Solve -50/7+53/14*26-17

$$- \frac { 50 } { 7 } + \frac { 53 } { 14 } \times 26 - 17$$

Evaluate

$$\frac{520}{7}\approx 74.285714286$$

Solution Steps

Express \frac{53}{14}\times 26 as a single fraction.

$$-\frac{50}{7}+\frac{53\times 26}{14}-17$$

Multiply 53 and 26 to get 1378.

$$-\frac{50}{7}+\frac{1378}{14}-17$$

Reduce the fraction \frac{1378}{14} to lowest terms by extracting and canceling out 2.

$$-\frac{50}{7}+\frac{689}{7}-17$$

Since -\frac{50}{7} and \frac{689}{7} have the same denominator, add them by adding their numerators.

$$\frac{-50+689}{7}-17$$

Add -50 and 689 to get 639.

$$\frac{639}{7}-17$$

Convert 17 to fraction \frac{119}{7}.

$$\frac{639}{7}-\frac{119}{7}$$

Since \frac{639}{7} and \frac{119}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{639-119}{7}$$

Subtract 119 from 639 to get 520.

$$\frac{520}{7}$$

Factor

$$\frac{2 ^ {3} \cdot 5 \cdot 13}{7} = 74\frac{2}{7} = 74.28571428571429$$