Solve 90(10*55-10*15)^2/20*70*25*65

$$\frac { 90 ( 10 \times 55 - 10 \times 15 ) ^ { 2 } } { 20 \times 70 \times 25 \times 65 }$$

Evaluate

$$\frac{576}{91}\approx 6.32967033$$

Solution Steps

Cancel out 10 in both numerator and denominator.

$$\frac{9\left(10\times 55-10\times 15\right)^{2}}{2\times 25\times 65\times 70}$$

Multiply 10 and 55 to get 550.

$$\frac{9\left(550-10\times 15\right)^{2}}{2\times 25\times 65\times 70}$$

Multiply 10 and 15 to get 150.

$$\frac{9\left(550-150\right)^{2}}{2\times 25\times 65\times 70}$$

Subtract 150 from 550 to get 400.

$$\frac{9\times 400^{2}}{2\times 25\times 65\times 70}$$

Calculate 400 to the power of 2 and get 160000.

$$\frac{9\times 160000}{2\times 25\times 65\times 70}$$

Multiply 9 and 160000 to get 1440000.

$$\frac{1440000}{2\times 25\times 65\times 70}$$

Multiply 2 and 25 to get 50.

$$\frac{1440000}{50\times 65\times 70}$$

Multiply 50 and 65 to get 3250.

$$\frac{1440000}{3250\times 70}$$

Multiply 3250 and 70 to get 227500.

$$\frac{1440000}{227500}$$

Reduce the fraction \frac{1440000}{227500} to lowest terms by extracting and canceling out 2500.

$$\frac{576}{91}$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {2}}{7 \cdot 13} = 6\frac{30}{91} = 6.329670329670329$$