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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 help students understand parts of a whole and quantities less than one. These concepts are widely used in mathematics, measurements, money transactions, and various 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 everyday calculations involving money, measurements, percentages, and data interpretation. Understanding these concepts improves logical thinking 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:
$$\frac{5}{6}$$
?
A) $$\frac{10}{12}$$
B) $$\frac{15}{18}$$
C) $$\frac{20}{24}$$
D) All of these
Answer:
All of these
Useful Formula for this Question:
Equivalent fractions are obtained by multiplying numerator and denominator by the same non-zero number.
Concept Behind This Question:
Students should identify equivalent fractions.
Step-by-Step Solution:
We know:
$$\frac{10}{12}=\frac{5}{6}$$
$$\frac{15}{18}=\frac{5}{6}$$
$$\frac{20}{24}=\frac{5}{6}$$
All fractions are equivalent.
Hence, the correct answer is:
All of these
Exam Tip:
Equivalent fractions have the same value even if their numerators and denominators are different.
Q2. Simplify:
$$\frac{17}{20}-\frac{5}{20}$$
A) $$\frac{12}{20}$$
B) $$\frac{3}{5}$$
C) Both A and B
D) $$\frac{22}{20}$$
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:
Given:
$$\frac{17}{20}-\frac{5}{20}$$
Subtract numerators:
$$=\frac{12}{20}$$
Simplify:
$$=\frac{3}{5}$$
Both fractions represent the same value.
Hence, the correct answer is:
Both A and B
Exam Tip:
Always simplify the answer to its lowest form.
Q3. Convert into decimal:
$$\frac{91}{100}$$
A) $$9.1$$
B) $$0.91$$
C) $$91.0$$
D) $$0.091$$
Answer:
$$0.91$$
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:
$$\frac{91}{100}$$
Move the decimal point two places left.
$$\frac{91}{100}=0.91$$
Hence, the correct answer is:
$$0.91$$
Exam Tip:
Fractions with denominator
$$100$$
always have two decimal places.
Q4. Find:
$$\frac{8}{21}\times\frac{7}{12}$$
A) $$\frac{56}{252}$$
B) $$\frac{2}{9}$$
C) Both A and B
D) $$\frac{8}{7}$$
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 properly.
Step-by-Step Solution:
$$\frac{8}{21}\times\frac{7}{12}$$
$$=\frac{56}{252}$$
Simplify:
$$=\frac{2}{9}$$
Therefore both fractions are equivalent.
Hence, the correct answer is:
Both A and B
Exam Tip:
Use cross-cancellation before multiplication to simplify calculations.
Q5. Add:
$$0.57+0.26$$
A) $$0.83$$
B) $$0.73$$
C) $$0.93$$
D) $$0.63$$
Answer:
$$0.83$$
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:
$$0.57+0.26$$
Adding:
$$0.57+0.26=0.83$$
Hence, the correct answer is:
$$0.83$$
Exam Tip:
Always place decimal points directly below each other.
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
$$\frac{91}{100}=0.91$$
$$\frac{3}{10}=0.3$$
FAQs
1. What are equivalent fractions?
Fractions that represent the same value.
Example:
$$\frac{5}{6}=\frac{10}{12}$$
2. What is a proper fraction?
A fraction whose numerator is less than its denominator.
Example:
$$\frac{5}{9}$$
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:
$$\frac{91}{100}$$
in decimal form?
$$0.91$$
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 carefully.
✔ 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 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
- 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
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