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

2 Answers
Principal
Dec 9, 2016

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

SCooke
Dec 9, 2016

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

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