Solve 10*5/8/10+frac{5{8}}

$$\frac { 10 \times \frac { 5 } { 8 } } { 10 + \frac { 5 } { 8 } }$$

Evaluate

$$\frac{10}{17}\approx 0.588235294$$

Solution Steps

Express 10\times \frac{5}{8} as a single fraction.

$$\frac{\frac{10\times 5}{8}}{10+\frac{5}{8}}$$

Multiply 10 and 5 to get 50.

$$\frac{\frac{50}{8}}{10+\frac{5}{8}}$$

Reduce the fraction \frac{50}{8} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{25}{4}}{10+\frac{5}{8}}$$

Convert 10 to fraction \frac{80}{8}.

$$\frac{\frac{25}{4}}{\frac{80}{8}+\frac{5}{8}}$$

Since \frac{80}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{\frac{25}{4}}{\frac{80+5}{8}}$$

Add 80 and 5 to get 85.

$$\frac{\frac{25}{4}}{\frac{85}{8}}$$

Divide \frac{25}{4} by \frac{85}{8} by multiplying \frac{25}{4} by the reciprocal of \frac{85}{8}.

$$\frac{25}{4}\times \frac{8}{85}$$

Multiply \frac{25}{4} times \frac{8}{85} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 8}{4\times 85}$$

Do the multiplications in the fraction \frac{25\times 8}{4\times 85}.

$$\frac{200}{340}$$

Reduce the fraction \frac{200}{340} to lowest terms by extracting and canceling out 20.

$$\frac{10}{17}$$

Factor

$$\frac{2 \cdot 5}{17} = 0.5882352941176471$$