Solve 1725+(99/4-22/17)6

$$1725+( \frac{ \frac{ 99 }{ 4 } -22 }{ 17 } )6$$

Evaluate

$$\frac{58683}{34}\approx 1725.970588235$$

Solution Steps

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

$$1725+\frac{\frac{99}{4}-\frac{88}{4}}{17}\times 6$$

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

$$1725+\frac{\frac{99-88}{4}}{17}\times 6$$

Subtract 88 from 99 to get 11.

$$1725+\frac{\frac{11}{4}}{17}\times 6$$

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

$$1725+\frac{11}{4\times 17}\times 6$$

Multiply 4 and 17 to get 68.

$$1725+\frac{11}{68}\times 6$$

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

$$1725+\frac{11\times 6}{68}$$

Multiply 11 and 6 to get 66.

$$1725+\frac{66}{68}$$

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

$$1725+\frac{33}{34}$$

Convert 1725 to fraction \frac{58650}{34}.

$$\frac{58650}{34}+\frac{33}{34}$$

Since \frac{58650}{34} and \frac{33}{34} have the same denominator, add them by adding their numerators.

$$\frac{58650+33}{34}$$

Add 58650 and 33 to get 58683.

$$\frac{58683}{34}$$

Factor

$$\frac{3 \cdot 31 \cdot 631}{2 \cdot 17} = 1725\frac{33}{34} = 1725.9705882352941$$