Solve (9*4-2*5):(2*4-30*0)

$$( 9 \cdot 4 - 2 \cdot 5 ) : ( 2 \cdot 4 - 30 \cdot 0 )$$

Evaluate

$$\frac{13}{4}=3.25$$

Solution Steps

Multiply 9 and 4 to get 36.

$$\frac{36-2\times 5}{2\times 4-30\times 0}$$

Multiply 2 and 5 to get 10.

$$\frac{36-10}{2\times 4-30\times 0}$$

Subtract 10 from 36 to get 26.

$$\frac{26}{2\times 4-30\times 0}$$

Multiply 2 and 4 to get 8.

$$\frac{26}{8-30\times 0}$$

Multiply 30 and 0 to get 0.

$$\frac{26}{8-0}$$

Subtract 0 from 8 to get 8.

$$\frac{26}{8}$$

Reduce the fraction \frac{26}{8} to lowest terms by extracting and canceling out 2.

$$\frac{13}{4}$$

Factor

$$\frac{13}{2 ^ {2}} = 3\frac{1}{4} = 3.25$$