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

T=6.64add the 1.04 and 5.60, you can check by subtracting 6.64 by 5.60...

Find the number if 7/3 of it is 5 5/6 - id735567156938, victoriakraus6599

XynonAdat

30.01.2022

$\dfrac{5}{2}.$

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 $\dfrac{5}{2}.$

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