Solve 572/16+653/5+3023/20+85/2

$$\frac { 572 } { 16 } + \frac { 653 } { 5 } + \frac { 3023 } { 20 } + \frac { 85 } { 2 }$$

Evaluate

$$360$$

Solution Steps

Reduce the fraction \frac{572}{16} to lowest terms by extracting and canceling out 4.

$$\frac{143}{4}+\frac{653}{5}+\frac{3023}{20}+\frac{85}{2}$$

Least common multiple of 4 and 5 is 20. Convert \frac{143}{4} and \frac{653}{5} to fractions with denominator 20.

$$\frac{715}{20}+\frac{2612}{20}+\frac{3023}{20}+\frac{85}{2}$$

Since \frac{715}{20} and \frac{2612}{20} have the same denominator, add them by adding their numerators.

$$\frac{715+2612}{20}+\frac{3023}{20}+\frac{85}{2}$$

Add 715 and 2612 to get 3327.

$$\frac{3327}{20}+\frac{3023}{20}+\frac{85}{2}$$

Since \frac{3327}{20} and \frac{3023}{20} have the same denominator, add them by adding their numerators.

$$\frac{3327+3023}{20}+\frac{85}{2}$$

Add 3327 and 3023 to get 6350.

$$\frac{6350}{20}+\frac{85}{2}$$

Reduce the fraction \frac{6350}{20} to lowest terms by extracting and canceling out 10.

$$\frac{635}{2}+\frac{85}{2}$$

Since \frac{635}{2} and \frac{85}{2} have the same denominator, add them by adding their numerators.

$$\frac{635+85}{2}$$

Add 635 and 85 to get 720.

$$\frac{720}{2}$$

Divide 720 by 2 to get 360.

$$360$$

Factor

$$2^{3}\times 3^{2}\times 5$$