Question

Is $\frac{12}{25}$equals to $\frac{2}{5}$? write and indicate how to solve.

Answer 1

Explanation:

Let $\frac{a}{b}=\frac{12}{25}$ and $\frac{c}{d}=\frac{2}{5}$ two proper fractions respectively.

o=On cross multiplication $\left(\frac{a}{b}\xcancel{=\frac{c}{d}}\right)$ or cross product it will be $ad$ and $bc$respectively. if $ad=bc$ then $\frac{a}{b}=\frac{c}{d}$ .

$\Rightarrow ad=12\times 5=60$and $bc=25\times 2=50$

$\Rightarrow$$60\ne 50\iff ad\ne bc$

Hence, $\frac{12}{25}\ne \frac{2}{5}$.