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Practice Class 7 Maths Chapter 2 Fractions and Decimals MCQ Questions with Answers based on NCERT syllabus. Learn fractions, decimals, equivalent fractions, 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 essential mathematical concepts used to represent parts of a whole and quantities smaller than one. These concepts are widely applied in measurements, money calculations, data handling, and everyday problem-solving.
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 such as shopping, banking, cooking, measurements, and scientific calculations. Understanding these concepts helps students improve accuracy and logical 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 equal to:
$$\frac{2}{3}$$
?
A) $$\frac{4}{6}$$
B) $$\frac{6}{9}$$
C) $$\frac{8}{12}$$
D) All of these
Answer:
All of these
Useful Formula for this Question:
Equivalent fractions are obtained by multiplying or dividing the numerator and denominator by the same non-zero number.
Concept Behind This Question:
Students should identify equivalent fractions.
Step-by-Step Solution:
We know:
$$\frac{4}{6}=\frac{2}{3}$$
$$\frac{6}{9}=\frac{2}{3}$$
$$\frac{8}{12}=\frac{2}{3}$$
All the fractions represent the same value.
Hence, the correct answer is:
All of these
Exam Tip:
Equivalent fractions represent the same part of a whole.
Q2. Simplify:
$$\frac{11}{15}-\frac{4}{15}$$
A) $$\frac{7}{15}$$
B) $$\frac{15}{15}$$
C) $$\frac{5}{15}$$
D) $$\frac{11}{19}$$
Answer:
$$\frac{7}{15}$$
Useful Formula for this Question:
$$\frac{a}{b}-\frac{c}{b}=\frac{a-c}{b}$$
Concept Behind This Question:
Students should subtract like fractions correctly.
Step-by-Step Solution:
Given:
$$\frac{11}{15}-\frac{4}{15}$$
Subtract numerators:
$$=\frac{11-4}{15}$$
$$=\frac{7}{15}$$
Hence, the correct answer is:
$$\frac{7}{15}$$
Exam Tip:
For like fractions, subtract only the numerators.
Q3. Convert into decimal:
$$\frac{63}{100}$$
A) $$6.3$$
B) $$0.63$$
C) $$63.0$$
D) $$0.063$$
Answer:
$$0.63$$
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:
$$\frac{63}{100}$$
Move the decimal point two places left:
$$\frac{63}{100}=0.63$$
Hence, the correct answer is:
$$0.63$$
Exam Tip:
Denominator
$$100$$
means two decimal places.
Q4. Find:
$$\frac{7}{8}\times\frac{4}{7}$$
A) $$\frac{28}{56}$$
B) $$\frac{1}{2}$$
C) Both A and B
D) $$\frac{7}{4}$$
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.
Step-by-Step Solution:
$$\frac{7}{8}\times\frac{4}{7}$$
$$=\frac{28}{56}$$
Simplifying:
$$=\frac{1}{2}$$
Both values are equivalent.
Hence, the correct answer is:
Both A and B
Exam Tip:
Simplify fractions after multiplication.
Q5. Subtract:
$$0.92-0.47$$
A) $$0.45$$
B) $$0.55$$
C) $$0.35$$
D) $$1.39$$
Answer:
$$0.45$$
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:
$$0.92-0.47$$
Subtract:
$$0.92-0.47=0.45$$
Hence, the correct answer is:
$$0.45$$
Exam Tip:
Always write decimal points in the same 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
$$\frac{9}{10}=0.9$$
$$\frac{63}{100}=0.63$$
FAQs
1. What are equivalent fractions?
Fractions having the same value.
Example:
$$\frac{2}{3}=\frac{4}{6}$$
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 subtract like fractions?
Subtract the numerators and keep the denominator the same.
4. How do we convert fractions into decimals?
Divide the numerator by the denominator.
5. What is:
$$\frac{7}{10}$$
in decimal form?
$$0.7$$
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.
✔ Add or subtract like fractions directly.
✔ Multiply numerators and denominators separately.
✔ 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 efficiently and accurately. Regular MCQ practice improves speed, accuracy, and conceptual understanding for examinations.
Related links
- 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 addition – part 4
- 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
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