8. (a)  (i) Provide the number in the box   , such that  \frac{2}{3}\times = \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}\times = \frac{24}{75}.

                 (ii) The simplest form of the number obtained in is _________.

Answers (1)
P Pankaj Sanodiya

As we Know, That in the multiplication of fraction, the numerator of both fraction are multiplied to give numerator of new fraction, and denominator of both fractions is multiplied to give the denominator of answer fraction. So,

  \frac{2}{3}\times = \frac{10}{30}.

We have to multiply 5 with 2 in the numerator to get numerator equal to 10 and 10 with 3 in the denominator to get 30. So,

\Rightarrow \frac{2}{3}\times\frac{5}{10}=\frac{10}{30}

The Simplest Form :

\Rightarrow \frac{5}{10}=\frac{1}{2}.

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