Solve 8+5/13*2div9=

$$8+ \frac{ 5 }{ 13 } \times 2 \div 9=$$

Evaluate

$$\frac{946}{117}\approx 8.085470085$$

Solution Steps

Express \frac{5}{13}\times 2 as a single fraction.

$$8+\frac{\frac{5\times 2}{13}}{9}$$

Multiply 5 and 2 to get 10.

$$8+\frac{\frac{10}{13}}{9}$$

Express \frac{\frac{10}{13}}{9} as a single fraction.

$$8+\frac{10}{13\times 9}$$

Multiply 13 and 9 to get 117.

$$8+\frac{10}{117}$$

Convert 8 to fraction \frac{936}{117}.

$$\frac{936}{117}+\frac{10}{117}$$

Since \frac{936}{117} and \frac{10}{117} have the same denominator, add them by adding their numerators.

$$\frac{936+10}{117}$$

Add 936 and 10 to get 946.

$$\frac{946}{117}$$

Factor

$$\frac{2 \cdot 11 \cdot 43}{3 ^ {2} \cdot 13} = 8\frac{10}{117} = 8.085470085470085$$