Solve 8/15+16/25,5/8

$$\frac { 8 } { 15 } + \frac { 16 } { 25 } , \frac { 5 } { 8 }$$

Sort

$$\frac{5}{8},\frac{88}{75}$$

Solution Steps

Least common multiple of 15 and 25 is 75. Convert \frac{8}{15} and \frac{16}{25} to fractions with denominator 75.

$$sort(\frac{40}{75}+\frac{48}{75},\frac{5}{8})$$

Since \frac{40}{75} and \frac{48}{75} have the same denominator, add them by adding their numerators.

$$sort(\frac{40+48}{75},\frac{5}{8})$$

Add 40 and 48 to get 88.

$$sort(\frac{88}{75},\frac{5}{8})$$

Least common denominator of the numbers in the list \frac{88}{75},\frac{5}{8} is 600. Convert numbers in the list to fractions with denominator 600.

$$\frac{704}{600},\frac{375}{600}$$

To sort the list, start from a single element \frac{704}{600}.

$$\frac{704}{600}$$

Insert \frac{375}{600} to the appropriate location in the new list.

$$\frac{375}{600},\frac{704}{600}$$

Replace the obtained fractions with the initial values.

$$\frac{5}{8},\frac{88}{75}$$

Evaluate

$$\frac{88}{75},\frac{5}{8}$$