Solve {l}{2.9+1.2*0.5}{20.9-2.1div0.5*3.5}

$$\left. \begin{array} { l } { 2.9 + 1.2 \times 0.5 } \\ { 20.9 - 2.1 \div 0.5 \times 3.5 } \end{array} \right.$$

Sort

$$3.5,\ 6.2$$

Solution Steps

Multiply 1.2 and 0.5 to get 0.6.

$$sort(2.9+0.6,20.9-\frac{2.1}{0.5}\times 3.5)$$

Add 2.9 and 0.6 to get 3.5.

$$sort(3.5,20.9-\frac{2.1}{0.5}\times 3.5)$$

Expand \frac{2.1}{0.5} by multiplying both numerator and the denominator by 10.

$$sort(3.5,20.9-\frac{21}{5}\times 3.5)$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$sort(3.5,20.9-\frac{21}{5}\times \frac{7}{2})$$

Multiply \frac{21}{5} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$sort(3.5,20.9-\frac{21\times 7}{5\times 2})$$

Do the multiplications in the fraction \frac{21\times 7}{5\times 2}.

$$sort(3.5,20.9-\frac{147}{10})$$

Convert decimal number 20.9 to fraction \frac{209}{10}.

$$sort(3.5,\frac{209}{10}-\frac{147}{10})$$

Since \frac{209}{10} and \frac{147}{10} have the same denominator, subtract them by subtracting their numerators.

$$sort(3.5,\frac{209-147}{10})$$

Subtract 147 from 209 to get 62.

$$sort(3.5,\frac{62}{10})$$

Reduce the fraction \frac{62}{10} to lowest terms by extracting and canceling out 2.

$$sort(3.5,\frac{31}{5})$$

Convert decimal numbers in the list 3.5,\frac{31}{5} to fractions.

$$\frac{7}{2},\frac{31}{5}$$

Least common denominator of the numbers in the list \frac{7}{2},\frac{31}{5} is 10. Convert numbers in the list to fractions with denominator 10.

$$\frac{35}{10},\frac{62}{10}$$

Evaluate

$$3.5,\ 6.2$$