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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, equivalent fractions, 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 mathematical concepts that help represent parts of a whole and quantities smaller than one. These concepts are widely used in measurements, money calculations, science, and daily life activities.
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 real-life calculations involving money, measurements, percentages, and data interpretation. Understanding these concepts strengthens mathematical reasoning and calculation skills.
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:
$$\frac{5}{8}$$
?
A) $$\frac{10}{16}$$
B) $$\frac{15}{24}$$
C) $$\frac{20}{32}$$
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:
$$\frac{10}{16}=\frac{5}{8}$$
$$\frac{15}{24}=\frac{5}{8}$$
$$\frac{20}{32}=\frac{5}{8}$$
Therefore, all the fractions are equivalent.
Hence, the correct answer is:
All of these
Exam Tip:
Equivalent fractions have different forms but the same value.
Q2. Simplify:
$$\frac{9}{14}+\frac{3}{14}$$
A) $$\frac{12}{14}$$
B) $$\frac{6}{7}$$
C) Both A and B
D) $$\frac{9}{17}$$
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 the answer.
Step-by-Step Solution:
Given:
$$\frac{9}{14}+\frac{3}{14}$$
Add numerators:
$$=\frac{12}{14}$$
Simplify:
$$=\frac{6}{7}$$
Therefore both answers are equivalent.
Hence, the correct answer is:
Both A and B
Exam Tip:
Always reduce the fraction to its lowest form.
Q3. Convert into decimal:
$$\frac{72}{100}$$
A) $$7.2$$
B) $$0.72$$
C) $$72.0$$
D) $$0.072$$
Answer:
$$0.72$$
Useful Formula for this Question:
$$\frac{a}{100}=0.ab$$
Concept Behind This Question:
Students should convert fractions into decimals.
Step-by-Step Solution:
Given:
$$\frac{72}{100}$$
Move the decimal point two places left:
$$\frac{72}{100}=0.72$$
Hence, the correct answer is:
$$0.72$$
Exam Tip:
A denominator of
$$100$$
indicates two decimal places.
Q4. Find:
$$\frac{4}{9}\times\frac{3}{8}$$
A) $$\frac{12}{72}$$
B) $$\frac{1}{6}$$
C) Both A and B
D) $$\frac{3}{4}$$
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 and simplify correctly.
Step-by-Step Solution:
$$\frac{4}{9}\times\frac{3}{8}$$
$$=\frac{12}{72}$$
Simplify:
$$=\frac{1}{6}$$
Both values are equivalent.
Hence, the correct answer is:
Both A and B
Exam Tip:
Simplify the answer after multiplication whenever possible.
Q5. Subtract:
$$0.94-0.38$$
A) $$0.56$$
B) $$0.66$$
C) $$0.46$$
D) $$1.32$$
Answer:
$$0.56$$
Useful Formula for this Question:
Align decimal points before subtraction.
Concept Behind This Question:
Students should subtract decimal numbers correctly.
Step-by-Step Solution:
Given:
$$0.94-0.38$$
Subtracting:
$$0.94-0.38=0.56$$
Hence, the correct answer is:
$$0.56$$
Exam Tip:
Keep decimal points in the same vertical line 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. 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
$$\frac{72}{100}=0.72$$
$$\frac{9}{10}=0.9$$
FAQs
1. What are equivalent fractions?
Fractions that represent the same value.
Example:
$$\frac{5}{8}=\frac{10}{16}$$
2. What is a proper fraction?
A fraction whose numerator is smaller than its denominator.
Example:
$$\frac{3}{5}$$
3. How do we multiply fractions?
Multiply the numerators together and the denominators together.
4. How do we convert fractions into decimals?
Divide the numerator by the denominator.
5. What is:
$$\frac{72}{100}$$
in decimal form?
$$0.72$$
Common Mistakes
❌ Adding denominators while adding fractions.
❌ Forgetting to simplify fractions.
❌ Misplacing decimal points.
❌ Multiplying fractions incorrectly.
❌ Ignoring equivalent fractions.
Quick Revision Notes
✔ Equivalent fractions represent the same value.
✔ Add like fractions by adding numerators.
✔ Simplify fractions whenever possible.
✔ Convert fractions into decimals by division.
✔ Align decimal points correctly.
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
- 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 additive inverse – part 3
- Class 7 Maths Chapter 1 Integers, additive inverse – part 2
- Class 7 Maths Chapter 1 Integers additive inverse- part 1
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