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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 concepts in mathematics that help students perform calculations involving parts of a whole. These concepts are widely used in daily life, measurements, money transactions, and advanced mathematical studies.
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 essential for solving practical problems involving measurements, percentages, and financial calculations. A strong understanding of these concepts improves mathematical accuracy and 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 is an improper fraction?
A) $$\frac{2}{9}$$
B) $$\frac{5}{12}$$
C) $$\frac{11}{7}$$
D) $$\frac{3}{8}$$
Answer:
$$\frac{11}{7}$$
Useful Formula for this Question:
An improper fraction has numerator greater than or equal to denominator.
Concept Behind This Question:
Students should identify improper fractions correctly.
Step-by-Step Solution:
For an improper fraction:
$$\text{Numerator}\ge\text{Denominator}$$
Only
$$\frac{11}{7}$$
has numerator greater than denominator.
Therefore, the correct answer is:
$$\frac{11}{7}$$
Exam Tip:
If the numerator is larger than the denominator, the fraction is improper.
Q2. Simplify:
$$\frac{7}{8}-\frac{3}{8}$$
A) $$\frac{4}{8}$$
B) $$\frac{1}{2}$$
C) Both A and B
D) $$\frac{3}{5}$$
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.
Step-by-Step Solution:
Given:
$$\frac{7}{8}-\frac{3}{8}$$
Subtract numerators:
$$=\frac{7-3}{8}$$
$$=\frac{4}{8}$$
Simplify:
$$\frac{4}{8}=\frac{1}{2}$$
Therefore both values are correct.
Hence, the correct answer is:
Both A and B
Exam Tip:
Always simplify the fraction to its lowest form.
Q3. Convert into decimal:
$$\frac{35}{100}$$
A) $$3.5$$
B) $$0.35$$
C) $$35.0$$
D) $$0.035$$
Answer:
$$0.35$$
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:
$$\frac{35}{100}$$
Dividing by
$$100$$
moves the decimal point two places left.
$$\frac{35}{100}=0.35$$
Hence, the correct answer is:
$$0.35$$
Exam Tip:
A denominator of
$$100$$
means two decimal places.
Q4. Find:
$$\frac{4}{5}\times\frac{3}{8}$$
A) $$\frac{12}{40}$$
B) $$\frac{3}{10}$$
C) Both A and B
D) $$\frac{5}{12}$$
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:
$$\frac{4}{5}\times\frac{3}{8}$$
$$=\frac{12}{40}$$
Simplifying:
$$=\frac{3}{10}$$
Therefore both values are equivalent.
Hence, the correct answer is:
Both A and B
Exam Tip:
Reduce the answer to the lowest form whenever possible.
Q5. Add:
$$0.45+0.23$$
A) $$0.68$$
B) $$0.78$$
C) $$0.58$$
D) $$0.88$$
Answer:
$$0.68$$
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:
$$0.45+0.23$$
Adding:
$$0.45+0.23=0.68$$
Hence, the correct answer is:
$$0.68$$
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. Addition of Like Fractions
$$\frac{a}{b}+\frac{c}{b}=\frac{a+c}{b}$$
4. Subtraction 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
$$\frac{25}{100}=0.25$$
$$\frac{8}{10}=0.8$$
FAQs
1. What is a proper fraction?
A fraction whose numerator is less than its denominator.
Example:
$$\frac{4}{9}$$
2. What is an improper fraction?
A fraction whose numerator is greater than or equal to its denominator.
Example:
$$\frac{11}{7}$$
3. How do we subtract like fractions?
Subtract the numerators and keep the denominator the same.
4. How do we convert fractions into decimals?
Divide the numerator by the denominator.
5. What is:
$$\frac{45}{100}$$
in decimal form?
$$0.45$$
Common Mistakes
❌ Adding denominators while adding fractions.
❌ Forgetting to simplify answers.
❌ Misplacing decimal points.
❌ Incorrect multiplication of denominators.
❌ Forgetting reciprocal while division.
Quick Revision Notes
✔ Proper fraction:
$$a<b$$
✔ Improper fraction:
$$a\ge b$$
✔ Add and subtract like fractions directly.
✔ Multiply numerators and denominators separately.
✔ Align decimal points correctly.
Conclusion
Fractions and Decimals is an important chapter in Class 7 Mathematics. Understanding fractions and decimals helps students perform calculations accurately and solve practical problems efficiently. Regular MCQ practice improves speed, accuracy, and conceptual understanding for examinations.
Related links
- 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
- Class 7 Maths Chapter 1 Integers, operations on integers
- Class7 Maths Chapter 1 Integers-subtraction-multiplication
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