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

Please find below the solution to the asked query:

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 ,

$$\begin{gathered} \frac{35}{3}\left( x \right) = 3 \\ \mathbf{\Rightarrow }\mathit{x}\mathbf{ }\mathbf{=}\mathbf{ }\frac{\mathbf{9}}{\mathbf{35}} \end{gathered}$$

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

Hope this information will clear your doubts about topic.