Find: $\left|\frac{7}{13}\ -\ \frac{3}{26}\right|$

Given: $\left|\frac{7}{13}\ -\ \frac{3}{26}\right|$

To find: Here we have to find the value of the given expression $\left|\frac{7}{13}\ -\ \frac{3}{26}\right|$.

Solution:

$\frac{7}{13} \ -\ \frac{3}{26}$

$=\ \frac{7( 2) \ -\ 3}{26}$

$=\ \frac{14\ -\ 3}{26}$

$=\ \frac{11}{26}$

Now,

$\left|\frac{7}{13}\ -\ \frac{3}{26}\right|$

$=\ \left|\frac{11}{26}\right|$

For modulus: $|a|\ =\ a,\ a\ \geq\ 0$;

$=\ \mathbf{\frac{11}{26}}$

So, value of the given expression is $\frac{11}{26}$.

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Updated on: 10-Oct-2022

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