Question

How do you solve `\frac { 7} { 10} t = 28`?

Answer 1

`t=40`

Explanation:

The simplest way for me, is to get a common denominator first. So since `10` is the denominator of the fraction `7/10` we will simply do:

`28*10` `/1*10=280/10`

Now cross multiply:

`7/10t=280/10`

`70t=2800=?`

Divide to get the variable alone:

`70/70t=2800/70`

Answer: `t=40`

Answer 2

Move all of the constants to one side of the equation with algebraic operations.

Explanation:

1) Perform the indicated multiplication on the left side to get all of the factors.
`(7/10)*t=28`
2) Divide `(7/10)` from both sides. (all operations must be done on both sides to maintain the equality). Or, in sequence, Divide 7 from both sides, then multiply 10 on both sides.

`t = (10/7)*28`
3) Carry out the indicated operations to simplify the terms.
`t = (10/7)*28 ; t = (280/7) ; t = 40`