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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 are important concepts used to represent parts of a whole and numbers between integers. These concepts are widely used in real-life calculations such as money, measurement, data handling, and comparison of quantities.
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 between Fractions and Decimals
Why This Topic Is Important?
Fractions and decimals are essential for everyday calculations like shopping discounts, banking, cooking measurements, and scientific data. A strong understanding helps improve accuracy and speed in mathematics.
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 $$\frac{6}{11}$$?
A) $$\frac{12}{22}$$
B) $$\frac{18}{33}$$
C) $$\frac{24}{44}$$
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 integer.
Step-by-Step Solution:
$$\frac{12}{22}=\frac{6}{11}$$
$$\frac{18}{33}=\frac{6}{11}$$
$$\frac{24}{44}=\frac{6}{11}$$
Hence, all are equivalent.
Exam Tip:
Always check simplification before concluding equivalence.
Q2. Simplify:
$$\frac{13}{15}+\frac{2}{15}$$
A) $$\frac{15}{15}$$
B) $$1$$
C) Both A and B
D) $$\frac{13}{17}$$
Answer:
Both A and B
Useful Formula for this Question:
$$\frac{a}{b}+\frac{c}{b}=\frac{a+c}{b}$$
Step-by-Step Solution:
$$\frac{13}{15}+\frac{2}{15}=\frac{15}{15}$$
$$\frac{15}{15}=1$$
Hence, both forms are correct.
Exam Tip:
Fraction equal to $$\frac{n}{n}$$ is always $$1$$.
Q3. Convert into decimal:
$$\frac{48}{100}$$
A) $$0.48$$
B) $$4.8$$
C) $$48.0$$
D) $$0.048$$
Answer:
$$0.48$$
Step-by-Step Solution:
$$\frac{48}{100}=0.48$$
Exam Tip:
Denominator $$100$$ means shift decimal two places left.
Q4. Find:
$$\frac{5}{14}\times\frac{7}{10}$$
A) $$\frac{35}{140}$$
B) $$\frac{1}{4}$$
C) Both A and B
D) $$\frac{7}{2}$$
Answer:
Both A and B
Step-by-Step Solution:
$$\frac{5}{14}\times\frac{7}{10}=\frac{35}{140}$$
Simplify:
$$\frac{35}{140}=\frac{1}{4}$$
Exam Tip:
Cancel common factors before multiplying.
Q5. Add:
$$0.56+0.29$$
A) $$0.85$$
B) $$0.75$$
C) $$0.95$$
D) $$0.65$$
Answer:
$$0.85$$
Step-by-Step Solution:
$$0.56+0.29=0.85$$
Exam Tip:
Always align decimal points before addition.
Important Formulas & Concepts
1. Equivalent Fractions
$$\frac{a}{b}=\frac{ka}{kb}$$
2. Addition of Like Fractions
$$\frac{a}{b}+\frac{c}{b}=\frac{a+c}{b}$$
3. Subtraction 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. Decimal Conversion
$$\frac{48}{100}=0.48$$
FAQs
1. What is an equivalent fraction?
Fractions that have the same value even if they look different.
2. What is $$1$$ as a fraction?
Any fraction like $$\frac{5}{5}$$ or $$\frac{15}{15}$$.
3. How do we multiply fractions?
Multiply numerator with numerator and denominator with denominator.
4. How do we convert fractions into decimals?
Divide numerator by denominator.
5. What is $$\frac{48}{100}$$ in decimal?
$$0.48$$
Common Mistakes
❌ Adding denominators
❌ Forgetting simplification
❌ Wrong decimal placement
❌ Not canceling before multiplication
❌ Ignoring equivalent fractions
Quick Revision Notes
✔ Equivalent fractions represent same value
✔ Always simplify final answer
✔ Align decimal points carefully
✔ Use cancellation in multiplication
✔ Fraction $$\frac{n}{n}=1$$
Conclusion
Fractions and Decimals is a core topic in Class 7 Mathematics. Regular MCQ practice improves calculation speed, accuracy, and conceptual understanding for exams and real-life applications.
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
- Class 7 Maths Chapter 2 Fractions and Decimals addition
- Class 7 Maths Chapter 2 Fractions and Decimals
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- 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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