Solve {l}{(11,69+9,3-12,79)*0,9:16,2}{(16,97+25,84)*(35,49:4,563)}

$$\left. \begin{array} { l } { ( 11,69 + 9,3 - 12,79 ) \cdot 0,9 : 16,2 } \\ { ( 16,97 + 25,84 ) \cdot ( 35,49 : 4,563 ) } \end{array} \right.$$

Sort

$$\frac{41}{90},\ \frac{9989}{30}$$

Solution Steps

Add 11,69 and 9,3 to get 20,99.

$$sort(\frac{\left(20,99-12,79\right)\times 0,9}{16,2};\left(16,97+25,84\right)\times \frac{35,49}{4,563})$$

Subtract 12,79 from 20,99 to get 8,2.

$$sort(\frac{8,2\times 0,9}{16,2};\left(16,97+25,84\right)\times \frac{35,49}{4,563})$$

Multiply 8,2 and 0,9 to get 7,38.

$$sort(\frac{7,38}{16,2};\left(16,97+25,84\right)\times \frac{35,49}{4,563})$$

Expand \frac{7,38}{16,2} by multiplying both numerator and the denominator by 100.

$$sort(\frac{738}{1620};\left(16,97+25,84\right)\times \frac{35,49}{4,563})$$

Reduce the fraction \frac{738}{1620} to lowest terms by extracting and canceling out 18.

$$sort(\frac{41}{90};\left(16,97+25,84\right)\times \frac{35,49}{4,563})$$

Add 16,97 and 25,84 to get 42,81.

$$sort(\frac{41}{90};42,81\times \frac{35,49}{4,563})$$

Expand \frac{35,49}{4,563} by multiplying both numerator and the denominator by 1000.

$$sort(\frac{41}{90};42,81\times \frac{35490}{4563})$$

Reduce the fraction \frac{35490}{4563} to lowest terms by extracting and canceling out 507.

$$sort(\frac{41}{90};42,81\times \frac{70}{9})$$

Convert decimal number 42,81 to fraction \frac{4281}{100}.

$$sort(\frac{41}{90};\frac{4281}{100}\times \frac{70}{9})$$

Multiply \frac{4281}{100} times \frac{70}{9} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{41}{90};\frac{4281\times 70}{100\times 9})$$

Do the multiplications in the fraction \frac{4281\times 70}{100\times 9}.

$$sort(\frac{41}{90};\frac{299670}{900})$$

Reduce the fraction \frac{299670}{900} to lowest terms by extracting and canceling out 30.

$$sort(\frac{41}{90};\frac{9989}{30})$$

Least common denominator of the numbers in the list \frac{41}{90};\frac{9989}{30} is 90. Convert numbers in the list to fractions with denominator 90.

$$\frac{41}{90};\frac{29967}{90}$$

Evaluate

$$\frac{41}{90},\ \frac{9989}{30}$$