Solve =55+20-16/2*20-16-18(65-55)

$$= 55 + \frac { 20 - 16 } { 2 \times 20 - 16 - 18 } ( 65 - 55 )$$

Evaluate

$$\frac{185}{3}\approx 61.666666667$$

Solution Steps

Subtract 16 from 20 to get 4.

$$55+\frac{4}{2\times 20-16-18}\left(65-55\right)$$

Multiply 2 and 20 to get 40.

$$55+\frac{4}{40-16-18}\left(65-55\right)$$

Subtract 16 from 40 to get 24.

$$55+\frac{4}{24-18}\left(65-55\right)$$

Subtract 18 from 24 to get 6.

$$55+\frac{4}{6}\left(65-55\right)$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$55+\frac{2}{3}\left(65-55\right)$$

Subtract 55 from 65 to get 10.

$$55+\frac{2}{3}\times 10$$

Express \frac{2}{3}\times 10 as a single fraction.

$$55+\frac{2\times 10}{3}$$

Multiply 2 and 10 to get 20.

$$55+\frac{20}{3}$$

Convert 55 to fraction \frac{165}{3}.

$$\frac{165}{3}+\frac{20}{3}$$

Since \frac{165}{3} and \frac{20}{3} have the same denominator, add them by adding their numerators.

$$\frac{165+20}{3}$$

Add 165 and 20 to get 185.

$$\frac{185}{3}$$

Factor

$$\frac{5 \cdot 37}{3} = 61\frac{2}{3} = 61.666666666666664$$