Chapter 6, Problem 7MPS

To determine

To Solve:

The given problem.

Answer to Problem 7MPS

  $\frac{27}{12}$

Explanation of Solution

Given:

Given statement is :

The numerator of a fraction is three more than twice the denominator.If the fraction is equal to $\frac{9}{4}$ , find the fraction .

Calculation:

Let

x = Denominator of the fraction.

Since the numerator of the fraction is three more than twice the denominator,

Numerator of the fraction = 3 + 2x

  $\begin{array}{l}Hence,\\ \frac{3+2x}{x}=\frac{9}{4}\\ \Rightarrow 4(3+2x)=9x\mathrm{..........}[\text{multiply each side by 4x]}\\ \Rightarrow 12+8x=9x\\ \Rightarrow 12=9x-8x\mathrm{.............}[\text{subtract 8x from each side]}\\ \Rightarrow x=12\\ \Rightarrow \text{Fraction is }\frac{3+2(12)}{12}=\frac{27}{12}\end{array}$