Solve 1-0,5/0,75+1,5-1/2-0,25

$$\frac { 1 - 0,5 } { 0,75 } + \frac { 1,5 - 1 } { 2 - 0,25 }$$

Evaluate

$$\frac{20}{21}\approx 0,952380952$$

Solution Steps

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

$$\frac{0,5}{0,75}+\frac{1,5-1}{2-0,25}$$

Expand \frac{0,5}{0,75} by multiplying both numerator and the denominator by 100.

$$\frac{50}{75}+\frac{1,5-1}{2-0,25}$$

Reduce the fraction \frac{50}{75} to lowest terms by extracting and canceling out 25.

$$\frac{2}{3}+\frac{1,5-1}{2-0,25}$$

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

$$\frac{2}{3}+\frac{0,5}{2-0,25}$$

Subtract 0,25 from 2 to get 1,75.

$$\frac{2}{3}+\frac{0,5}{1,75}$$

Expand \frac{0,5}{1,75} by multiplying both numerator and the denominator by 100.

$$\frac{2}{3}+\frac{50}{175}$$

Reduce the fraction \frac{50}{175} to lowest terms by extracting and canceling out 25.

$$\frac{2}{3}+\frac{2}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{2}{3} and \frac{2}{7} to fractions with denominator 21.

$$\frac{14}{21}+\frac{6}{21}$$

Since \frac{14}{21} and \frac{6}{21} have the same denominator, add them by adding their numerators.

$$\frac{14+6}{21}$$

Add 14 and 6 to get 20.

$$\frac{20}{21}$$

Factor

$$\frac{5 \cdot 2 ^ {2}}{3 \cdot 7} = 0.9523809523809523$$