by adding numerators.
✔ Multiply fractions directly.
✔ Convert fractions to decimals by division.
✔ Always align decimal points correctly.
Conclusion
Fractions and Decimals is an essential chapter in Class 7 Mathematics. Understanding fractions, decimals, and their operations helps students solve mathematical problems efficiently and perform well in examinations. Regular MCQ practice improves speed, accuracy, and conceptual understanding.
Related links
- 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
- Class 7 Maths Chapter 1 Integers
- 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
- Class 7 Maths Chapter 1 Integers, operations on integers
- Class7 Maths Chapter 1 Integers-subtraction-multiplication
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