Answer:
The value of y = 11/2
Step-by-step explanation:
As the work is completed up to the point
[tex]\frac{11}{5}=\frac{2}{5}y[/tex]
Now completing the remaining work
[tex]\frac{11}{5}=\frac{2}{5}y[/tex]
Dividing both sides by 2/5
[tex]\frac{11}{5}\div \frac{2}{5}=\frac{2}{5}y\div \frac{2}{5}[/tex]
[tex]\frac{2}{5}\cdot \frac{5y}{2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]
[tex]\frac{2y\cdot \:5}{5\cdot \:2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]\frac{y\cdot \:5}{5}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]
[tex]y=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]
[tex]y=\frac{11\cdot \:5}{5\cdot \:2}[/tex] ∵ [tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]
[tex]y=\frac{11}{2}[/tex] ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]
Therefore, the value of y = 11/2
