Solve 5/2+0,05-1,5

$$\frac { 5 } { 2 } + 0,05 - 1,5$$

Evaluate

$$1,05$$

Solution Steps

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.

$$\frac{5}{2}+\frac{1}{20}-1,5$$

Least common multiple of 2 and 20 is 20. Convert \frac{5}{2} and \frac{1}{20} to fractions with denominator 20.

$$\frac{50}{20}+\frac{1}{20}-1,5$$

Since \frac{50}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$\frac{50+1}{20}-1,5$$

Add 50 and 1 to get 51.

$$\frac{51}{20}-1,5$$

Convert decimal number 1,5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{51}{20}-\frac{3}{2}$$

Least common multiple of 20 and 2 is 20. Convert \frac{51}{20} and \frac{3}{2} to fractions with denominator 20.

$$\frac{51}{20}-\frac{30}{20}$$

Since \frac{51}{20} and \frac{30}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-30}{20}$$

Subtract 30 from 51 to get 21.

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

Factor

$$\frac{3 \cdot 7}{5 \cdot 2 ^ {2}} = 1\frac{1}{20} = 1.05$$