Question 33

Simplify: ( 4/9+ 3/5)/(5/9+2/5)

Solution

$$\frac{4}{9}+\frac{3}{5}=\frac{\left(20+27\right)}{45}=\frac{47}{45}.$$..................(1)

and

$$\frac{5}{9}+\frac{2}{5}=\frac{\left(25+18\right)}{45}=\frac{43}{45}.$$.................(2)

So, (1)/(2):

$$\frac{47}{45}\div\frac{43}{45}=\frac{47}{45}\times\frac{45}{43}=\frac{47}{43}.$$

B is correct choice.

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