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Vidaara.orgClass 6 · Mathematics
CodeVID-M06-04-CDE-01
Converting Fractions to Decimals - Assignment
Chapter: Fractions, Decimals & Percents
Topic: Converting Fractions to Decimals
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 convert a fraction to a decimal, divide the numerator by the:
  • A.numerator
  • B.denominator
  • C.whole
  • D.sum
2.
$\tfrac12=$
  • A.$0.2$
  • B.$0.5$
  • C.$0.25$
  • D.$0.12$
3.
$\tfrac34=$
  • A.$0.34$
  • B.$0.75$
  • C.$0.43$
  • D.$0.7$
4.
$\tfrac14=$
  • A.$0.25$
  • B.$0.5$
  • C.$0.4$
  • D.$0.14$
5.
$\tfrac{1}{10}=$
  • A.$0.01$
  • B.$0.1$
  • C.$1.0$
  • D.$10$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Convert $\tfrac15$ to a decimal.
7.
Convert $\tfrac34$ to a decimal.
8.
Convert $\tfrac25$ to a decimal.
9.
Convert $\tfrac{7}{10}$ to a decimal.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Convert $\tfrac58$ to a decimal.
11.
Convert $\tfrac38$ to a decimal.
12.
Convert $\tfrac{9}{20}$ to a decimal.
13.
Convert $\tfrac18$ to a decimal.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Convert $\tfrac78$ and $\tfrac{11}{20}$ to decimals.
15.
Convert $\tfrac13$ to a decimal and state whether it terminates or repeats.

Answer Key

Section A — Multiple Choice Questions
  1. (B) denominator
  2. (B) $0.5$
  3. (B) $0.75$
  4. (A) $0.25$
  5. (B) $0.1$
Section B — Short Answer (2 marks)
  1. $0.2$.
  2. $0.75$.
  3. $0.4$.
  4. $0.7$.
Section C — Short Answer (3 marks)
  1. $0.625$.
  2. $0.375$.
  3. $0.45$.
  4. $0.125$.
Section D — Long Answer (5 marks)
  1. $0.875$ and $0.55$.
  2. $0.333\ldots$ — a repeating decimal.
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