Solve the equation. $\frac { h } { 7 } + \frac { h } { 8 } = 1$
A) $h = \frac { 8 } { 15 }$
B) $h = \frac { 15 } { 56 }$
C) $h = \frac { 1 } { 15 }$
D) $h = \frac { 56 } { 15 }$
E)no solution

Question

Quizplus · Accepted Answer

To solve the equation, we first need to find a common denominator for the two fractions. The smallest common multiple of 7 and 8 is 56. Therefore, we can rewrite the equation as:

\begin{align*}
\frac{h}{7}+\frac{h}{8}&=1\
\frac{8h}{56}+\frac{7h}{56}&=1\
\frac{15h}{56}&=1\
15h&=56\
h&=\frac{56}{15}\
\end{align*}

Therefore, the answer is D.

Solve the Equation h7+h8=1\frac { h } { 7 } + \frac { h } { 8 } = 17h​+8h​=1

Solve the Equation $\frac { h } { 7 } + \frac { h } { 8 } = 1$