Question

2/3: 5/6 : : 8/7 : ?

Answer 1

hope i help you.....

Answer 2

$\displaystyle \sf{ \frac{2}{3} : \frac{5}{6} : : \frac{8}{7} : } \frac{10}{7}$

Given :

$\displaystyle \sf{ \frac{2}{3} : \frac{5}{6} : : \frac{8}{7} : \: ? }$

To find :

The number

Solution :

Step 1 of 2 :

Assume the required number

By the given condition

$\displaystyle \sf{ \frac{2}{3} : \frac{5}{6} : : \frac{8}{7} : x }$

Step 2 of 2 :

Find the number

$\displaystyle \sf{ \frac{2}{3} : \frac{5}{6} : : \frac{8}{7} : x }$

$\displaystyle \sf{ \implies \: \frac{\frac{2}{3} }{\frac{5}{6}} = \frac{\frac{8}{7}}{x} }$

$\displaystyle \sf{ \implies \: \frac{2}{3} \times \frac{6}{5} = \frac{8}{7x}}$

$\displaystyle \sf{ \implies \: \frac{4}{5} = \frac{8}{7x}}$

$\displaystyle \sf{ \implies \: x = \frac{40}{28} }$

$\displaystyle \sf{ \implies \: x = \frac{10}{7} }$

Hence the required number

$\displaystyle \sf{ = \frac{10}{7} }$

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