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Tcecarenko [31]
3 years ago
11

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

Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0

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}.

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