Solve 80left(25*30-10*15right)/40*40*45*35=

$$\frac{ 80 \left( 25 \cdot 30-10 \cdot 15 \right) }{ 40 \cdot 40 \cdot 45 \cdot 35 } =$$

Evaluate

$$\frac{2}{105}\approx 0.019047619$$

Solution Steps

Cancel out 2\times 40 in both numerator and denominator.

$$\frac{25\times 30-10\times 15}{20\times 35\times 45}$$

Multiply 25 and 30 to get 750.

$$\frac{750-10\times 15}{20\times 35\times 45}$$

Multiply 10 and 15 to get 150.

$$\frac{750-150}{20\times 35\times 45}$$

Subtract 150 from 750 to get 600.

$$\frac{600}{20\times 35\times 45}$$

Multiply 20 and 35 to get 700.

$$\frac{600}{700\times 45}$$

Multiply 700 and 45 to get 31500.

$$\frac{600}{31500}$$

Reduce the fraction \frac{600}{31500} to lowest terms by extracting and canceling out 300.

$$\frac{2}{105}$$

Factor

$$\frac{2}{3 \cdot 5 \cdot 7} = 0.01904761904761905$$