Solve 110(12*30-48*2/60*30*32*78

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

Evaluate

$$\frac{121}{18720}\approx 0.006463675$$

Solution Steps

Cancel out 10 in both numerator and denominator.

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

Multiply 12 and 30 to get 360.

$$\frac{11\left(360-2\times 48\right)}{6\times 30\times 32\times 78}$$

Multiply 2 and 48 to get 96.

$$\frac{11\left(360-96\right)}{6\times 30\times 32\times 78}$$

Subtract 96 from 360 to get 264.

$$\frac{11\times 264}{6\times 30\times 32\times 78}$$

Multiply 11 and 264 to get 2904.

$$\frac{2904}{6\times 30\times 32\times 78}$$

Multiply 6 and 30 to get 180.

$$\frac{2904}{180\times 32\times 78}$$

Multiply 180 and 32 to get 5760.

$$\frac{2904}{5760\times 78}$$

Multiply 5760 and 78 to get 449280.

$$\frac{2904}{449280}$$

Reduce the fraction \frac{2904}{449280} to lowest terms by extracting and canceling out 24.

$$\frac{121}{18720}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {5} \cdot 3 ^ {2} \cdot 5 \cdot 13} = 0.006463675213675213$$