Question

Is $\frac{1}{15}$ equals to $\frac{3}{30}$? write and indicate how to solve.

Answer 1

Explanation:

Let $\frac{a}{b}=\frac{1}{15}$ and $\frac{c}{d}=\frac{3}{30}$ two proper fractions respectively.

On cross multiplication or cross product it will be $ad$ and $bc$respectively and if $ad=bc$ then $\frac{a}{b}=\frac{c}{d}$ otherwise $\frac{a}{b}\ne \frac{c}{d}$

$\Rightarrow ad=1\times 30=30$and $bc=15\times 3=45$

$\Rightarrow$Here $30\ne 45\iff ad\ne bc\iff \frac{1}{15}\ne \frac{3}{30}$

Hence, $\frac{1}{15}$will not be equal to $\frac{3}{30}$.