Solve 100left(15*25-45*15right)^2/30*70*40*60

$$\frac{ 100 { \left( 15 \cdot 25-45 \cdot 15 \right) }^{ 2 } }{ 30 \cdot 70 \cdot 40 \cdot 60 }$$

Evaluate

$$\frac{25}{14}\approx 1.785714286$$

Solution Steps

Cancel out 10\times 10 in both numerator and denominator.

$$\frac{\left(15\times 25-15\times 45\right)^{2}}{3\times 7\times 40\times 60}$$

Multiply 15 and 25 to get 375.

$$\frac{\left(375-15\times 45\right)^{2}}{3\times 7\times 40\times 60}$$

Multiply 15 and 45 to get 675.

$$\frac{\left(375-675\right)^{2}}{3\times 7\times 40\times 60}$$

Subtract 675 from 375 to get -300.

$$\frac{\left(-300\right)^{2}}{3\times 7\times 40\times 60}$$

Calculate -300 to the power of 2 and get 90000.

$$\frac{90000}{3\times 7\times 40\times 60}$$

Multiply 3 and 7 to get 21.

$$\frac{90000}{21\times 40\times 60}$$

Multiply 21 and 40 to get 840.

$$\frac{90000}{840\times 60}$$

Multiply 840 and 60 to get 50400.

$$\frac{90000}{50400}$$

Reduce the fraction \frac{90000}{50400} to lowest terms by extracting and canceling out 3600.

$$\frac{25}{14}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 7} = 1\frac{11}{14} = 1.7857142857142858$$