Question

Is $\frac{11}{12}$ equals to $\frac{3}{4}$? write and indicate how to solve.

Answer 1

Explanation:

Let $\frac{a}{b}=\frac{11}{12}$ and $\frac{c}{d}=\frac{3}{4}$ 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 $\frac{a}{b}\ne \frac{c}{d}$

$\Rightarrow ad=11\times 4=44$and $bc=12\times 3=36$

$\Rightarrow$Here $44\ne 36\iff ad\ne bc\iff \frac{11}{12}\ne \frac{3}{4}$

Hence, $\frac{11}{12}$will not be equal to $\frac{3}{4}$.