Solve 5/frac{2{3}+7/8}

$$\frac { 5 } { \frac { 2 } { 3 } + \frac { 7 } { 8 } }$$

Evaluate

$$\frac{120}{37}\approx 3.243243243$$

Solution Steps

Least common multiple of 3 and 8 is 24. Convert \frac{2}{3} and \frac{7}{8} to fractions with denominator 24.

$$\frac{5}{\frac{16}{24}+\frac{21}{24}}$$

Since \frac{16}{24} and \frac{21}{24} have the same denominator, add them by adding their numerators.

$$\frac{5}{\frac{16+21}{24}}$$

Add 16 and 21 to get 37.

$$\frac{5}{\frac{37}{24}}$$

Divide 5 by \frac{37}{24} by multiplying 5 by the reciprocal of \frac{37}{24}.

$$5\times \frac{24}{37}$$

Express 5\times \frac{24}{37} as a single fraction.

$$\frac{5\times 24}{37}$$

Multiply 5 and 24 to get 120.

$$\frac{120}{37}$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 5}{37} = 3\frac{9}{37} = 3.2432432432432434$$