Express $\frac{169}{299}$ in its lowest term.

To do: Express $\frac{169}{299}$ in its lowest term.

Solution:

$\frac{169}{299}$

Prime factors of 169 = 13 $\times$ 13

Prime factors of 299 - =13 $\times$ 23

HCF is 13

$\frac{169}{299}$ =  $\frac{13 \times 13}{13 \times 23}$                     $ (13 \ and \ 13 \ get \ cancel)$

$\frac{169}{299}$ =  $\frac{3}{23}$

Therefore, the simplest form of $\frac{169}{299}$ is   $\frac{3}{23}$

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Updated on: 10-Oct-2022

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