Solve 2+4/5*6,24/27

$$2 + \frac { 4 } { 5 } \times 6 , \frac { 24 } { 27 }$$

Sort

$$\frac{8}{9},\frac{34}{5}$$

Solution Steps

Express \frac{4}{5}\times 6 as a single fraction.

$$sort(2+\frac{4\times 6}{5},\frac{24}{27})$$

Multiply 4 and 6 to get 24.

$$sort(2+\frac{24}{5},\frac{24}{27})$$

Convert 2 to fraction \frac{10}{5}.

$$sort(\frac{10}{5}+\frac{24}{5},\frac{24}{27})$$

Since \frac{10}{5} and \frac{24}{5} have the same denominator, add them by adding their numerators.

$$sort(\frac{10+24}{5},\frac{24}{27})$$

Add 10 and 24 to get 34.

$$sort(\frac{34}{5},\frac{24}{27})$$

Reduce the fraction \frac{24}{27} to lowest terms by extracting and canceling out 3.

$$sort(\frac{34}{5},\frac{8}{9})$$

Least common denominator of the numbers in the list \frac{34}{5},\frac{8}{9} is 45. Convert numbers in the list to fractions with denominator 45.

$$\frac{306}{45},\frac{40}{45}$$

To sort the list, start from a single element \frac{306}{45}.

$$\frac{306}{45}$$

Insert \frac{40}{45} to the appropriate location in the new list.

$$\frac{40}{45},\frac{306}{45}$$

Replace the obtained fractions with the initial values.

$$\frac{8}{9},\frac{34}{5}$$

Evaluate

$$\frac{34}{5},\frac{8}{9}$$