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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 represent parts of a whole and numbers between integers. These concepts are widely used in mathematics, daily life calculations, measurements, and financial transactions.
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 essential in real-life situations such as banking, cooking, engineering, and data handling. Strong understanding improves accuracy and mathematical thinking.
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:
$$\frac{4}{9}$$
?
A) $$\frac{8}{18}$$
B) $$\frac{12}{27}$$
C) $$\frac{16}{36}$$
D) All of these
Answer:
All of these
Useful Formula for this Question:
Equivalent fractions are formed by multiplying numerator and denominator by the same non-zero integer.
Concept Behind This Question:
Students should identify equivalent fractions.
Step-by-Step Solution:
$$\frac{8}{18}=\frac{4}{9}$$
$$\frac{12}{27}=\frac{4}{9}$$
$$\frac{16}{36}=\frac{4}{9}$$
All fractions are equal.
Hence, the correct answer is:
All of these
Exam Tip:
Equivalent fractions represent the same value in different forms.
Q2. Simplify:
$$\frac{21}{28}-\frac{7}{28}$$
A) $$\frac{14}{28}$$
B) $$\frac{1}{2}$$
C) Both A and B
D) $$\frac{28}{21}$$
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 subtract like fractions and simplify correctly.
Step-by-Step Solution:
$$\frac{21}{28}-\frac{7}{28}$$
$$=\frac{14}{28}$$
Simplify:
$$=\frac{1}{2}$$
Hence both answers are equivalent.
Exam Tip:
Always reduce fractions to lowest terms.
Q3. Convert into decimal:
$$\frac{75}{100}$$
A) $$7.5$$
B) $$0.75$$
C) $$75.0$$
D) $$0.075$$
Answer:
$$0.75$$
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:
$$\frac{75}{100}=0.75$$
Move decimal two places left.
Hence, correct answer is:
$$0.75$$
Exam Tip:
Denominator 100 means two decimal places.
Q4. Find:
$$\frac{3}{10}\times\frac{5}{12}$$
A) $$\frac{15}{120}$$
B) $$\frac{1}{8}$$
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 and simplify fractions.
Step-by-Step Solution:
$$\frac{3}{10}\times\frac{5}{12}$$
$$=\frac{15}{120}$$
Simplify:
$$=\frac{1}{8}$$
Hence both are equivalent.
Exam Tip:
Always cancel common factors before multiplying.
Q5. Add:
$$0.38+0.41$$
A) $$0.79$$
B) $$0.69$$
C) $$0.89$$
D) $$0.59$$
Answer:
$$0.79$$
Useful Formula for this Question:
Align decimal points before addition.
Concept Behind This Question:
Students should add decimal numbers correctly.
Step-by-Step Solution:
$$0.38+0.41$$
$$=0.79$$
Exam Tip:
Keep decimal points perfectly aligned.
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
$$\frac{75}{100}=0.75$$
$$\frac{6}{10}=0.6$$
FAQs
1. What are equivalent fractions?
Fractions that represent the same value.
Example:
$$\frac{4}{9}=\frac{8}{18}$$
2. What is a mixed fraction?
A combination of a whole number and a proper fraction.
Example:
$$2\frac{1}{3}$$
3. How do we multiply fractions?
Multiply numerators and denominators directly.
4. How do we convert fractions into decimals?
Divide numerator by denominator.
5. What is:
$$\frac{75}{100}$$
in decimal form?
$$0.75$$
Common Mistakes
❌ Adding denominators while adding fractions.
❌ Forgetting simplification.
❌ Misplacing decimal points.
❌ Incorrect multiplication.
❌ Skipping cancellation steps.
Quick Revision Notes
✔ Equivalent fractions are equal in value.
✔ Always simplify final answers.
✔ Align decimal points carefully.
✔ Use cancellation before multiplication.
✔ Avoid adding denominators.
Conclusion
Fractions and Decimals is a key chapter in Class 7 Mathematics. Understanding these concepts helps students solve problems efficiently in exams and real-life situations. Regular practice improves speed, accuracy, and confidence.
Related links
- Class 7 Maths Chapter 2 Fractions and Decimals
- Class 7 Maths Chapter 2 Fractions and Decimals
- Class 7 Maths Chapter 2 Fractions and Decimals addition
- Class 7 Maths Chapter 2 Fractions and Decimals
- 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
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