Solve 31074.28div1.13-240.30-240.30

$$31074.28 \div 1.13-240.30-240.30$$

Evaluate

$$\frac{15265601}{565}\approx 27018.762831858$$

Solution Steps

Expand \frac{31074.28}{1.13} by multiplying both numerator and the denominator by 100.

$$\frac{3107428}{113}-240.3-240.3$$

Convert decimal number 240.3 to fraction \frac{2403}{10}.

$$\frac{3107428}{113}-\frac{2403}{10}-240.3$$

Least common multiple of 113 and 10 is 1130. Convert \frac{3107428}{113} and \frac{2403}{10} to fractions with denominator 1130.

$$\frac{31074280}{1130}-\frac{271539}{1130}-240.3$$

Since \frac{31074280}{1130} and \frac{271539}{1130} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31074280-271539}{1130}-240.3$$

Subtract 271539 from 31074280 to get 30802741.

$$\frac{30802741}{1130}-240.3$$

Convert decimal number 240.3 to fraction \frac{2403}{10}.

$$\frac{30802741}{1130}-\frac{2403}{10}$$

Least common multiple of 1130 and 10 is 1130. Convert \frac{30802741}{1130} and \frac{2403}{10} to fractions with denominator 1130.

$$\frac{30802741}{1130}-\frac{271539}{1130}$$

Since \frac{30802741}{1130} and \frac{271539}{1130} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30802741-271539}{1130}$$

Subtract 271539 from 30802741 to get 30531202.

$$\frac{30531202}{1130}$$

Reduce the fraction \frac{30531202}{1130} to lowest terms by extracting and canceling out 2.

$$\frac{15265601}{565}$$

Factor

$$\frac{59 \cdot 1531 \cdot 13 ^ {2}}{5 \cdot 113} = 27018\frac{431}{565} = 27018.762831858407$$