Solve 100*22*625*10^-2/7*16

$$\frac { 100 \times 22 \times 625 \times 10 ^ { - 2 } } { 7 \times 16 }$$

Evaluate

$$\frac{6875}{56}\approx 122.767857143$$

Solution Steps

Cancel out 2\times 4 in both numerator and denominator.

$$\frac{11\times 25\times 625\times 10^{-2}}{2\times 7}$$

Multiply 11 and 25 to get 275.

$$\frac{275\times 625\times 10^{-2}}{2\times 7}$$

Multiply 275 and 625 to get 171875.

$$\frac{171875\times 10^{-2}}{2\times 7}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{171875\times \frac{1}{100}}{2\times 7}$$

Multiply 171875 and \frac{1}{100} to get \frac{6875}{4}.

$$\frac{\frac{6875}{4}}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$\frac{\frac{6875}{4}}{14}$$

Express \frac{\frac{6875}{4}}{14} as a single fraction.

$$\frac{6875}{4\times 14}$$

Multiply 4 and 14 to get 56.

$$\frac{6875}{56}$$

Factor

$$\frac{5 ^ {4} \cdot 11}{2 ^ {3} \cdot 7} = 122\frac{43}{56} = 122.76785714285714$$