Solve the equation please?
Could you help solve the following equation step by step?
0.25r - 0.125 + 0.5r = 0.5 + r
4 Answers
0.25 r – 0.125 + 0.5 r = 0.5 + r
r/4 – 1/8 + r/2 = 1/2 + r
0 = r/4 + 5/8
r/4 = -5/8
r = -5/2 = -2.5
You can do this equation using decimals or fractions; I’ll show you how to do it with decimals first.
0.25r – 0.125 + 0.5r = 0.5 + r ————> Combine like terms
0.75r – 0.125 = 0.5 + r ———–> Subtract r from both sides
-0.25r – 0.125 = 0.5 ————–> Add 0.125 to both sides
-0.25r = 0.625 ——————-> Divide -0.25r from both sides
r = -2.5
Here’s how to do it with fractions
0.25r – 0.125 + 0.5r = 0.5 + r ———-> Convert each decimal to a fraction
(1/4)r – (1/8) + (1/2)r = (1/2) + r ———-> Combine like terms
(3/4)r – (1/8) = (1/2) + r ———–> Subtract r from both sides
(-1/4)r – (1/8) = 1/2 ————> Add (1/8) to both sides
(-1/4)r = 5/8 —————-> Divide each side from (-1/4)
r = 5/2
So R = -2.5
Or R = 5/2
Jan 24, 2025
0.25 r – 0.125 + 0.5 r = 0.5 + r
Group like terms
0.25r + 0.5r – r = 0.5 + 0.125
-0.25r = 0.5 + 0.125
r = (0.625) / (-0.25) = -2.5
r = -2.5
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