Three children shared a basket of mangoes in such a way that the first child took 14 1 4 of the mangoes and the second 34 3 4 of the remainder. What fractio...

Three children shared a basket of mangoes in such a way that the first child took $\frac{1}{4}$ of the mangoes and the second $\frac{3}{4}$ of the remainder. What fraction of the mangoes did the third child take?

Answer Details

You can use any whole numbers (eg. 1. 2. 3) to represent all the mangoes in the basket.
If the first child takes $\frac{1}{4}$ it will remain 1 - $\frac{1}{4}$ = $\frac{3}{4}$
Next, the second child takes $\frac{3}{4}$ of the remainder
which is $\frac{3}{4}$ i.e. find $\frac{3}{4}$ of $\frac{3}{4}$
= $\frac{3}{4}$ x $\frac{3}{4}$
= $\frac{9}{16}$
the fraction remaining now = $\frac{3}{4}$ - $\frac{9}{16}$
= $\frac{12?9}{16}$
= $\frac{3}{16}$