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A rational number $\frac{2}{5}$ is written as an equivalent fraction $\frac{p}{q}$ where $p + q = 35$ .
Find the numerator $p$ .

Class 7Equivalent Rational NumbersRational Numbers

A11
B10
C20
D9

Step-by-Step Solution

Equivalent fractions of

\frac{2}{5}

are

\frac{2 k}{5 k}

, with sum

2 k + 5 k = 7 k = 35

, so

k = 5

. Then

p = 2 \times 5 = 10

(and

q = 25

).

Answer: B) 10

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