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# Add the following fractions. $\dfrac{3}{2},\dfrac{13}{17}$

Last updated date: 13th Jul 2024
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Hint: We solve this question by using basic concepts fractional addition. We are required to solve this question by adding the given two fractions. This is done by considering the LCM or least common multiple of their denominators, then we make the denominators equal to the LCM by multiplying it with a common factor. This is multiplied with the numerator too to make sure that the fraction does not change. Then we add the numerators and obtain the answer.

$\Rightarrow \dfrac{3}{2}+\dfrac{13}{17}$
$\Rightarrow LCM\left( 2,17 \right)=2\times 17=34$
$\Rightarrow \dfrac{3\times 17}{2\times 17}+\dfrac{13\times 2}{17\times 2}$
$\Rightarrow \dfrac{51}{34}+\dfrac{26}{34}$
$\Rightarrow \dfrac{51+26}{34}=\dfrac{77}{34}$
This is the result of adding the two fractions. Hence, by adding $\dfrac{3}{2},\dfrac{13}{17}$ we get $\dfrac{77}{34}.$