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  • Write a pair of fractions whose sum is \frac{7}{11} and difference is \frac{2}{11}.

Write a pair of fractions whose sum is \frac{7}{11} and difference is \frac{2}{11}.

Answers (1)

Let one fraction be x.
Another fraction =  \frac{7}{11}-x

According to the question

x-\left(\frac{7}{11}-x\right)=\frac{2}{11}

x-\frac{7}{11}+x=\frac{2}{11}\\

2x-\frac{7}{11}=\frac{2}{11}\\

LCM of 11,1 = 11

\frac{22 x-7}{11}=\frac{2}{11}\\

22 x-7=2\\

22 x=2+7=9

One fraction x=\frac{9}{22}

Another fraction = \frac{7}{11}-x= \frac{7}{11}-\frac{9}{22}

LCM of 11,22 = 22

\\= \frac{7\times 2-9}{22}\\\\=\frac{5}{22}

 

Posted by

Ravindra Pindel

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