Solve 139*91/5+39*(-91/5)

$$139 \times 9 \frac { 1 } { 5 } + 39 \times ( - 9 \frac { 1 } { 5 } )$$

Evaluate

$$920$$

Solution Steps

Multiply 9 and 5 to get 45.

$$139\times \frac{45+1}{5}+39\left(-\frac{9\times 5+1}{5}\right)$$

Add 45 and 1 to get 46.

$$139\times \frac{46}{5}+39\left(-\frac{9\times 5+1}{5}\right)$$

Express 139\times \frac{46}{5} as a single fraction.

$$\frac{139\times 46}{5}+39\left(-\frac{9\times 5+1}{5}\right)$$

Multiply 139 and 46 to get 6394.

$$\frac{6394}{5}+39\left(-\frac{9\times 5+1}{5}\right)$$

Multiply 9 and 5 to get 45.

$$\frac{6394}{5}+39\left(-\frac{45+1}{5}\right)$$

Add 45 and 1 to get 46.

$$\frac{6394}{5}+39\left(-\frac{46}{5}\right)$$

Express 39\left(-\frac{46}{5}\right) as a single fraction.

$$\frac{6394}{5}+\frac{39\left(-46\right)}{5}$$

Multiply 39 and -46 to get -1794.

$$\frac{6394}{5}+\frac{-1794}{5}$$

Fraction \frac{-1794}{5} can be rewritten as -\frac{1794}{5} by extracting the negative sign.

$$\frac{6394}{5}-\frac{1794}{5}$$

Since \frac{6394}{5} and \frac{1794}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6394-1794}{5}$$

Subtract 1794 from 6394 to get 4600.

$$\frac{4600}{5}$$

Divide 4600 by 5 to get 920.

$$920$$

Factor

$$2^{3}\times 5\times 23$$