Solve 110left(20*48-30*12right)^2/78*60*50*32

$$\frac{ 110 { \left(20 \times 48-30 \times 12 \right) }^{ 2 } }{ 78 \times 60 \times 50 \times 32 }$$

Evaluate

$$\frac{275}{52}\approx 5.288461538$$

Solution Steps

Cancel out 2\times 5 in both numerator and denominator.

$$\frac{11\left(20\times 48-12\times 30\right)^{2}}{12\times 32\times 39\times 50}$$

Multiply 20 and 48 to get 960.

$$\frac{11\left(960-12\times 30\right)^{2}}{12\times 32\times 39\times 50}$$

Multiply 12 and 30 to get 360.

$$\frac{11\left(960-360\right)^{2}}{12\times 32\times 39\times 50}$$

Subtract 360 from 960 to get 600.

$$\frac{11\times 600^{2}}{12\times 32\times 39\times 50}$$

Calculate 600 to the power of 2 and get 360000.

$$\frac{11\times 360000}{12\times 32\times 39\times 50}$$

Multiply 11 and 360000 to get 3960000.

$$\frac{3960000}{12\times 32\times 39\times 50}$$

Multiply 12 and 32 to get 384.

$$\frac{3960000}{384\times 39\times 50}$$

Multiply 384 and 39 to get 14976.

$$\frac{3960000}{14976\times 50}$$

Multiply 14976 and 50 to get 748800.

$$\frac{3960000}{748800}$$

Reduce the fraction \frac{3960000}{748800} to lowest terms by extracting and canceling out 14400.

$$\frac{275}{52}$$

Factor

$$\frac{5 ^ {2} \cdot 11}{2 ^ {2} \cdot 13} = 5\frac{15}{52} = 5.288461538461538$$