Solve 38*96/360*(7*89)=

$$38 \times \frac { 96 } { 360 } \times ( 7 \times 89 ) =$$

Evaluate

$$\frac{94696}{15}\approx 6313.066666667$$

Solution Steps

Reduce the fraction \frac{96}{360} to lowest terms by extracting and canceling out 24.

$$38\times \frac{4}{15}\times 7\times 89$$

Express 38\times \frac{4}{15} as a single fraction.

$$\frac{38\times 4}{15}\times 7\times 89$$

Multiply 38 and 4 to get 152.

$$\frac{152}{15}\times 7\times 89$$

Express \frac{152}{15}\times 7 as a single fraction.

$$\frac{152\times 7}{15}\times 89$$

Multiply 152 and 7 to get 1064.

$$\frac{1064}{15}\times 89$$

Express \frac{1064}{15}\times 89 as a single fraction.

$$\frac{1064\times 89}{15}$$

Multiply 1064 and 89 to get 94696.

$$\frac{94696}{15}$$

Factor

$$\frac{2 ^ {3} \cdot 7 \cdot 19 \cdot 89}{3 \cdot 5} = 6313\frac{1}{15} = 6313.066666666667$$