Solve 70*85.4/300

$$70 \times \frac{ 85.4 }{ 300 }$$

Evaluate

$$\frac{2989}{150}\approx 19.926666667$$

Solution Steps

Expand \frac{85.4}{300} by multiplying both numerator and the denominator by 10.

$$70\times \frac{854}{3000}$$

Reduce the fraction \frac{854}{3000} to lowest terms by extracting and canceling out 2.

$$70\times \frac{427}{1500}$$

Express 70\times \frac{427}{1500} as a single fraction.

$$\frac{70\times 427}{1500}$$

Multiply 70 and 427 to get 29890.

$$\frac{29890}{1500}$$

Reduce the fraction \frac{29890}{1500} to lowest terms by extracting and canceling out 10.

$$\frac{2989}{150}$$

Factor

$$\frac{61 \cdot 7 ^ {2}}{2 \cdot 3 \cdot 5 ^ {2}} = 19\frac{139}{150} = 19.926666666666666$$