Solve 71.2-17.25div34.88

$$71.2-17.25 \div 34.88$$

Evaluate

$$\frac{1233103}{17440}\approx 70.705447248$$

Solution Steps

Expand \frac{17.25}{34.88} by multiplying both numerator and the denominator by 100.

$$71.2-\frac{1725}{3488}$$

Convert decimal number 71.2 to fraction \frac{712}{10}. Reduce the fraction \frac{712}{10} to lowest terms by extracting and canceling out 2.

$$\frac{356}{5}-\frac{1725}{3488}$$

Least common multiple of 5 and 3488 is 17440. Convert \frac{356}{5} and \frac{1725}{3488} to fractions with denominator 17440.

$$\frac{1241728}{17440}-\frac{8625}{17440}$$

Since \frac{1241728}{17440} and \frac{8625}{17440} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1241728-8625}{17440}$$

Subtract 8625 from 1241728 to get 1233103.

$$\frac{1233103}{17440}$$

Factor

$$\frac{131 \cdot 9413}{5 \cdot 109 \cdot 2 ^ {5}} = 70\frac{12303}{17440} = 70.70544724770642$$