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Which of the following is greater?$\frac{1}{4} \times \frac{1}{4}$ or $\frac{1}{4} \times \frac{1}{7}$
Given :
The given fractions are $\frac{1}{4} \times \frac{1}{4}$ and $\frac{1}{4} \times \frac{1}{7}$.
To do :
We have to find which of the given fractions is greater.
Solution :
$\frac{1}{4} \times \frac{1}{4} = \frac{(1\times 1)}{(4\times 4)} = \frac{1}{16}$
$\frac{1}{4} \times \frac{1}{7} = \frac{(1\times 1)}{(4\times 7)} = \frac{1}{28}$
The number with the smaller denominator is the greater number.
Therefore,
$16<28$
$ \frac{1}{16} > \frac{1}{28}$
$\frac{1}{4} \times \frac{1}{4} >\frac{1}{4} \times \frac{1}{7}$
Therefore, the $\frac{1}{4} \times \frac{1}{4}$ is greater than$\frac{1}{4} \times \frac{1}{7}$.
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