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Work Shown:
(1/2)*t+3/8
(1/2)*(1/4)+3/8 ... replace t with 1/4
1/8+3/8
(1+3)/8
4/8
(1*4)/(2*4)
1/2
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Here is an alternative method to show your work:
t = 1/4
(1/2)*t = (1/2)*(1/4) ... multiply both sides by 1/2
(1/2)*t = 1/8
(1/2)*t+3/8 = 1/8+3/8 ... add 3/8 to both sides
(1/2)*t+3/8 = (1+3)/8
(1/2)*t+3/8 = 4/8
(1/2)*t+3/8 = (1*4)/(2*4)
(1/2)*t+3/8 = 1/2
The equation shown above is only true when t = 1/4
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Yet another alternative method:
1/2 = 0.5
3/8 = 0.375
The expression (1/2)t+3/8 is the same as 0.5t+0.375
Plug in t = 1/4 = 0.25 and simplify. Then convert to a fraction
0.5*0.25+0.375 = 0.5 = 1/2
Which ever method you pick, the answer is still the same at 1/2.
