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 \(\frac{8}{15}\).