Solve 20+(27*5-17/14)*10

$$20 + ( \frac { 27 \cdot 5 - 17 } { 14 } ) \times 10$$

Evaluate

$$\frac{730}{7}\approx 104.285714286$$

Solution Steps

Multiply 27 and 5 to get 135.

$$20+\frac{135-17}{14}\times 10$$

Subtract 17 from 135 to get 118.

$$20+\frac{118}{14}\times 10$$

Reduce the fraction \frac{118}{14} to lowest terms by extracting and canceling out 2.

$$20+\frac{59}{7}\times 10$$

Express \frac{59}{7}\times 10 as a single fraction.

$$20+\frac{59\times 10}{7}$$

Multiply 59 and 10 to get 590.

$$20+\frac{590}{7}$$

Convert 20 to fraction \frac{140}{7}.

$$\frac{140}{7}+\frac{590}{7}$$

Since \frac{140}{7} and \frac{590}{7} have the same denominator, add them by adding their numerators.

$$\frac{140+590}{7}$$

Add 140 and 590 to get 730.

$$\frac{730}{7}$$

Factor

$$\frac{2 \cdot 5 \cdot 73}{7} = 104\frac{2}{7} = 104.28571428571429$$