Question

Complete the work to solve for y: What is the value for y?

Answer 1

Answer:

The value of y = 11/2

Step-by-step explanation:

As the work is completed up to the point

$\frac{11}{5}=\frac{2}{5}y$

Now completing the remaining work

$\frac{11}{5}=\frac{2}{5}y$

Dividing both sides by 2/5

$\frac{11}{5}\div \frac{2}{5}=\frac{2}{5}y\div \frac{2}{5}$

$\frac{2}{5}\cdot \frac{5y}{2}=\frac{\frac{11}{5}}{\frac{2}{5}}$            ∵ $\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}$

$\frac{2y\cdot \:5}{5\cdot \:2}=\frac{\frac{11}{5}}{\frac{2}{5}}$              ∵ $\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}$

$\frac{y\cdot \:5}{5}=\frac{\frac{11}{5}}{\frac{2}{5}}$                ∵ $\mathrm{Cancel\:the\:common\:factor:}\:2$

$y=\frac{\frac{11}{5}}{\frac{2}{5}}$                   ∵ $\mathrm{Cancel\:the\:common\:factor:}\:5$

$y=\frac{11\cdot \:5}{5\cdot \:2}$                 ∵  $\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}$            

$y=\frac{11}{2}$                    ∵ $\mathrm{Cancel\:the\:common\:factor:}\:5$

Therefore, the value of y = 11/2