Solve {c}{300+473*471div34}{1539*3/4+1}

$$\left. \begin{array} { c } { 300 + 473 \times 471 \div 34 } \\ { 1539 \times \frac { 3 } { 4 } + 1 } \end{array} \right.$$

Sort

$$\frac{4621}{4},\frac{232983}{34}$$

Solution Steps

Multiply 473 and 471 to get 222783.

$$sort(300+\frac{222783}{34},1539\times \frac{3}{4}+1)$$

Convert 300 to fraction \frac{10200}{34}.

$$sort(\frac{10200}{34}+\frac{222783}{34},1539\times \frac{3}{4}+1)$$

Since \frac{10200}{34} and \frac{222783}{34} have the same denominator, add them by adding their numerators.

$$sort(\frac{10200+222783}{34},1539\times \frac{3}{4}+1)$$

Add 10200 and 222783 to get 232983.

$$sort(\frac{232983}{34},1539\times \frac{3}{4}+1)$$

Express 1539\times \frac{3}{4} as a single fraction.

$$sort(\frac{232983}{34},\frac{1539\times 3}{4}+1)$$

Multiply 1539 and 3 to get 4617.

$$sort(\frac{232983}{34},\frac{4617}{4}+1)$$

Convert 1 to fraction \frac{4}{4}.

$$sort(\frac{232983}{34},\frac{4617}{4}+\frac{4}{4})$$

Since \frac{4617}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

$$sort(\frac{232983}{34},\frac{4617+4}{4})$$

Add 4617 and 4 to get 4621.

$$sort(\frac{232983}{34},\frac{4621}{4})$$

Least common denominator of the numbers in the list \frac{232983}{34},\frac{4621}{4} is 68. Convert numbers in the list to fractions with denominator 68.

$$\frac{465966}{68},\frac{78557}{68}$$

To sort the list, start from a single element \frac{465966}{68}.

$$\frac{465966}{68}$$

Insert \frac{78557}{68} to the appropriate location in the new list.

$$\frac{78557}{68},\frac{465966}{68}$$

Replace the obtained fractions with the initial values.

$$\frac{4621}{4},\frac{232983}{34}$$

Evaluate

$$\frac{232983}{34},\ \frac{4621}{4}$$