Question
Solve: $\frac{5}{ 13}-\frac{-8}{26}$
✓
Answer
Given, $\frac{5}{13}-\Big(\frac{-8}{27}\Big)$
$=\frac{5}{13}+\frac{8}{26}=\frac{5\times2}{13\times2}+\frac{8\times1}{26\times1}$
$[\therefore LCM$ of $4$ and $4$ and $7$ is $28,$ so convert each of the given fraction to equivalent fractions with denominator $28]$
$=\frac{10}{26}+\frac{8}{26}$
$[$dividing numerator and denominatore by $2]$
$=\frac{10+8}{26}=\frac{18}{26}$
$=\frac{18+2}{26+2}=\frac{9}{13}$
$=\frac{5}{13}+\frac{8}{26}=\frac{5\times2}{13\times2}+\frac{8\times1}{26\times1}$
$[\therefore LCM$ of $4$ and $4$ and $7$ is $28,$ so convert each of the given fraction to equivalent fractions with denominator $28]$
$=\frac{10}{26}+\frac{8}{26}$
$[$dividing numerator and denominatore by $2]$
$=\frac{10+8}{26}=\frac{18}{26}$
$=\frac{18+2}{26+2}=\frac{9}{13}$
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