Solve 718-(-1/14*(-3/5)-51)

$$718 - ( - 1 / 14 \times ( - 3 / 5 ) - 51 )$$

Evaluate

$$\frac{53827}{70}\approx 768.957142857$$

Solution Steps

Multiply -\frac{1}{14} times -\frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$718-\left(\frac{-\left(-3\right)}{14\times 5}-51\right)$$

Do the multiplications in the fraction \frac{-\left(-3\right)}{14\times 5}.

$$718-\left(\frac{3}{70}-51\right)$$

Convert 51 to fraction \frac{3570}{70}.

$$718-\left(\frac{3}{70}-\frac{3570}{70}\right)$$

Since \frac{3}{70} and \frac{3570}{70} have the same denominator, subtract them by subtracting their numerators.

$$718-\frac{3-3570}{70}$$

Subtract 3570 from 3 to get -3567.

$$718-\left(-\frac{3567}{70}\right)$$

The opposite of -\frac{3567}{70} is \frac{3567}{70}.

$$718+\frac{3567}{70}$$

Convert 718 to fraction \frac{50260}{70}.

$$\frac{50260}{70}+\frac{3567}{70}$$

Since \frac{50260}{70} and \frac{3567}{70} have the same denominator, add them by adding their numerators.

$$\frac{50260+3567}{70}$$

Add 50260 and 3567 to get 53827.

$$\frac{53827}{70}$$

Factor

$$\frac{19 \cdot 2833}{2 \cdot 5 \cdot 7} = 768\frac{67}{70} = 768.9571428571429$$