Solve 102.2-2.86div1.3

$$102.2 - 2.86 \div 1.3$$

Evaluate

$$100$$

Solution Steps

Expand \frac{2.86}{1.3} by multiplying both numerator and the denominator by 100.

$$102.2-\frac{286}{130}$$

Reduce the fraction \frac{286}{130} to lowest terms by extracting and canceling out 26.

$$102.2-\frac{11}{5}$$

Convert decimal number 102.2 to fraction \frac{1022}{10}. Reduce the fraction \frac{1022}{10} to lowest terms by extracting and canceling out 2.

$$\frac{511}{5}-\frac{11}{5}$$

Since \frac{511}{5} and \frac{11}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{511-11}{5}$$

Subtract 11 from 511 to get 500.

$$\frac{500}{5}$$

Divide 500 by 5 to get 100.

$$100$$

Factor

$$2^{2}\times 5^{2}$$