Question

1/3y + 8/3y = 9/3y for y not = / / / (fraction over fraction over fraction) simplify the sum. State any restrictions on the variable

Answer 1

`(1)/(3)y+(8)/(3)y=(9)/(3)y`

Explanation:

As the given expression

`(1)/(3)y+(8)/(3)y=(9)/(3)y`

Simplifying the left side of the expression

`(1)/(3)y+(8)/(3)y`

`\mathrm{Factor\:out\:common\:term\:}y`

`=y\left((1)/(3)+(8)/(3)\right).....A`

Solving

`(1)/(3)+(8)/(3)`

`\mathrm{Apply\:rule}\:(a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)`

`=(1+8)/(3)`

`\mathrm{Add\:the\:numbers:}\:1+8=9`

`=(9)/(3)`

so the equation A becomes

`=(9)/(3)y`

Therefore,

`(1)/(3)y+(8)/(3)y=(9)/(3)y`