Solve (1-0,5):0,6+0,05

$$( 1 - 0,5 ) : 0,6 + 0,05$$

Evaluate

$$\frac{53}{60}\approx 0,883333333$$

Solution Steps

Subtract 0,5 from 1 to get 0,5.

$$\frac{0,5}{0,6}+0,05$$

Expand \frac{0,5}{0,6} by multiplying both numerator and the denominator by 10.

$$\frac{5}{6}+0,05$$

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.

$$\frac{5}{6}+\frac{1}{20}$$

Least common multiple of 6 and 20 is 60. Convert \frac{5}{6} and \frac{1}{20} to fractions with denominator 60.

$$\frac{50}{60}+\frac{3}{60}$$

Since \frac{50}{60} and \frac{3}{60} have the same denominator, add them by adding their numerators.

$$\frac{50+3}{60}$$

Add 50 and 3 to get 53.

$$\frac{53}{60}$$

Factor

$$\frac{53}{3 \cdot 5 \cdot 2 ^ {2}} = 0.8833333333333333$$