Solve 71.6-18.07div33.06

$$71.6-18.07 \div 33.06$$

Evaluate

$$\frac{1174513}{16530}\approx 71.053418028$$

Solution Steps

Expand \frac{18.07}{33.06} by multiplying both numerator and the denominator by 100.

$$71.6-\frac{1807}{3306}$$

Convert decimal number 71.6 to fraction \frac{716}{10}. Reduce the fraction \frac{716}{10} to lowest terms by extracting and canceling out 2.

$$\frac{358}{5}-\frac{1807}{3306}$$

Least common multiple of 5 and 3306 is 16530. Convert \frac{358}{5} and \frac{1807}{3306} to fractions with denominator 16530.

$$\frac{1183548}{16530}-\frac{9035}{16530}$$

Since \frac{1183548}{16530} and \frac{9035}{16530} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1183548-9035}{16530}$$

Subtract 9035 from 1183548 to get 1174513.

$$\frac{1174513}{16530}$$

Factor

$$\frac{17 \cdot 59 \cdot 1171}{2 \cdot 3 \cdot 5 \cdot 19 \cdot 29} = 71\frac{883}{16530} = 71.05341802782819$$