Question

dc college algebra - 5th period
quiz: daily grade redo 1st nine weeks
22 of 40
this quiz: 40 point(s) possible
this question: 1 point(s) possible
question list
perform the subtraction.
\\(\frac{5}{8x^{2}y}-\frac{12}{4xy}\\)
\\(\frac{5}{8x^{2}y}-\frac{12}{4xy}=\square\\) (simplify your answer.)

Explanation:

Step1: Find common denominator

The common - denominator of $8x^{2}y$ and $4xy$ is $8x^{2}y$.

Step2: Rewrite the fractions

Rewrite $\frac{12}{4xy}$ with the common denominator. $\frac{12}{4xy}=\frac{12\times2x}{4xy\times2x}=\frac{24x}{8x^{2}y}$.

Step3: Subtract the fractions

$\frac{5}{8x^{2}y}-\frac{24x}{8x^{2}y}=\frac{5 - 24x}{8x^{2}y}$.

Answer:

$\frac{5 - 24x}{8x^{2}y}$