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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, 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 in daily life for measurements, money transactions, and calculations. Understanding fractions and decimals helps students perform arithmetic operations accurately and prepares them for advanced mathematics.
What You Will Learn?
✔ Proper Fractions
✔ Improper Fractions
✔ Mixed 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, measurements, and science. Mastering these concepts improves calculation skills and builds a strong mathematical foundation.
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 a proper fraction?
A) $$\frac{9}{4}$$
B) $$\frac{7}{7}$$
C) $$\frac{3}{8}$$
D) $$\frac{11}{5}$$
Answer:
$$\frac{3}{8}$$
Useful Formula for this Question:
A proper fraction has numerator less than denominator.
Concept Behind This Question:
Students should identify different types of fractions.
Step-by-Step Solution:
In a proper fraction:
$$\text{Numerator}<\text{Denominator}$$
Only
$$\frac{3}{8}$$
satisfies this condition.
Therefore, the correct answer is:
$$\frac{3}{8}$$
Exam Tip:
If numerator is smaller than denominator, the fraction is proper.
Q2. Simplify:
$$\frac{3}{5}+\frac{1}{5}$$
A) $$\frac{4}{10}$$
B) $$\frac{4}{5}$$
C) $$\frac{3}{10}$$
D) $$\frac{1}{5}$$
Answer:
$$\frac{4}{5}$$
Useful Formula for this Question:
$$\frac{a}{b}+\frac{c}{b}=\frac{a+c}{b}$$
Concept Behind This Question:
Students should add like fractions.
Step-by-Step Solution:
Given:
$$\frac{3}{5}+\frac{1}{5}$$
Add numerators:
$$=\frac{3+1}{5}$$
$$=\frac{4}{5}$$
Hence, the correct answer is:
$$\frac{4}{5}$$
Exam Tip:
For like fractions, add only the numerators.
Q3. Convert into decimal:
$$\frac{7}{10}$$
A) $$7.0$$
B) $$0.07$$
C) $$0.7$$
D) $$70$$
Answer:
$$0.7$$
Useful Formula for this Question:
$$\frac{a}{10}=0.a$$
Concept Behind This Question:
Students should convert fractions into decimals.
Step-by-Step Solution:
Given:
$$\frac{7}{10}$$
Dividing by
$$10$$
moves the decimal one place left.
$$\frac{7}{10}=0.7$$
Hence, the correct answer is:
$$0.7$$
Exam Tip:
Fractions with denominator 10 are easy to convert into decimals.
Q4. Find:
$$\frac{2}{3}\times\frac{9}{10}$$
A) $$\frac{3}{5}$$
B) $$\frac{18}{30}$$
C) $$\frac{6}{5}$$
D) Both A and B
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 correctly.
Step-by-Step Solution:
$$\frac{2}{3}\times\frac{9}{10}$$
$$=\frac{18}{30}$$
Simplifying:
$$=\frac{3}{5}$$
Therefore both values represent the same fraction.
Hence, the correct answer is:
Both A and B
Exam Tip:
Always simplify the final answer after multiplication.
Q5. Subtract:
$$0.9-0.4$$
A) $$0.5$$
B) $$0.4$$
C) $$0.3$$
D) $$1.3$$
Answer:
$$0.5$$
Useful Formula for this Question:
Align decimal points before subtraction.
Concept Behind This Question:
Students should subtract decimal numbers correctly.
Step-by-Step Solution:
Given:
$$0.9-0.4$$
Subtract:
$$0.9-0.4=0.5$$
Hence, the correct answer is:
$$0.5$$
Exam Tip:
Always place decimal points exactly 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. Addition of Like Fractions
$$\frac{a}{b}+\frac{c}{b}=\frac{a+c}{b}$$
4. Multiplication of Fractions
$$\frac{a}{b}\times\frac{c}{d}=\frac{ac}{bd}$$
5. Division of Fractions
$$\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}$$
6. Decimal Conversion
$$\frac{7}{10}=0.7$$
$$\frac{45}{100}=0.45$$
FAQs
1. What is a proper fraction?
A fraction whose numerator is less than its denominator.
Example:
$$\frac{3}{7}$$
2. What is an improper fraction?
A fraction whose numerator is greater than or equal to its denominator.
Example:
$$\frac{9}{4}$$
3. How do we multiply fractions?
Multiply numerators and denominators separately.
4. How do we divide fractions?
Multiply by the reciprocal of the second fraction.
5. What is:
$$\frac{5}{10}$$
in decimal form?
$$0.5$$
Common Mistakes
❌ Adding denominators while adding fractions.
❌ Forgetting to simplify fractions.
❌ Misplacing decimal points.
❌ Not converting mixed fractions correctly.
❌ Forgetting reciprocal during division.
Quick Revision Notes
✔ Proper fraction:
$$\text{Numerator}<\text{Denominator}$$
✔ Improper fraction:
$$\text{Numerator}\ge\text{Denominator}$$
✔ Multiply fractions directly.
✔ Divide fractions using reciprocal.
✔ 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 perform well in examinations. Regular MCQ practice improves speed, accuracy, and conceptual understanding.
Related links
- Class 7 Maths Chapter 1 Integers addition – part 4
- Class 7 Maths Chapter 1 Integers number line
- Class 7 Maths Chapter 1 Integers
- 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
- Class 7 Maths Chapter 1 Integers, operations on integers
- Class7 Maths Chapter 1 Integers-subtraction-multiplication
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