Asked by katherine
Damon, the problem in the book is
5/8*t + 2/15*t = 17/20
5/8*t + 2/15*t = 17/20
Answers
Answered by
Damon
I saw it and answered down below.
Answered by
Guido
We have a fractional equation:
5/8*t + 2/15*t = 17/20
Our first goal is to find the LCD.
What is the LCD of 8, 15 and 20?
How about 120?
Yes, LCD = 120.
We now multiply each term on BOTH sides of the fractional equation by 120 to do away with ALL the fractions.
5/8(t) times 120 = 75t
2/15(t) times 120 = 16t
17/20 times 120 = 102
We now have a linear (not fractional) equation:
75t + 16t = 102
Combine like terms on the left side of the equation.
Doing so, we get this:
91t = 102
To find t, divide BOTH sides of the equation by 91 (our coefficient).
t = 102/91
Done!
5/8*t + 2/15*t = 17/20
Our first goal is to find the LCD.
What is the LCD of 8, 15 and 20?
How about 120?
Yes, LCD = 120.
We now multiply each term on BOTH sides of the fractional equation by 120 to do away with ALL the fractions.
5/8(t) times 120 = 75t
2/15(t) times 120 = 16t
17/20 times 120 = 102
We now have a linear (not fractional) equation:
75t + 16t = 102
Combine like terms on the left side of the equation.
Doing so, we get this:
91t = 102
To find t, divide BOTH sides of the equation by 91 (our coefficient).
t = 102/91
Done!
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