Solve 72.366-522div842

$$72.366-522 \div 842$$

Evaluate

$$\frac{15102543}{210500}\approx 71.746047506$$

Solution Steps

Reduce the fraction \frac{522}{842} to lowest terms by extracting and canceling out 2.

$$72.366-\frac{261}{421}$$

Convert decimal number 72.366 to fraction \frac{72366}{1000}. Reduce the fraction \frac{72366}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{36183}{500}-\frac{261}{421}$$

Least common multiple of 500 and 421 is 210500. Convert \frac{36183}{500} and \frac{261}{421} to fractions with denominator 210500.

$$\frac{15233043}{210500}-\frac{130500}{210500}$$

Since \frac{15233043}{210500} and \frac{130500}{210500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15233043-130500}{210500}$$

Subtract 130500 from 15233043 to get 15102543.

$$\frac{15102543}{210500}$$

Factor

$$\frac{3 \cdot 5034181}{421 \cdot 2 ^ {2} \cdot 5 ^ {3}} = 71\frac{157043}{210500} = 71.74604750593824$$