Solve 172.5+(99/4-22/17)6

$$172.5+( \frac{ \frac{ 99 }{ 4 } -22 }{ 17 } )6$$

Evaluate

$$\frac{2949}{17}\approx 173.470588235$$

Solution Steps

Convert 22 to fraction \frac{88}{4}.

$$172.5+\frac{\frac{99}{4}-\frac{88}{4}}{17}\times 6$$

Since \frac{99}{4} and \frac{88}{4} have the same denominator, subtract them by subtracting their numerators.

$$172.5+\frac{\frac{99-88}{4}}{17}\times 6$$

Subtract 88 from 99 to get 11.

$$172.5+\frac{\frac{11}{4}}{17}\times 6$$

Express \frac{\frac{11}{4}}{17} as a single fraction.

$$172.5+\frac{11}{4\times 17}\times 6$$

Multiply 4 and 17 to get 68.

$$172.5+\frac{11}{68}\times 6$$

Express \frac{11}{68}\times 6 as a single fraction.

$$172.5+\frac{11\times 6}{68}$$

Multiply 11 and 6 to get 66.

$$172.5+\frac{66}{68}$$

Reduce the fraction \frac{66}{68} to lowest terms by extracting and canceling out 2.

$$172.5+\frac{33}{34}$$

Convert decimal number 172.5 to fraction \frac{1725}{10}. Reduce the fraction \frac{1725}{10} to lowest terms by extracting and canceling out 5.

$$\frac{345}{2}+\frac{33}{34}$$

Least common multiple of 2 and 34 is 34. Convert \frac{345}{2} and \frac{33}{34} to fractions with denominator 34.

$$\frac{5865}{34}+\frac{33}{34}$$

Since \frac{5865}{34} and \frac{33}{34} have the same denominator, add them by adding their numerators.

$$\frac{5865+33}{34}$$

Add 5865 and 33 to get 5898.

$$\frac{5898}{34}$$

Reduce the fraction \frac{5898}{34} to lowest terms by extracting and canceling out 2.

$$\frac{2949}{17}$$

Factor

$$\frac{3 \cdot 983}{17} = 173\frac{8}{17} = 173.47058823529412$$