Question

If $\frac{a}{7}$ is equivalent to $\frac{25}{35}$, what is the missing fraction?

____ + $\frac{2}{3}$ = $\frac{a}{7}$

• A. $\frac{1}{21}$
• B. $\frac{1}{21}$
• C. $\frac{3}{21}$
• D. $\frac{5}{21}$

Answer 1

The correct option is A $\frac{1}{21}$

$\frac{a}{7}$ is equivalent to $\frac{25}{35}$
We get equivalent fractions when we multiply the numerator and the denominator by the same number.

Here $\frac{a}{7}$ and $\frac{25}{35}$ are equivalent fractions. To get 35 we will multiply 7 by 5, hence to get 'a' we will have to divide 25 by 5.

Therefore a = $25÷5$ = 5

$\frac{a}{7}$ = $\frac{5}{7}$

Missing number
= $\frac{5}{7}$ - $\frac{2}{3}$

= $\frac{15-14}{21}$

=$\frac{1}{21}$