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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 represent parts of a whole and perform calculations involving quantities that are not whole numbers. These concepts are widely used in daily life, measurements, money transactions, and scientific 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 used in shopping, banking, measurements, engineering, and many real-life applications. Understanding these concepts helps students improve calculation skills and mathematical confidence.
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:
$$\frac{3}{5}$$
?
A) $$\frac{6}{10}$$
B) $$\frac{9}{15}$$
C) $$\frac{12}{20}$$
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 number.
Concept Behind This Question:
Students should identify equivalent fractions.
Step-by-Step Solution:
We know:
$$\frac{6}{10}=\frac{3}{5}$$
$$\frac{9}{15}=\frac{3}{5}$$
$$\frac{12}{20}=\frac{3}{5}$$
Therefore, all the fractions are equivalent.
Hence, the correct answer is:
All of these
Exam Tip:
Equivalent fractions represent the same numerical value.
Q2. Simplify:
$$\frac{7}{12}+\frac{3}{12}$$
A) $$\frac{10}{24}$$
B) $$\frac{10}{12}$$
C) $$\frac{5}{6}$$
D) Both B and C
Answer:
Both B and C
Useful Formula for this Question:
$$\frac{a}{b}+\frac{c}{b}=\frac{a+c}{b}$$
Concept Behind This Question:
Students should add like fractions and simplify the result.
Step-by-Step Solution:
Given:
$$\frac{7}{12}+\frac{3}{12}$$
Add numerators:
$$=\frac{10}{12}$$
Simplifying:
$$=\frac{5}{6}$$
Therefore both answers represent the same value.
Hence, the correct answer is:
Both B and C
Exam Tip:
Always check whether the fraction can be simplified further.
Q3. Convert into decimal:
$$\frac{45}{100}$$
A) $$4.5$$
B) $$0.45$$
C) $$45.0$$
D) $$0.045$$
Answer:
$$0.45$$
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:
$$\frac{45}{100}$$
Dividing by
$$100$$
moves the decimal point two places left.
$$\frac{45}{100}=0.45$$
Hence, the correct answer is:
$$0.45$$
Exam Tip:
Fractions with denominator
$$100$$
have two decimal places.
Q4. Find:
$$\frac{5}{6}\times\frac{3}{10}$$
A) $$\frac{15}{60}$$
B) $$\frac{1}{4}$$
C) Both A and B
D) $$\frac{3}{5}$$
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 the answer.
Step-by-Step Solution:
$$\frac{5}{6}\times\frac{3}{10}$$
$$=\frac{15}{60}$$
Simplifying:
$$=\frac{1}{4}$$
Therefore both values are equivalent.
Hence, the correct answer is:
Both A and B
Exam Tip:
Reduce the final fraction to its lowest form.
Q5. Add:
$$0.38+0.27$$
A) $$0.65$$
B) $$0.55$$
C) $$0.75$$
D) $$0.45$$
Answer:
$$0.65$$
Useful Formula for this Question:
Align decimal points before addition.
Concept Behind This Question:
Students should add decimal numbers correctly.
Step-by-Step Solution:
Given:
$$0.38+0.27$$
Adding:
$$0.38+0.27=0.65$$
Hence, the correct answer is:
$$0.65$$
Exam Tip:
Write decimal points in one vertical line before performing addition.
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. Multiplication of Fractions
$$\frac{a}{b}\times\frac{c}{d}=\frac{ac}{bd}$$
6. Division of Fractions
$$\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}$$
7. Decimal Conversion
$$\frac{8}{10}=0.8$$
$$\frac{45}{100}=0.45$$
FAQs
1. What are equivalent fractions?
Fractions that represent the same value.
Example:
$$\frac{3}{5}=\frac{6}{10}$$
2. What is a proper fraction?
A fraction whose numerator is smaller than its denominator.
Example:
$$\frac{2}{7}$$
3. How do we multiply fractions?
Multiply the numerators and denominators separately.
4. How do we convert fractions into decimals?
Divide the numerator by the denominator.
5. What is:
$$\frac{25}{100}$$
in decimal form?
$$0.25$$
Common Mistakes
❌ Adding denominators while adding fractions.
❌ Forgetting to simplify fractions.
❌ Misplacing decimal points.
❌ Multiplying fractions incorrectly.
❌ Ignoring equivalent fractions.
Quick Revision Notes
✔ Equivalent fractions have the same value.
✔ Add like fractions by adding numerators.
✔ Simplify fractions whenever possible.
✔ Multiply numerators and denominators separately.
✔ 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
- Class 7 Maths Chapter2 Fractions and Decimals all topic MCQ -Part
- Class 7 Maths Chapter 2 Fractions and Decimals MCQ – Part 2 3
- 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
- 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
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