Answer :

Answer:

x = [tex]\frac{7}{12}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{\frac{7}{8} }[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3x = 2 × [tex]\frac{7}{8}[/tex] = [tex]\frac{7}{4}[/tex] ( divide both sides by 3 )

x = [tex]\frac{7}{12}[/tex]

micahdisu

Answer: The number that goes in the green box is 7

Step-by-step explanation: The LHS of the equation can also be expressed as,

x/ (7/8) OR

x times (8/7)

That is, 8x/7

In other words, the equation now becomes;

8x/7 = 2/3

By cross multiplication we now have

8x(3) = 7(2)

24x = 14

Divide both sides of the equation by 24

x = 14/24

(Simplified further)

x = 7/12

Therefore the number that goes in the green box is 7.

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