Class 7 Equivalent Rational Numbers — practice questions with answers

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

1. Which rational number is equivalent to

\frac{1}{2}

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Answer: A)

\frac{2}{4}

Multiply numerator and denominator of

\frac{1}{2}

by 2:

\frac{1 \times 2}{2 \times 2} = \frac{2}{4}

2. A rational number in standard form has a positive denominator. The standard form of

\frac{- 6}{- 8}

is:

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Answer: A)

\frac{3}{4}

\frac{- 6}{- 8} = \frac{6}{8}

(a negative over a negative is positive). Reduce by HCF 2:

\frac{6}{8} = \frac{3}{4}

3. Fill the blank:

\frac{9}{12} = \frac{3}{?}

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Answer: D) 4

\frac{9}{12} = \frac{3}{4}

(divide both by 3). So the denominator is 4.

4. Two students simplify

\frac{- 45}{60}

.
Neha divides top and bottom by 5, then by 3.
Ravi divides directly by 15.
What single standard form do both reach?

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Answer: A)

\frac{- 3}{4}

\frac{- 45}{60}

: dividing by HCF 15 gives

\frac{- 3}{4}

. Neha's two-step path (÷5 then ÷3 = ÷15) reaches the same

\frac{- 3}{4}

5. A rational number

\frac{2}{5}

is written as an equivalent fraction

\frac{p}{q}

where p + q = 35.
Find the numerator p.

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Answer: B) 10

Equivalent fractions of

\frac{2}{5}

are

\frac{2 k}{5 k}

, with sum 2k + 5k = 7k = 35, so k = 5. Then p = 2 x 5 = 10 (and q = 25).

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