Solve 0.23div2-0.05=

$$0.23 \div 2-0.05=$$

Evaluate

$$0.065$$

Solution Steps

Expand \frac{0.23}{2} by multiplying both numerator and the denominator by 100.

$$\frac{23}{200}-0.05$$

Convert decimal number 0.05 to fraction \frac{5}{100}. Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{23}{200}-\frac{1}{20}$$

Least common multiple of 200 and 20 is 200. Convert \frac{23}{200} and \frac{1}{20} to fractions with denominator 200.

$$\frac{23}{200}-\frac{10}{200}$$

Since \frac{23}{200} and \frac{10}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-10}{200}$$

Subtract 10 from 23 to get 13.

$$\frac{13}{200}$$

Factor

$$\frac{13}{2 ^ {3} \cdot 5 ^ {2}} = 0.065$$