Solve {l}{71/4*2^2+(81/2-2)div3}{0.311/6}

$$\left. \begin{array} { l } { 7 \frac { 1 } { 4 } \times 2 ^ { 2 } + ( 8 \frac { 1 } { 2 } - 2 ) \div 3 } \\ { 0.31 \frac { 1 } { 6 } } \end{array} \right.$$

Sort

$$\frac{143}{300},\frac{187}{6}$$

Solution Steps

Multiply 7 and 4 to get 28.

$$sort(\frac{28+1}{4}\times 2^{2}+\frac{\frac{8\times 2+1}{2}-2}{3},\frac{0.31\times 6+1}{6})$$

Add 28 and 1 to get 29.

$$sort(\frac{29}{4}\times 2^{2}+\frac{\frac{8\times 2+1}{2}-2}{3},\frac{0.31\times 6+1}{6})$$

Calculate 2 to the power of 2 and get 4.

$$sort(\frac{29}{4}\times 4+\frac{\frac{8\times 2+1}{2}-2}{3},\frac{0.31\times 6+1}{6})$$

Cancel out 4 and 4.

$$sort(29+\frac{\frac{8\times 2+1}{2}-2}{3},\frac{0.31\times 6+1}{6})$$

Multiply 8 and 2 to get 16.

$$sort(29+\frac{\frac{16+1}{2}-2}{3},\frac{0.31\times 6+1}{6})$$

Add 16 and 1 to get 17.

$$sort(29+\frac{\frac{17}{2}-2}{3},\frac{0.31\times 6+1}{6})$$

Convert 2 to fraction \frac{4}{2}.

$$sort(29+\frac{\frac{17}{2}-\frac{4}{2}}{3},\frac{0.31\times 6+1}{6})$$

Since \frac{17}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$sort(29+\frac{\frac{17-4}{2}}{3},\frac{0.31\times 6+1}{6})$$

Subtract 4 from 17 to get 13.

$$sort(29+\frac{\frac{13}{2}}{3},\frac{0.31\times 6+1}{6})$$

Express \frac{\frac{13}{2}}{3} as a single fraction.

$$sort(29+\frac{13}{2\times 3},\frac{0.31\times 6+1}{6})$$

Multiply 2 and 3 to get 6.

$$sort(29+\frac{13}{6},\frac{0.31\times 6+1}{6})$$

Convert 29 to fraction \frac{174}{6}.

$$sort(\frac{174}{6}+\frac{13}{6},\frac{0.31\times 6+1}{6})$$

Since \frac{174}{6} and \frac{13}{6} have the same denominator, add them by adding their numerators.

$$sort(\frac{174+13}{6},\frac{0.31\times 6+1}{6})$$

Add 174 and 13 to get 187.

$$sort(\frac{187}{6},\frac{0.31\times 6+1}{6})$$

Multiply 0.31 and 6 to get 1.86.

$$sort(\frac{187}{6},\frac{1.86+1}{6})$$

Add 1.86 and 1 to get 2.86.

$$sort(\frac{187}{6},\frac{2.86}{6})$$

Expand \frac{2.86}{6} by multiplying both numerator and the denominator by 100.

$$sort(\frac{187}{6},\frac{286}{600})$$

Reduce the fraction \frac{286}{600} to lowest terms by extracting and canceling out 2.

$$sort(\frac{187}{6},\frac{143}{300})$$

Least common denominator of the numbers in the list \frac{187}{6},\frac{143}{300} is 300. Convert numbers in the list to fractions with denominator 300.

$$\frac{9350}{300},\frac{143}{300}$$

To sort the list, start from a single element \frac{9350}{300}.

$$\frac{9350}{300}$$

Insert \frac{143}{300} to the appropriate location in the new list.

$$\frac{143}{300},\frac{9350}{300}$$

Replace the obtained fractions with the initial values.

$$\frac{143}{300},\frac{187}{6}$$

Evaluate

$$\frac{187}{6},\ \frac{143}{300}$$