What is the difference start fraction 5x minus 2 over 4x end fraction minus start fraction x minus 2 over 4x end fraction ?

A. 1
B. Start Fraction x minus 1 over x End Fraction
C. 0
D. The fraction states 3 over 4.

1 answer

The first step is to simplify both fractions by finding a common denominator of 4x:

Start fraction 5x - 2 over 4x end fraction = Start fraction 5x end fraction / (4x) - Start fraction 2 end fraction / (4x) = (5/4) - (1/2x)
Start fraction x - 2 over 4x end fraction = Start fraction x end fraction / (4x) - Start fraction 2 end fraction / (4x) = (1/4) - (1/2x)

Substituting these simplified fractions back into the original expression and simplifying:

Start fraction 5x - 2 over 4x end fraction - start fraction x - 2 over 4x end fraction = (5/4) - (1/2x) - (1/4) + (1/2x) = (4/4) = 1

Therefore, the answer is (A) 1.
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