0

0.25 r – 0.125 + 0.5 r = 0.5 + r

• 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

• 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

• 0.75r-r=0.5+0.125

-0.25r=0.625

r=0.625/-0.25=-5/2

Source(s): experience

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