Class 7 Fractions and Decimals — practice questions with answers

Fractions and Decimals · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. Compute

\frac{2}{3} + \frac{1}{6}

A $\frac{5}{6}$
B $\frac{3}{9}$
C $\frac{3}{6}$
D $\frac{2}{9}$

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Answer: A)

\frac{5}{6}

LCM(3, 6) = 6. Convert

\frac{2}{3} = \frac{4}{6}

. Add:

\frac{4}{6} + \frac{1}{6} = \frac{5}{6}

2. A wire of length 9.6 m is cut into 4 equal pieces. What is the length of each piece (in m)?

A3.4
B4.8
C1.4
D2.4

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Answer: D) 2.4

9.6 ÷ 4 = 2.4 m. (96 ÷ 4 = 24, place decimal: 2.4.)

3. Compute

\frac{1}{2}

\frac{2}{3}

of 18.

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Answer: A) 6

\frac{2}{3} \times 18 = 12

, then

\frac{1}{2} \times 12 = 6

4. Which mixed number is equal to

\frac{23}{6}

A $3 \frac{5}{6}$
B $4 \frac{1}{6}$
C $3 \frac{1}{6}$
D $2 \frac{5}{6}$

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Answer: A)

3 \frac{5}{6}

Divide 23 by 6: quotient 3, remainder 5. The quotient is the whole part and the remainder goes on top:

3 \frac{5}{6}

. Rounding 23 ÷ 6 up to 4 instead of using the remainder gives

4 \frac{1}{6}

5. Which one of these statements about decimals is FALSE?

A0.7 and 0.70 represent the same number
BDividing a decimal by 10 moves its decimal point one place to the left
CIn 5.083 the digit 8 is in the hundredths place
D0.25 is greater than 0.5, because 25 is greater than 5

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Answer: D) 0.25 is greater than 0.5, because 25 is greater than 5

Writing 0.5 as 0.50 shows the truth: 0.25 < 0.50, so that statement is false — you may only compare decimals place by place, never by the size of the digits after the point. The other three are correct: extra zeros on the right change nothing, ÷10 shifts the point one place left, and in 5.083 the 8 does sit in the hundredths place.

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