# the product of a fraction with the sum of 5 1/3 and 6 1/3 is 3. What is the fraction?

Given : The product of a fraction with the sum of $5\frac{1}{3}=\frac{15+1}{3}=\frac{16}{3}$ and $6\frac{1}{3}=\frac{18+1}{3}=\frac{19}{3}$ is 3 ,

So , Sum of given numbers = $\frac{16}{3}+\frac{19}{3}=\frac{16+19}{3}=\frac{\mathbf{35}}{\mathbf{3}}$

Let , Our fraction =

*x*,

$\frac{35}{3}\left(x\right)=3\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\mathbf{\Rightarrow}\mathit{x}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{9}}{\mathbf{35}}$

Therefore,

**Our fraction = $\frac{\mathbf{9}}{\mathbf{35}}$ ( Ans )**

Hope this information will clear your doubts about topic.

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