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

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

Evaluate

$$\frac{40}{67}\approx 0.597014925$$

Solution Steps

Anything divided by one gives itself.

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

Convert 8 to fraction \frac{64}{8}.

$$\frac{5}{\frac{64}{8}+\frac{3}{8}}$$

Since \frac{64}{8} and \frac{3}{8} have the same denominator, add them by adding their numerators.

$$\frac{5}{\frac{64+3}{8}}$$

Add 64 and 3 to get 67.

$$\frac{5}{\frac{67}{8}}$$

Divide 5 by \frac{67}{8} by multiplying 5 by the reciprocal of \frac{67}{8}.

$$5\times \frac{8}{67}$$

Express 5\times \frac{8}{67} as a single fraction.

$$\frac{5\times 8}{67}$$

Multiply 5 and 8 to get 40.

$$\frac{40}{67}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{67} = 0.5970149253731343$$