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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 used to represent parts of a whole and quantities less than one. These concepts help students solve practical problems involving measurements, money, and calculations.
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 frequently used in daily life activities such as shopping, banking, cooking, and scientific calculations. Understanding these concepts develops strong arithmetic and problem-solving 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:
$$\frac{2}{5}$$
?
A) $$\frac{4}{10}$$
B) $$\frac{6}{15}$$
C) $$\frac{8}{20}$$
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:
$$\frac{4}{10}=\frac{2}{5}$$
$$\frac{6}{15}=\frac{2}{5}$$
$$\frac{8}{20}=\frac{2}{5}$$
All the fractions are equivalent.
Hence, the correct answer is:
All of these
Exam Tip:
Equivalent fractions have the same value but different forms.
Q2. Simplify:
$$\frac{14}{21}-\frac{7}{21}$$
A) $$\frac{7}{21}$$
B) $$\frac{1}{3}$$
C) Both A and B
D) $$\frac{21}{21}$$
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.
Step-by-Step Solution:
$$\frac{14}{21}-\frac{7}{21}$$
$$=\frac{7}{21}$$
Simplify:
$$=\frac{1}{3}$$
Therefore both answers are equivalent.
Hence, the correct answer is:
Both A and B
Exam Tip:
Always simplify the answer to the lowest form.
Q3. Convert into decimal:
$$\frac{64}{100}$$
A) $$6.4$$
B) $$0.64$$
C) $$64.0$$
D) $$0.064$$
Answer:
$$0.64$$
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:
$$\frac{64}{100}$$
Move the decimal point two places left.
$$\frac{64}{100}=0.64$$
Hence, the correct answer is:
$$0.64$$
Exam Tip:
Fractions with denominator
$$100$$
have two decimal places.
Q4. Find:
$$\frac{4}{15}\times\frac{5}{8}$$
A) $$\frac{20}{120}$$
B) $$\frac{1}{6}$$
C) Both A and B
D) $$\frac{8}{3}$$
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:
$$\frac{4}{15}\times\frac{5}{8}$$
$$=\frac{20}{120}$$
Simplify:
$$=\frac{1}{6}$$
Both fractions represent the same value.
Hence, the correct answer is:
Both A and B
Exam Tip:
Use cross-cancellation before multiplication to save time.
Q5. Add:
$$0.43+0.37$$
A) $$0.80$$
B) $$0.70$$
C) $$0.90$$
D) $$0.60$$
Answer:
$$0.80$$
Useful Formula for this Question:
Align decimal points before addition.
Concept Behind This Question:
Students should add decimal numbers correctly.
Step-by-Step Solution:
$$0.43+0.37$$
$$=0.80$$
Hence, the correct answer is:
$$0.80$$
Exam Tip:
Write decimal points in a straight vertical line before 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
$$\frac{64}{100}=0.64$$
$$\frac{5}{10}=0.5$$
FAQs
1. What are equivalent fractions?
Fractions that represent the same value.
Example:
$$\frac{2}{5}=\frac{4}{10}$$
2. What is a proper fraction?
A fraction whose numerator is smaller than the 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:
$$\frac{64}{100}$$
in decimal form?
$$0.64$$
Common Mistakes
❌ Adding or subtracting denominators.
❌ Forgetting to simplify fractions.
❌ Misplacing decimal points.
❌ Multiplying fractions incorrectly.
❌ Ignoring equivalent fractions.
Quick Revision Notes
✔ Equivalent fractions represent the same value.
✔ Simplify fractions whenever possible.
✔ Convert fractions into decimals by division.
✔ Align decimal points correctly.
✔ Use cancellation before multiplication.
Conclusion
Fractions and Decimals is an important chapter in Class 7 Mathematics. Understanding fractions, decimals, equivalent fractions, and their operations helps students solve mathematical problems efficiently and accurately. 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 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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