Solve {l}{4,86:(-1,8)-0,8*2,3+6}{13,44:(0,65-0,23*15)}

$$\left. \begin{array} { l } { 4,86 : ( - 1,8 ) - 0,8 \cdot 2,3 + 6 } \\ { 13,44 : ( 0,65 - 0,23 \cdot 15 ) } \end{array} \right.$$

Sort

$$-4,8;1,46$$

Solution Steps

Expand \frac{4,86}{-1,8} by multiplying both numerator and the denominator by 100.

$$sort(\frac{486}{-180}-0,8\times 2,3+6;\frac{13,44}{0,65-0,23\times 15})$$

Reduce the fraction \frac{486}{-180} to lowest terms by extracting and canceling out 18.

$$sort(-\frac{27}{10}-0,8\times 2,3+6;\frac{13,44}{0,65-0,23\times 15})$$

Multiply 0,8 and 2,3 to get 1,84.

$$sort(-\frac{27}{10}-1,84+6;\frac{13,44}{0,65-0,23\times 15})$$

Convert decimal number 1,84 to fraction \frac{184}{100}. Reduce the fraction \frac{184}{100} to lowest terms by extracting and canceling out 4.

$$sort(-\frac{27}{10}-\frac{46}{25}+6;\frac{13,44}{0,65-0,23\times 15})$$

Least common multiple of 10 and 25 is 50. Convert -\frac{27}{10} and \frac{46}{25} to fractions with denominator 50.

$$sort(-\frac{135}{50}-\frac{92}{50}+6;\frac{13,44}{0,65-0,23\times 15})$$

Since -\frac{135}{50} and \frac{92}{50} have the same denominator, subtract them by subtracting their numerators.

$$sort(\frac{-135-92}{50}+6;\frac{13,44}{0,65-0,23\times 15})$$

Subtract 92 from -135 to get -227.

$$sort(-\frac{227}{50}+6;\frac{13,44}{0,65-0,23\times 15})$$

Convert 6 to fraction \frac{300}{50}.

$$sort(-\frac{227}{50}+\frac{300}{50};\frac{13,44}{0,65-0,23\times 15})$$

Since -\frac{227}{50} and \frac{300}{50} have the same denominator, add them by adding their numerators.

$$sort(\frac{-227+300}{50};\frac{13,44}{0,65-0,23\times 15})$$

Add -227 and 300 to get 73.

$$sort(\frac{73}{50};\frac{13,44}{0,65-0,23\times 15})$$

Multiply 0,23 and 15 to get 3,45.

$$sort(\frac{73}{50};\frac{13,44}{0,65-3,45})$$

Subtract 3,45 from 0,65 to get -2,8.

$$sort(\frac{73}{50};\frac{13,44}{-2,8})$$

Expand \frac{13,44}{-2,8} by multiplying both numerator and the denominator by 100.

$$sort(\frac{73}{50};\frac{1344}{-280})$$

Reduce the fraction \frac{1344}{-280} to lowest terms by extracting and canceling out 56.

$$sort(\frac{73}{50};-\frac{24}{5})$$

Least common denominator of the numbers in the list \frac{73}{50};-\frac{24}{5} is 50. Convert numbers in the list to fractions with denominator 50.

$$\frac{73}{50};-\frac{240}{50}$$

To sort the list, start from a single element \frac{73}{50}.

$$\frac{73}{50}$$

Insert -\frac{240}{50} to the appropriate location in the new list.

$$-\frac{240}{50};\frac{73}{50}$$

Replace the obtained fractions with the initial values.

$$-\frac{24}{5};\frac{73}{50}$$

Evaluate

$$1,46,\ -4,8$$