Question

2 2/3 of what number is 6 1/7

Answer 1

$2\frac{2}{3}$ of $2\frac{17}{56}$ is $6\frac{1}{7}$

Solution:

Given $2\frac{2}{3}$ of what number is $6\frac{1}{7}$.

Let us first convert the mixed fraction into improper fraction.

$2\frac{2}{3}=\frac{(2\times3)+2}{3}=\frac{8}{3}$

$6\frac{1}{7}=\frac{(6\times7)+1}{3}=\frac{43}{3}$

Now, let us take the unknown number be x.

$2\frac{2}{3}\times x=6\frac{1}{7}$

$\frac{8}{3}\times x=\frac{43}{7}$

Do the cross multiplication.

$x=\frac{43}{7}\times\frac{3}{8}$

$x=\frac{43\times3}{7\times8}$

$x=\frac{129}{56}$

Now, again change the improper fraction into mixed fraction.

$x=2\frac{17}{56}$

Hence $2\frac{2}{3}$ of $2\frac{17}{56}$ is $6\frac{1}{7}$.