Solve 36div(7/9+2/3)

$$36 \div ( \frac { 7 } { 9 } + \frac { 2 } { 3 } )$$

Evaluate

$$\frac{324}{13}\approx 24.923076923$$

Solution Steps

Least common multiple of 9 and 3 is 9. Convert \frac{7}{9} and \frac{2}{3} to fractions with denominator 9.

$$\frac{36}{\frac{7}{9}+\frac{6}{9}}$$

Since \frac{7}{9} and \frac{6}{9} have the same denominator, add them by adding their numerators.

$$\frac{36}{\frac{7+6}{9}}$$

Add 7 and 6 to get 13.

$$\frac{36}{\frac{13}{9}}$$

Divide 36 by \frac{13}{9} by multiplying 36 by the reciprocal of \frac{13}{9}.

$$36\times \frac{9}{13}$$

Express 36\times \frac{9}{13} as a single fraction.

$$\frac{36\times 9}{13}$$

Multiply 36 and 9 to get 324.

$$\frac{324}{13}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {4}}{13} = 24\frac{12}{13} = 24.923076923076923$$