What is the simplified form of 4x plus 2 over x plus 5 minus the fraction 3x minus 1 over x plus 5?
The two fractions are known as like fractions if their denominators are equal.
Answer: (x + 3) / (x + 5)
To subtract the like fractions we need to subtract the numerator of the fractions and the denominator of the resultant is the same as the denominator of each of the like fractions.
The statement 4x plus 2 over x plus 5 can be written as: (4x + 2) / (x + 5)
The statement 3x minus 1 over x plus 5 can be written as: (3x - 1) / (x + 5)
The simplified form of subtraction of the two fractions is calculates as:
[(4x + 2) / (x + 5)] - [(3x - 1) / (x + 5)] = ((4x + 2) - (3x - 1)) / (x + 5)
= (4x + 2 - 3x + 1) / (x + 5)
= (x + 3) / (x + 5)