Reduce $\frac{65}{177}$ in the lowest form.


Given :

The given fraction is $\frac{65}{177}$.

To do :

We have to reduce $\frac{65}{177}$ in the lowest form.

Solution :

Simple Fractions: A fraction is in its simplest form when the top and bottom cannot be any smaller, while still being whole numbers.

For example:

$\frac{3}{6}$ can be simplified to $\frac{1}{2}$. To simplify a fraction, divide the top and bottom by the greatest number that will divide both the numbers exactly.

Factors of 65 are 1,5,13 and 65.

Factors of 177 are 1,3,59 and 177.

There are no common factors for 65 and 177.

Therefore,

$\frac{65}{177}$ is already in its lowest form.

312507=104×3169×3=104169=8×1313×13=813 \frac{312}{507} =\frac{104\times 3}{169\times 3} =\frac{104}{169} =\frac{8\times 13}{13\times 13} =\frac{8}{13}" role="presentation" style="display: inline; line-height: normal; font-size: 16.94px; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">\frac{312}{507} =\frac{104\times 3}{169\times 3} =\frac{104}{169} =\frac{8\times 13}{13\times 13} =\frac{8}{13}


Updated on: 10-Oct-2022

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