Solve 17*90-45*30+17*6^2/90

$$17 \cdot 90 - \frac { 45 \cdot 30 + 17 \cdot 6 ^ { 2 } } { 90 }$$

Evaluate

$$\frac{7541}{5}=1508.2$$

Solution Steps

Multiply 17 and 90 to get 1530.

$$1530-\frac{45\times 30+17\times 6^{2}}{90}$$

Multiply 45 and 30 to get 1350.

$$1530-\frac{1350+17\times 6^{2}}{90}$$

Calculate 6 to the power of 2 and get 36.

$$1530-\frac{1350+17\times 36}{90}$$

Multiply 17 and 36 to get 612.

$$1530-\frac{1350+612}{90}$$

Add 1350 and 612 to get 1962.

$$1530-\frac{1962}{90}$$

Reduce the fraction \frac{1962}{90} to lowest terms by extracting and canceling out 18.

$$1530-\frac{109}{5}$$

Convert 1530 to fraction \frac{7650}{5}.

$$\frac{7650}{5}-\frac{109}{5}$$

Since \frac{7650}{5} and \frac{109}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7650-109}{5}$$

Subtract 109 from 7650 to get 7541.

$$\frac{7541}{5}$$

Factor

$$\frac{7541}{5} = 1508\frac{1}{5} = 1508.2$$