Convert 276 by 115 into lowest form.

Given: $\frac{276}{115}$

To do: Here we have to convert 276 by 115 into the lowest form.

Solution:

We have to use prime factorization:

276 = 2² $ \times $ 3 $ \times $ 23;

115 = 5 $ \times $ 23;

Now,

$\frac{276}{115}$

$=\ \frac{2^2\  \times\ 3\ \times\ 23}{5\ \times\ 23}$

Dividing both numerator and denominator by 23;

$=\ \frac{(2^2\ \times\ 3\ \times\ 23)\ \div\ 23}{(5\ \times\ 23)\ \div\ 23}$

$=\ \frac{2^2\ \times\ 3}{5}$

$=\ \mathbf{\frac{12}{5}}$

So, value of 276 by 115 into its lowest form is $\frac{12}{5}$.

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Updated on: 10-Oct-2022

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