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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 quantities accurately and perform calculations involving parts of a whole. These concepts are important in mathematics as well as in everyday life situations involving measurements, money, and data.
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 widely used in shopping, banking, engineering, science, and daily calculations. Understanding these concepts strengthens arithmetic skills and logical reasoning.
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:
$$\frac{7}{8}$$
?
A) $$\frac{14}{16}$$
B) $$\frac{21}{24}$$
C) $$\frac{28}{32}$$
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:
$$\frac{14}{16}=\frac{7}{8}$$
$$\frac{21}{24}=\frac{7}{8}$$
$$\frac{28}{32}=\frac{7}{8}$$
All fractions represent the same value.
Hence, the correct answer is:
All of these
Exam Tip:
Equivalent fractions look different but have the same value.
Q2. Simplify:
$$\frac{19}{25}-\frac{4}{25}$$
A) $$\frac{15}{25}$$
B) $$\frac{3}{5}$$
C) Both A and B
D) $$\frac{23}{25}$$
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:
$$\frac{19}{25}-\frac{4}{25}$$
$$=\frac{15}{25}$$
Simplify:
$$=\frac{3}{5}$$
Therefore both answers are equivalent.
Hence, the correct answer is:
Both A and B
Exam Tip:
Always simplify the fraction after subtraction.
Q3. Convert into decimal:
$$\frac{27}{100}$$
A) $$2.7$$
B) $$0.27$$
C) $$27.0$$
D) $$0.027$$
Answer:
$$0.27$$
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:
$$\frac{27}{100}$$
Move the decimal point two places left.
$$\frac{27}{100}=0.27$$
Hence, the correct answer is:
$$0.27$$
Exam Tip:
Denominator
$$100$$
means two decimal places.
Q4. Find:
$$\frac{9}{20}\times\frac{5}{18}$$
A) $$\frac{45}{360}$$
B) $$\frac{1}{8}$$
C) Both A and B
D) $$\frac{9}{2}$$
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:
$$\frac{9}{20}\times\frac{5}{18}$$
$$=\frac{45}{360}$$
Simplify:
$$=\frac{1}{8}$$
Therefore both fractions are equivalent.
Hence, the correct answer is:
Both A and B
Exam Tip:
Use cross-cancellation before multiplication whenever possible.
Q5. Add:
$$0.72+0.19$$
A) $$0.91$$
B) $$0.81$$
C) $$1.01$$
D) $$0.89$$
Answer:
$$0.91$$
Useful Formula for this Question:
Align decimal points before addition.
Concept Behind This Question:
Students should add decimal numbers correctly.
Step-by-Step Solution:
$$0.72+0.19$$
$$=0.91$$
Hence, the correct answer is:
$$0.91$$
Exam Tip:
Write decimal points directly below each other before 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. 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
$$\frac{27}{100}=0.27$$
$$\frac{6}{10}=0.6$$
FAQs
1. What are equivalent fractions?
Fractions that represent the same value.
Example:
$$\frac{7}{8}=\frac{14}{16}$$
2. What is a mixed fraction?
A combination of a whole number and a proper fraction.
Example:
$$2\frac{1}{4}$$
3. How do we subtract like fractions?
Subtract the numerators while keeping the denominator unchanged.
4. How do we convert fractions into decimals?
Divide the numerator by the denominator.
5. What is:
$$\frac{27}{100}$$
in decimal form?
$$0.27$$
Common Mistakes
❌ Adding or subtracting denominators.
❌ Forgetting to simplify fractions.
❌ Misplacing decimal points.
❌ Multiplying fractions incorrectly.
❌ Ignoring equivalent fractions.
Quick Revision Notes
✔ Equivalent fractions have the same value.
✔ Simplify fractions whenever possible.
✔ Convert fractions into decimals by division.
✔ Align decimal points properly.
✔ Use cancellation before multiplication.
Conclusion
Fractions and Decimals is an essential 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
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- Class 7 Maths Chapter2 Fractions and Decimals all topic MCQ -Part 3
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