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Vidaara.orgClass 6 · Mathematics
CodeVID-M06-04-DIV-01
Dividing Fractions - Assignment
Chapter: Fractions, Decimals & Percents
Topic: Dividing Fractions
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.
To divide by a fraction, multiply by its:
  • A.square
  • B.reciprocal
  • C.half
  • D.opposite
2.
The reciprocal of $\tfrac34$ is:
  • A.$\tfrac34$
  • B.$\tfrac43$
  • C.$-\tfrac34$
  • D.$\tfrac14$
3.
$\tfrac12\div\tfrac14=$
  • A.$\tfrac18$
  • B.$2$
  • C.$\tfrac14$
  • D.$\tfrac12$
4.
Dividing by $\tfrac12$ is the same as multiplying by:
  • A.$\tfrac12$
  • B.$2$
  • C.$4$
  • D.$\tfrac14$
5.
The reciprocal of a whole number $n$ is:
  • A.$n$
  • B.$\tfrac1n$
  • C.$-n$
  • D.$n^2$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the reciprocal of $\tfrac58$.
7.
Evaluate $\tfrac23\div\tfrac13$.
8.
Evaluate $\tfrac34\div\tfrac12$.
9.
Evaluate $\tfrac12\div4$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Evaluate $\tfrac45\div\tfrac23$.
11.
Evaluate $\tfrac56\div\tfrac{5}{12}$.
12.
Evaluate $3\div\tfrac14$.
13.
Evaluate $\tfrac78\div\tfrac{7}{16}$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A ribbon $\tfrac34$ m long is cut into pieces each $\tfrac18$ m long. How many pieces are obtained?
15.
Evaluate $\left(\tfrac23\div\tfrac49\right)\times\tfrac12$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) reciprocal
  2. (B) $\tfrac43$
  3. (B) $2$
  4. (B) $2$
  5. (B) $\tfrac1n$
Section B — Short Answer (2 marks)
  1. $\tfrac85$.
  2. $2$.
  3. $\tfrac32$.
  4. $\tfrac18$.
Section C — Short Answer (3 marks)
  1. $\tfrac65$.
  2. $2$.
  3. $12$.
  4. $2$.
Section D — Long Answer (5 marks)
  1. $6$ pieces.
  2. $\tfrac34$.
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