Solve 45,5+(6.8*4.5)-4/12

$$45,5 + ( 6.8 \times 4.5 ) - \frac { 4 } { 12 }$$

Sort

$$\frac{529}{15},45$$

Solution Steps

Multiply 6.8 and 4.5 to get 30.6.

$$sort(45,5+30.6-\frac{4}{12})$$

Add 5 and 30.6 to get 35.6.

$$sort(45,35.6-\frac{4}{12})$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$sort(45,35.6-\frac{1}{3})$$

Convert decimal number 35.6 to fraction \frac{356}{10}. Reduce the fraction \frac{356}{10} to lowest terms by extracting and canceling out 2.

$$sort(45,\frac{178}{5}-\frac{1}{3})$$

Least common multiple of 5 and 3 is 15. Convert \frac{178}{5} and \frac{1}{3} to fractions with denominator 15.

$$sort(45,\frac{534}{15}-\frac{5}{15})$$

Since \frac{534}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$sort(45,\frac{534-5}{15})$$

Subtract 5 from 534 to get 529.

$$sort(45,\frac{529}{15})$$

Convert decimal numbers in the list 45,\frac{529}{15} to fractions.

$$45,\frac{529}{15}$$

To sort the list, start from a single element 45.

$$45$$

Insert \frac{529}{15} to the appropriate location in the new list.

$$\frac{529}{15},45$$

Evaluate

$$45,\frac{529}{15}$$