Solve 34/5,81/2,51/4

$$3 \frac { 4 } { 5 } , 8 \frac { 1 } { 2 } , 5 \frac { 1 } { 4 }$$

Sort

$$\frac{19}{5},\frac{21}{4},\frac{17}{2}$$

Solution Steps

Multiply 3 and 5 to get 15.

$$sort(\frac{15+4}{5},\frac{8\times 2+1}{2},\frac{5\times 4+1}{4})$$

Add 15 and 4 to get 19.

$$sort(\frac{19}{5},\frac{8\times 2+1}{2},\frac{5\times 4+1}{4})$$

Multiply 8 and 2 to get 16.

$$sort(\frac{19}{5},\frac{16+1}{2},\frac{5\times 4+1}{4})$$

Add 16 and 1 to get 17.

$$sort(\frac{19}{5},\frac{17}{2},\frac{5\times 4+1}{4})$$

Multiply 5 and 4 to get 20.

$$sort(\frac{19}{5},\frac{17}{2},\frac{20+1}{4})$$

Add 20 and 1 to get 21.

$$sort(\frac{19}{5},\frac{17}{2},\frac{21}{4})$$

Least common denominator of the numbers in the list \frac{19}{5},\frac{17}{2},\frac{21}{4} is 20. Convert numbers in the list to fractions with denominator 20.

$$\frac{76}{20},\frac{170}{20},\frac{105}{20}$$

To sort the list, start from a single element \frac{76}{20}.

$$\frac{76}{20}$$

Insert \frac{170}{20} to the appropriate location in the new list.

$$\frac{76}{20},\frac{170}{20}$$

Insert \frac{105}{20} to the appropriate location in the new list.

$$\frac{76}{20},\frac{105}{20},\frac{170}{20}$$

Replace the obtained fractions with the initial values.

$$\frac{19}{5},\frac{21}{4},\frac{17}{2}$$

Evaluate

$$\frac{19}{5},\frac{17}{2},\frac{21}{4}$$