Solve 713/20,8.629,77/10,7.66

$$7 \frac { 13 } { 20 } , 8.629 , \frac { 77 } { 10 } , 7.66$$

Sort

$$7.65,7.66,7.7,8.629$$

Solution Steps

Multiply 7 and 20 to get 140.

$$sort(\frac{140+13}{20},8.629,\frac{77}{10},7.66)$$

Add 140 and 13 to get 153.

$$sort(\frac{153}{20},8.629,\frac{77}{10},7.66)$$

Convert decimal numbers in the list \frac{153}{20},8.629,\frac{77}{10},7.66 to fractions.

$$\frac{153}{20},\frac{8629}{1000},\frac{77}{10},\frac{383}{50}$$

Least common denominator of the numbers in the list \frac{153}{20},\frac{8629}{1000},\frac{77}{10},\frac{383}{50} is 1000. Convert numbers in the list to fractions with denominator 1000.

$$\frac{7650}{1000},\frac{8629}{1000},\frac{7700}{1000},\frac{7660}{1000}$$

To sort the list, start from a single element \frac{7650}{1000}.

$$\frac{7650}{1000}$$

Insert \frac{8629}{1000} to the appropriate location in the new list.

$$\frac{7650}{1000},\frac{8629}{1000}$$

Insert \frac{7700}{1000} to the appropriate location in the new list.

$$\frac{7650}{1000},\frac{7700}{1000},\frac{8629}{1000}$$

Insert \frac{7660}{1000} to the appropriate location in the new list.

$$\frac{7650}{1000},\frac{7660}{1000},\frac{7700}{1000},\frac{8629}{1000}$$

Replace the obtained fractions with the initial values.

$$\frac{153}{20},7.66,\frac{77}{10},8.629$$

Evaluate

$$7.65,8.629,7.7,7.66$$