Solve 5*120^2/4*7936^2=

$$\frac { 5 \times 120 ^ { 2 } } { 4 \times 7936 ^ { 2 } } =$$

Evaluate

$$\frac{1125}{3936256}\approx 0.000285805$$

Solution Steps

Calculate 120 to the power of 2 and get 14400.

$$\frac{5\times 14400}{4\times 7936^{2}}$$

Multiply 5 and 14400 to get 72000.

$$\frac{72000}{4\times 7936^{2}}$$

Calculate 7936 to the power of 2 and get 62980096.

$$\frac{72000}{4\times 62980096}$$

Multiply 4 and 62980096 to get 251920384.

$$\frac{72000}{251920384}$$

Reduce the fraction \frac{72000}{251920384} to lowest terms by extracting and canceling out 64.

$$\frac{1125}{3936256}$$

Factor

$$\frac{3 ^ {2} \cdot 5 ^ {3}}{2 ^ {12} \cdot 31 ^ {2}} = 0.00028580458181581684$$