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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 students represent quantities accurately. These concepts are widely used in measurements, financial calculations, data interpretation, and many real-life 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 shopping, banking, engineering, science, and everyday calculations. Understanding these concepts helps students improve their problem-solving skills and mathematical accuracy.
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:
$$\frac{7}{9}$$
?
A) $$\frac{14}{18}$$
B) $$\frac{21}{27}$$
C) $$\frac{28}{36}$$
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:
$$\frac{14}{18}=\frac{7}{9}$$
$$\frac{21}{27}=\frac{7}{9}$$
$$\frac{28}{36}=\frac{7}{9}$$
All fractions are equivalent.
Hence, the correct answer is:
All of these
Exam Tip:
Equivalent fractions have the same value but different appearances.
Q2. Simplify:
$$\frac{11}{16}+\frac{1}{16}$$
A) $$\frac{12}{16}$$
B) $$\frac{3}{4}$$
C) Both A and B
D) $$\frac{11}{17}$$
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.
Step-by-Step Solution:
Given:
$$\frac{11}{16}+\frac{1}{16}$$
Add numerators:
$$=\frac{12}{16}$$
Simplify:
$$=\frac{3}{4}$$
Both answers are equivalent.
Hence, the correct answer is:
Both A and B
Exam Tip:
Reduce fractions to the lowest form whenever possible.
Q3. Convert into decimal:
$$\frac{84}{100}$$
A) $$8.4$$
B) $$0.84$$
C) $$84.0$$
D) $$0.084$$
Answer:
$$0.84$$
Useful Formula for this Question:
$$\frac{a}{100}=0.ab$$
Concept Behind This Question:
Students should convert fractions into decimal form.
Step-by-Step Solution:
Given:
$$\frac{84}{100}$$
Move the decimal point two places left.
$$\frac{84}{100}=0.84$$
Hence, the correct answer is:
$$0.84$$
Exam Tip:
Fractions with denominator
$$100$$
always have two decimal places.
Q4. Find:
$$\frac{5}{12}\times\frac{6}{25}$$
A) $$\frac{30}{300}$$
B) $$\frac{1}{10}$$
C) Both A and B
D) $$\frac{5}{2}$$
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 and simplify correctly.
Step-by-Step Solution:
$$\frac{5}{12}\times\frac{6}{25}$$
$$=\frac{30}{300}$$
Simplify:
$$=\frac{1}{10}$$
Both fractions represent the same value.
Hence, the correct answer is:
Both A and B
Exam Tip:
Use cancellation before multiplication whenever possible.
Q5. Add:
$$0.67+0.18$$
A) $$0.85$$
B) $$0.75$$
C) $$0.95$$
D) $$0.55$$
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:
$$0.67+0.18$$
Adding:
$$0.67+0.18=0.85$$
Hence, the correct answer is:
$$0.85$$
Exam Tip:
Always keep decimal points in one vertical line.
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
$$\frac{84}{100}=0.84$$
$$\frac{7}{10}=0.7$$
FAQs
1. What are equivalent fractions?
Fractions that represent the same value.
Example:
$$\frac{7}{9}=\frac{14}{18}$$
2. What is a proper fraction?
A fraction whose numerator is less than its denominator.
Example:
$$\frac{4}{11}$$
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:
$$\frac{84}{100}$$
in decimal form?
$$0.84$$
Common Mistakes
❌ Adding denominators while adding fractions.
❌ Forgetting to simplify fractions.
❌ Misplacing decimal points.
❌ Multiplying numerators and denominators 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 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,division
- 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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