Answer:
number = 2 17/56
Step-by-step explanation:
[tex]2\frac{2}{3} \ of what \ number \ is \ 6\frac{1}{7}[/tex]
Let the number is x
∴ [tex]2\frac{2}{3} * x = 6 \frac{1}{7} \\\frac{8}{3} x = \frac{43}{7}[/tex]
Multiply both sides by 3/8
[tex]\frac{3}{8} *\frac{8}{3} x = \frac{3}{8}* \frac{43}{7}\\x=\frac{3*43}{8*7}=\frac{129}{56} = \frac{112+17}{56}= 2 \frac{17}{56}[/tex]