Solve {l}{3.5*2.2-2.6}{7.8-10.5div2.5}{4.2+4.8*3.5}

$$\left. \begin{array} { l } { 3.5 \times 2.2 - 2.6 } \\ { 7.8 - 10.5 \div 2.5 } \\ { 4.2 + 4.8 \times 3.5 } \end{array} \right.$$

Sort

$$3.6,5.1,21$$

Solution Steps

Multiply 3.5 and 2.2 to get 7.7.

$$sort(7.7-2.6,7.8-\frac{10.5}{2.5},4.2+4.8\times 3.5)$$

Subtract 2.6 from 7.7 to get 5.1.

$$sort(5.1,7.8-\frac{10.5}{2.5},4.2+4.8\times 3.5)$$

Expand \frac{10.5}{2.5} by multiplying both numerator and the denominator by 10.

$$sort(5.1,7.8-\frac{105}{25},4.2+4.8\times 3.5)$$

Reduce the fraction \frac{105}{25} to lowest terms by extracting and canceling out 5.

$$sort(5.1,7.8-\frac{21}{5},4.2+4.8\times 3.5)$$

Convert decimal number 7.8 to fraction \frac{78}{10}. Reduce the fraction \frac{78}{10} to lowest terms by extracting and canceling out 2.

$$sort(5.1,\frac{39}{5}-\frac{21}{5},4.2+4.8\times 3.5)$$

Since \frac{39}{5} and \frac{21}{5} have the same denominator, subtract them by subtracting their numerators.

$$sort(5.1,\frac{39-21}{5},4.2+4.8\times 3.5)$$

Subtract 21 from 39 to get 18.

$$sort(5.1,\frac{18}{5},4.2+4.8\times 3.5)$$

Multiply 4.8 and 3.5 to get 16.8.

$$sort(5.1,\frac{18}{5},4.2+16.8)$$

Add 4.2 and 16.8 to get 21.

$$sort(5.1,\frac{18}{5},21)$$

Convert decimal numbers in the list 5.1,\frac{18}{5},21 to fractions.

$$\frac{51}{10},\frac{18}{5},21$$

Least common denominator of the numbers in the list \frac{51}{10},\frac{18}{5},21 is 10. Convert numbers in the list to fractions with denominator 10.

$$\frac{51}{10},\frac{36}{10},\frac{210}{10}$$

To sort the list, start from a single element \frac{51}{10}.

$$\frac{51}{10}$$

Insert \frac{36}{10} to the appropriate location in the new list.

$$\frac{36}{10},\frac{51}{10}$$

Insert \frac{210}{10} to the appropriate location in the new list.

$$\frac{36}{10},\frac{51}{10},\frac{210}{10}$$

Replace the obtained fractions with the initial values.

$$\frac{18}{5},5.1,21$$

Evaluate

$$5.1,\ 3.6,\ 21$$