Solve 100/50((17-14.5)11/3+22)

$$\frac{ 100 }{ 50 } ( \frac{ (17-14.5)11 }{ 3 } +22)$$

Evaluate

$$\frac{187}{3}\approx 62.333333333$$

Solution Steps

Divide 100 by 50 to get 2.

$$2\left(\frac{\left(17-14.5\right)\times 11}{3}+22\right)$$

Subtract 14.5 from 17 to get 2.5.

$$2\left(\frac{2.5\times 11}{3}+22\right)$$

Multiply 2.5 and 11 to get 27.5.

$$2\left(\frac{27.5}{3}+22\right)$$

Expand \frac{27.5}{3} by multiplying both numerator and the denominator by 10.

$$2\left(\frac{275}{30}+22\right)$$

Reduce the fraction \frac{275}{30} to lowest terms by extracting and canceling out 5.

$$2\left(\frac{55}{6}+22\right)$$

Convert 22 to fraction \frac{132}{6}.

$$2\left(\frac{55}{6}+\frac{132}{6}\right)$$

Since \frac{55}{6} and \frac{132}{6} have the same denominator, add them by adding their numerators.

$$2\times \frac{55+132}{6}$$

Add 55 and 132 to get 187.

$$2\times \frac{187}{6}$$

Express 2\times \frac{187}{6} as a single fraction.

$$\frac{2\times 187}{6}$$

Multiply 2 and 187 to get 374.

$$\frac{374}{6}$$

Reduce the fraction \frac{374}{6} to lowest terms by extracting and canceling out 2.

$$\frac{187}{3}$$

Factor

$$\frac{11 \cdot 17}{3} = 62\frac{1}{3} = 62.333333333333336$$