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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