Solve (45/8):(91/5)

$$( 4 \frac { 5 } { 8 } ) : ( 9 \frac { 1 } { 5 } )$$

Evaluate

$$\frac{185}{368}\approx 0.502717391$$

Solution Steps

Divide \frac{4\times 8+5}{8} by \frac{9\times 5+1}{5} by multiplying \frac{4\times 8+5}{8} by the reciprocal of \frac{9\times 5+1}{5}.

$$\frac{\left(4\times 8+5\right)\times 5}{8\left(9\times 5+1\right)}$$

Multiply 4 and 8 to get 32.

$$\frac{\left(32+5\right)\times 5}{8\left(9\times 5+1\right)}$$

Add 32 and 5 to get 37.

$$\frac{37\times 5}{8\left(9\times 5+1\right)}$$

Multiply 37 and 5 to get 185.

$$\frac{185}{8\left(9\times 5+1\right)}$$

Multiply 9 and 5 to get 45.

$$\frac{185}{8\left(45+1\right)}$$

Add 45 and 1 to get 46.

$$\frac{185}{8\times 46}$$

Multiply 8 and 46 to get 368.

$$\frac{185}{368}$$

Factor

$$\frac{5 \cdot 37}{2 ^ {4} \cdot 23} = 0.5027173913043478$$