Solve 16*55*52+22-99/frac{52{}}

$$16 \times 55 \times 52+22- \frac{ 99 }{ \frac{ 52 }{ } }$$

Evaluate

$$\frac{2380565}{52}\approx 45780.096153846$$

Solution Steps

Multiply 16 and 55 to get 880.

$$880\times 52+22-\frac{99}{\frac{52}{1}}$$

Multiply 880 and 52 to get 45760.

$$45760+22-\frac{99}{\frac{52}{1}}$$

Add 45760 and 22 to get 45782.

$$45782-\frac{99}{\frac{52}{1}}$$

Divide 99 by \frac{52}{1} by multiplying 99 by the reciprocal of \frac{52}{1}.

$$45782-\frac{99}{52}$$

Convert 45782 to fraction \frac{2380664}{52}.

$$\frac{2380664}{52}-\frac{99}{52}$$

Since \frac{2380664}{52} and \frac{99}{52} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2380664-99}{52}$$

Subtract 99 from 2380664 to get 2380565.

$$\frac{2380565}{52}$$

Factor

$$\frac{5 \cdot 11 \cdot 43283}{2 ^ {2} \cdot 13} = 45780\frac{5}{52} = 45780.096153846156$$