Find the least common denominator for the equation. $$\frac { 1 } { x } = \frac { 1 } { 8 } - \frac { 1 } { 8 x }$$
A) $24 x$
B) $8 x ^ { 2 }$
C) 24
D) 8
E) $8 x$

Question

Quizplus · Accepted Answer

The least common denominator (LCD) for the fractions $\frac{1}{x}$, $\frac{1}{8}$, and $\frac{1}{8x}$ is the smallest expression that all denominators divide into. The denominators are $x$, $8$, and $8x$. The LCD is $8x$ because it is the smallest expression that includes all factors from the denominators.

Find the Least Common Denominator for the Equation 1x=18−18x\frac { 1 } { x } = \frac { 1 } { 8 } - \frac { 1 } { 8 x }x1​=81​−8x1​

Find the Least Common Denominator for the Equation $\frac { 1 } { x } = \frac { 1 } { 8 } - \frac { 1 } { 8 x }$