Solve 0,001*72,2^2-0,13*72,2+6,2+75/72,2

$$0,001 \cdot 72,2 ^ { 2 } - 0,13 \cdot 72,2 + 6,2 + \frac { 75 } { 72,2 }$$

Sort

$$0,\frac{940530047}{180500}$$

Solution Steps

Calculate 72.2 to the power of 2 and get 5212.84.

$$sort(0,1\times 5212.84-0.13\times 72.2+6.2+\frac{75}{72.2})$$

Multiply 1 and 5212.84 to get 5212.84.

$$sort(0,5212.84-0.13\times 72.2+6.2+\frac{75}{72.2})$$

Multiply 0.13 and 72.2 to get 9.386.

$$sort(0,5212.84-9.386+6.2+\frac{75}{72.2})$$

Subtract 9.386 from 5212.84 to get 5203.454.

$$sort(0,5203.454+6.2+\frac{75}{72.2})$$

Add 5203.454 and 6.2 to get 5209.654.

$$sort(0,5209.654+\frac{75}{72.2})$$

Expand \frac{75}{72.2} by multiplying both numerator and the denominator by 10.

$$sort(0,5209.654+\frac{750}{722})$$

Reduce the fraction \frac{750}{722} to lowest terms by extracting and canceling out 2.

$$sort(0,5209.654+\frac{375}{361})$$

Convert decimal number 5209.654 to fraction \frac{5209654}{1000}. Reduce the fraction \frac{5209654}{1000} to lowest terms by extracting and canceling out 2.

$$sort(0,\frac{2604827}{500}+\frac{375}{361})$$

Least common multiple of 500 and 361 is 180500. Convert \frac{2604827}{500} and \frac{375}{361} to fractions with denominator 180500.

$$sort(0,\frac{940342547}{180500}+\frac{187500}{180500})$$

Since \frac{940342547}{180500} and \frac{187500}{180500} have the same denominator, add them by adding their numerators.

$$sort(0,\frac{940342547+187500}{180500})$$

Add 940342547 and 187500 to get 940530047.

$$sort(0,\frac{940530047}{180500})$$

Convert decimal numbers in the list 0,\frac{940530047}{180500} to fractions.

$$0,\frac{940530047}{180500}$$

Evaluate

$$0,\frac{940530047}{180500}$$