Solve 58/9div33/5

$$5 \frac { 8 } { 9 } \div 3 \frac { 3 } { 5 }$$

Evaluate

$$\frac{265}{162}\approx 1.635802469$$

Solution Steps

Divide \frac{5\times 9+8}{9} by \frac{3\times 5+3}{5} by multiplying \frac{5\times 9+8}{9} by the reciprocal of \frac{3\times 5+3}{5}.

$$\frac{\left(5\times 9+8\right)\times 5}{9\left(3\times 5+3\right)}$$

Multiply 5 and 9 to get 45.

$$\frac{\left(45+8\right)\times 5}{9\left(3\times 5+3\right)}$$

Add 45 and 8 to get 53.

$$\frac{53\times 5}{9\left(3\times 5+3\right)}$$

Multiply 53 and 5 to get 265.

$$\frac{265}{9\left(3\times 5+3\right)}$$

Multiply 3 and 5 to get 15.

$$\frac{265}{9\left(15+3\right)}$$

Add 15 and 3 to get 18.

$$\frac{265}{9\times 18}$$

Multiply 9 and 18 to get 162.

$$\frac{265}{162}$$

Factor

$$\frac{5 \cdot 53}{2 \cdot 3 ^ {4}} = 1\frac{103}{162} = 1.6358024691358024$$