Question

Complete the work to solve for y:

What is the value for y?

Answer 1

The value of y = 11/2

Explanation:

As the work is completed up to the point

`(11)/(5)=(2)/(5)y`

Now completing the remaining work

`(11)/(5)=(2)/(5)y`

Dividing both sides by 2/5

`(11)/(5)/ (2)/(5)=(2)/(5)y/ (2)/(5)`

`(2)/(5)\cdot (5y)/(2)=((11)/(5))/((2)/(5))` ∵
`\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/((b)/(c))=(a\cdot \:c)/(b)`

`(2y\cdot \:5)/(5\cdot \:2)=((11)/(5))/((2)/(5))` ∵
`\mathrm{Multiply\:fractions}:\quad (a)/(b)\cdot (c)/(d)=(a\:\cdot \:c)/(b\:\cdot \:d)`

`(y\cdot \:5)/(5)=((11)/(5))/((2)/(5))` ∵
`\mathrm{Cancel\:the\:common\:factor:}\:2`

`y=((11)/(5))/((2)/(5))` ∵
`\mathrm{Cancel\:the\:common\:factor:}\:5`

`y=(11\cdot \:5)/(5\cdot \:2)` ∵
`\mathrm{Divide\:fractions}:\quad ((a)/(b))/((c)/(d))=(a\cdot \:d)/(b\cdot \:c)`

`y=(11)/(2)` ∵
`\mathrm{Cancel\:the\:common\:factor:}\:5`

Therefore, the value of y = 11/2