Question

H- -1/2 = 8 1/2 what is the variable.

Answer 1

Variable h = 8

Explanation:

Given:

`\sf h-\left(-(1)/(2)\right)=8(1)/(2)`

The variable in the equation can l be solved by converting the mixed fraction to an improper fraction.

The improper fraction for:

`\sf 8(1)/(2) =(8* 2+1)/(2)=(17)/(2)`

So, the equation becomes:

`\sf h-\left(-(1)/(2)\right)=(17)/(2)`

It also can be written as:

`\sf h+(1)/(2)=(17)/(2)`

Since, in multiplication of minus and minus gives positive plus.

`\sf \textsf{Subtracting }(1)/(2) \textsf{ on both sides}`

`\sf h+(1)/(2)- (1)/(2)=(17)/(2)-(1)/(2)`

`\sf h=(17-1)/(2)`

`\sf h=(16)/(2)`

`\sf h=8`

Therefore, the variable h is equal to 8.