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CodeVID-M04-04-CMF-01
Compare Fractions - Assignment
Chapter: Equivalent Fractions
Topic: Compare Fractions with Unlike Denominators
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
With the same denominator, the bigger fraction has the bigger:
  • A.denominator
  • B.numerator
  • C.whole
  • D.gap
2.
With the same numerator, the bigger fraction has the ___ denominator.
  • A.bigger
  • B.smaller
  • C.equal
  • D.even
3.
Which is greater, $\tfrac23$ or $\tfrac34$?
  • A.$\tfrac23$
  • B.$\tfrac34$
  • C.equal
  • D.cannot say
4.
To compare unlike fractions, first make the ___ equal.
  • A.numerators
  • B.denominators
  • C.signs
  • D.wholes
5.
Which is greater, $\tfrac14$ or $\tfrac18$?
  • A.$\tfrac14$
  • B.$\tfrac18$
  • C.equal
  • D.cannot say
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Which is greater: $\tfrac35$ or $\tfrac25$?
7.
Which is greater: $\tfrac13$ or $\tfrac16$?
8.
Fill in: $\tfrac12\ \rule{1em}{0.4pt}\ \tfrac58$.
9.
Which is smaller: $\tfrac14$ or $\tfrac12$?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Compare $\tfrac23$ and $\tfrac34$ using a common denominator.
11.
Compare $\tfrac25$ and $\tfrac12$.
12.
Order from smallest to largest: $\tfrac12,\ \tfrac34,\ \tfrac14$.
13.
Use the $\tfrac12$ benchmark to compare $\tfrac38$ and $\tfrac58$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Compare $\tfrac34$ and $\tfrac56$ by writing both with denominator $12$, then state which is larger.
15.
Arrange in ascending order: $\tfrac12,\ \tfrac23,\ \tfrac56,\ \tfrac13$ (use denominator $6$).

Answer Key

Section A — Multiple Choice Questions
  1. (B) numerator
  2. (B) smaller
  3. (B) $\tfrac34$
  4. (B) denominators
  5. (A) $\tfrac14$
Section B — Short Answer (2 marks)
  1. $\tfrac35$.
  2. $\tfrac13$.
  3. $<$.
  4. $\tfrac14$.
Section C — Short Answer (3 marks)
  1. $\tfrac{8}{12}<\tfrac{9}{12}$, so $\tfrac34>\tfrac23$.
  2. $\tfrac{4}{10}<\tfrac{5}{10}$, so $\tfrac12>\tfrac25$.
  3. $\tfrac14,\ \tfrac12,\ \tfrac34$.
  4. $\tfrac58>\tfrac38$.
Section D — Long Answer (5 marks)
  1. $\tfrac{9}{12}$ and $\tfrac{10}{12}$, so $\tfrac56>\tfrac34$.
  2. $\tfrac{3}{6},\tfrac{4}{6},\tfrac{5}{6},\tfrac{2}{6}\Rightarrow \tfrac13,\ \tfrac12,\ \tfrac23,\ \tfrac56$.
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