Solve (31/66+110/33)*1,32-8/13*0,162,5

$$( \frac { 31 } { 66 } + 1 \frac { 10 } { 33 } ) \cdot 1,32 - \frac { 8 } { 13 } \cdot 0,162,5$$

Sort

$$\frac{39}{22},5,32,162$$

Solution Steps

Multiply 1 and 33 to get 33.

$$sort(\left(\frac{31}{66}+\frac{33+10}{33}\right)\times 1,32-\frac{8}{13}\times 0,162,5)$$

Add 33 and 10 to get 43.

$$sort(\left(\frac{31}{66}+\frac{43}{33}\right)\times 1,32-\frac{8}{13}\times 0,162,5)$$

Least common multiple of 66 and 33 is 66. Convert \frac{31}{66} and \frac{43}{33} to fractions with denominator 66.

$$sort(\left(\frac{31}{66}+\frac{86}{66}\right)\times 1,32-\frac{8}{13}\times 0,162,5)$$

Since \frac{31}{66} and \frac{86}{66} have the same denominator, add them by adding their numerators.

$$sort(\frac{31+86}{66}\times 1,32-\frac{8}{13}\times 0,162,5)$$

Add 31 and 86 to get 117.

$$sort(\frac{117}{66}\times 1,32-\frac{8}{13}\times 0,162,5)$$

Reduce the fraction \frac{117}{66} to lowest terms by extracting and canceling out 3.

$$sort(\frac{39}{22}\times 1,32-\frac{8}{13}\times 0,162,5)$$

Multiply \frac{39}{22} and 1 to get \frac{39}{22}.

$$sort(\frac{39}{22},32-\frac{8}{13}\times 0,162,5)$$

Multiply \frac{8}{13} and 0 to get 0.

$$sort(\frac{39}{22},32-0,162,5)$$

Subtract 0 from 32 to get 32.

$$sort(\frac{39}{22},32,162,5)$$

Convert decimal numbers in the list \frac{39}{22},32,162,5 to fractions.

$$\frac{39}{22},32,162,5$$

To sort the list, start from a single element \frac{39}{22}.

$$\frac{39}{22}$$

Insert 32 to the appropriate location in the new list.

$$\frac{39}{22},32$$

Insert 162 to the appropriate location in the new list.

$$\frac{39}{22},32,162$$

Insert 5 to the appropriate location in the new list.

$$\frac{39}{22},5,32,162$$

Evaluate

$$\frac{39}{22},32,162,5$$