Solve 59/11,5.761,5.77,23/4

$$5 \frac { 9 } { 11 } , 5.761,5.77 , \frac { 23 } { 4 }$$

Sort

$$5.75,5.761,5.77,\frac{64}{11}$$

Solution Steps

Multiply 5 and 11 to get 55.

$$sort(\frac{55+9}{11},5.761,5.77,\frac{23}{4})$$

Add 55 and 9 to get 64.

$$sort(\frac{64}{11},5.761,5.77,\frac{23}{4})$$

Convert decimal numbers in the list \frac{64}{11},5.761,5.77,\frac{23}{4} to fractions.

$$\frac{64}{11},\frac{5761}{1000},\frac{577}{100},\frac{23}{4}$$

Least common denominator of the numbers in the list \frac{64}{11},\frac{5761}{1000},\frac{577}{100},\frac{23}{4} is 11000. Convert numbers in the list to fractions with denominator 11000.

$$\frac{64000}{11000},\frac{63371}{11000},\frac{63470}{11000},\frac{63250}{11000}$$

To sort the list, start from a single element \frac{64000}{11000}.

$$\frac{64000}{11000}$$

Insert \frac{63371}{11000} to the appropriate location in the new list.

$$\frac{63371}{11000},\frac{64000}{11000}$$

Insert \frac{63470}{11000} to the appropriate location in the new list.

$$\frac{63371}{11000},\frac{63470}{11000},\frac{64000}{11000}$$

Insert \frac{63250}{11000} to the appropriate location in the new list.

$$\frac{63250}{11000},\frac{63371}{11000},\frac{63470}{11000},\frac{64000}{11000}$$

Replace the obtained fractions with the initial values.

$$\frac{23}{4},5.761,5.77,\frac{64}{11}$$

Evaluate

$$\frac{64}{11},5.761,5.77,5.75$$