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

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

Evaluate

$$\frac{24}{37}\approx 0.648648649$$

Solution Steps

Divide 5 by 5 to get 1.

$$\frac{1}{\frac{2}{3}+\frac{7}{8}}$$

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

$$\frac{1}{\frac{16}{24}+\frac{21}{24}}$$

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

$$\frac{1}{\frac{16+21}{24}}$$

Add 16 and 21 to get 37.

$$\frac{1}{\frac{37}{24}}$$

Divide 1 by \frac{37}{24} by multiplying 1 by the reciprocal of \frac{37}{24}.

$$1\times \frac{24}{37}$$

Multiply 1 and \frac{24}{37} to get \frac{24}{37}.

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

Factor

$$\frac{2 ^ {3} \cdot 3}{37} = 0.6486486486486487$$