Question

(a)
(i) Provide the number in the box , such that $\frac{2}{3}$× __= $\frac{10}{30}$.
(ii) The simplest form of the number obtained in __ is _____.
(b)
(i) Provide the number in the box , such that $\frac{3}{5}$ × __=$\frac{24}{75}$.
(ii) The simplest form of the number obtained in __is _____.

Answer 1

(a)
(i) As$\frac{2}{3}$ × $\frac{5}{10}$ = 10 / 30
Therefore, the number in the box, such that $\frac{2}{3}$× __ = $\frac{10}{30}$ is $\frac{5}{10}$
(ii) The simplest form of $\frac{5}{10}$ is $\frac{1}{2}$.

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(b)
(i) As $\frac{3}{5}$ × $\frac{8}{15}$ = $\frac{24}{75}$.
Therefore, the number in the box, such that $\frac{3}{5}$ × __= $\frac{24}{75}$ is $\frac{8}{15}$.
(ii) As $\frac{8}{15}$ cannot be further simplified, therefore, its simplest form is $\frac{8}{15}$.