Solve the equation. $$\frac { 9 n } { 10 } - \frac { n } { 12 } = \frac { - 392 } { 60 }$$
A)n = -8
B)n = -14
C)n = 8
D)n = 10
E)n = -11

Question

Quizplus · Accepted Answer

To solve the equation, first find a common denominator for the fractions, which is 60. Convert each fraction to have this common denominator: $$\frac{9n}{10} \times \frac{6}{6} = \frac{54n}{60}$$ $$\frac{n}{12} \times \frac{5}{5} = \frac{5n}{60}$$ The equation becomes: $$\frac{54n}{60} - \frac{5n}{60} = \frac{-392}{60}$$ Simplify the left side by combining like terms: $$\frac{49n}{60} = \frac{-392}{60}$$ Multiply both sides by 60 to get rid of the denominator: $$49n = -392$$ Divide both sides by 49 to solve for n: $$n = \frac{-392}{49} = -8$$

Solve the Equation 9n10−n12=−39260\frac { 9 n } { 10 } - \frac { n } { 12 } = \frac { - 392 } { 60 }109n​−12n​=60−392​

Solve the Equation $\frac { 9 n } { 10 } - \frac { n } { 12 } = \frac { - 392 } { 60 }$