Question

If a fraction divided by the sum of 2/3 and 1/4 results in 4/11 then Find the fraction. ​

Answer 1

$Sum \:of \: \frac{2}{3} \: and \: \frac{1}{4} \\= \frac{2}{3} + \frac{1}{4} \\= \frac{8+3}{12} \\= \frac{11}{12} \: --(1)$

$Let \: \red{x} \: divided \:by \:Sum \:of \\ \frac{2}{3} \: and \: \frac{1}{4}\: results \:in \: \frac{4}{11}$

$\implies \frac{x}{\frac{11}{12}} = \frac{11}{12}$

$\implies x = \frac{11}{12} \times \frac{11}{12}$

$\implies x = \frac{121}{144}$

Therefore.,

$\red{ Required \: fraction } \green {=\frac{121}{144}}$

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