Question

Find the number if 7/3 of it is 5 5/6

Answer 1

Answer: $\dfrac{5}{2}.$

Step-by-step explanation:

To find: The number if  $\dfrac{7}{3}$ of it is $5\dfrac{5}{6}$.

Let x be the number.

Then, as per the statement, we have

$\dfrac{7}{3}x=5\dfrac{5}{6}$

Simplify $5\dfrac{5}{6}$ as $\dfrac{5\times6+5}{6}=\dfrac{35}{6}$

Then, $\dfrac{7}{3}x=\dfrac{35}{6}$

Multiply 3 on both sides, we get

$7x=\dfrac{35}{2}$

Divide both sides by 7, we get

$x=\dfrac{35}{2\times7}\\\\\Rightarrow\ x=\dfrac{5}{2}$

Hence, the number is $\dfrac{5}{2}.$