SOLUTION: Solve for T this is a fraction, sorry it looks so funny but I wasn't sure how to make it look like a fraction. Can you show step by step please so we can understand the steps. The

Algebra ->  Algebra  -> Numeric Fractions Calculators, Lesson and Practice  -> Fraction to Decimal conversion -> SOLUTION: Solve for T this is a fraction, sorry it looks so funny but I wasn't sure how to make it look like a fraction. Can you show step by step please so we can understand the steps. The       Log On

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Question 159160: Solve for T this is a fraction, sorry it looks so funny but I wasn't sure how to make it look like a fraction. Can you show step by step please so we can understand the steps. The four is below the 7+3t and the 8 is below the -t and they are all fractions. It looks like a 48 when I preview it but they are seperate from each other. Thanks
7+3T = -t
____ ___
4 = 8

Answer by ankor@dixie-net.com(12700) About Me  (Show Source):
You can put this solution on YOUR website!
:
Assume the problem is:
%28%287%2B3t%29%29%2F4 = -t%2F8
Multiply both sides by 8:
8*(%28%287%2B3t%29%29%2F4) = 8*(-t%2F8)
Cancel the denominators and you have:
2(7+3t) = -t
:
14 + 6t = -t
:
6t + t = -14
:
7t = -14
t = %28-14%29%2F7
t = -2
;
:
Check solution in original equation:
%28%287%2B3%28-2%29%29%29%2F4 = -%28-2%29%2F8
%28%287-6%29%29%2F4 = %28%2B2%29%2F8; minus a minus is a plus
1%2F4 = 2%2F8;confirms our solution