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

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

Evaluate

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

Solution Steps

Cancel out 10 in both numerator and denominator.

$$\frac{11\left(20\times 48-12\times 30\right)^{2}}{6\times 32\times 50\times 78}$$

Multiply 20 and 48 to get 960.

$$\frac{11\left(960-12\times 30\right)^{2}}{6\times 32\times 50\times 78}$$

Multiply 12 and 30 to get 360.

$$\frac{11\left(960-360\right)^{2}}{6\times 32\times 50\times 78}$$

Subtract 360 from 960 to get 600.

$$\frac{11\times 600^{2}}{6\times 32\times 50\times 78}$$

Calculate 600 to the power of 2 and get 360000.

$$\frac{11\times 360000}{6\times 32\times 50\times 78}$$

Multiply 11 and 360000 to get 3960000.

$$\frac{3960000}{6\times 32\times 50\times 78}$$

Multiply 6 and 32 to get 192.

$$\frac{3960000}{192\times 50\times 78}$$

Multiply 192 and 50 to get 9600.

$$\frac{3960000}{9600\times 78}$$

Multiply 9600 and 78 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

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