Solve {l}{1,25-41/12}{-21/2-3.4}

$$\left. \begin{array} { l } { 1,25 - 4 \frac { 1 } { 12 } } \\ { - 2 \frac { 1 } { 2 } - 3.4 } \end{array} \right.$$

Sort

$$1,\frac{901}{60}$$

Solution Steps

Multiply 4 and 12 to get 48.

$$sort(1,25-\frac{48+1}{12}-\frac{2\times 2+1}{2}-3.4)$$

Add 48 and 1 to get 49.

$$sort(1,25-\frac{49}{12}-\frac{2\times 2+1}{2}-3.4)$$

Convert 25 to fraction \frac{300}{12}.

$$sort(1,\frac{300}{12}-\frac{49}{12}-\frac{2\times 2+1}{2}-3.4)$$

Since \frac{300}{12} and \frac{49}{12} have the same denominator, subtract them by subtracting their numerators.

$$sort(1,\frac{300-49}{12}-\frac{2\times 2+1}{2}-3.4)$$

Subtract 49 from 300 to get 251.

$$sort(1,\frac{251}{12}-\frac{2\times 2+1}{2}-3.4)$$

Multiply 2 and 2 to get 4.

$$sort(1,\frac{251}{12}-\frac{4+1}{2}-3.4)$$

Add 4 and 1 to get 5.

$$sort(1,\frac{251}{12}-\frac{5}{2}-3.4)$$

Least common multiple of 12 and 2 is 12. Convert \frac{251}{12} and \frac{5}{2} to fractions with denominator 12.

$$sort(1,\frac{251}{12}-\frac{30}{12}-3.4)$$

Since \frac{251}{12} and \frac{30}{12} have the same denominator, subtract them by subtracting their numerators.

$$sort(1,\frac{251-30}{12}-3.4)$$

Subtract 30 from 251 to get 221.

$$sort(1,\frac{221}{12}-3.4)$$

Convert decimal number 3.4 to fraction \frac{34}{10}. Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$sort(1,\frac{221}{12}-\frac{17}{5})$$

Least common multiple of 12 and 5 is 60. Convert \frac{221}{12} and \frac{17}{5} to fractions with denominator 60.

$$sort(1,\frac{1105}{60}-\frac{204}{60})$$

Since \frac{1105}{60} and \frac{204}{60} have the same denominator, subtract them by subtracting their numerators.

$$sort(1,\frac{1105-204}{60})$$

Subtract 204 from 1105 to get 901.

$$sort(1,\frac{901}{60})$$

Convert decimal numbers in the list 1,\frac{901}{60} to fractions.

$$1,\frac{901}{60}$$

Evaluate

$$1,\frac{901}{60}$$