Solve 0.75-2/13+0.25-5/13

$$0.75- \frac{ 2 }{ 13 } +0.25- \frac{ 5 }{ 13 }$$

Evaluate

$$\frac{6}{13}\approx 0.461538462$$

Solution Steps

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{3}{4}-\frac{2}{13}+0.25-\frac{5}{13}$$

Least common multiple of 4 and 13 is 52. Convert \frac{3}{4} and \frac{2}{13} to fractions with denominator 52.

$$\frac{39}{52}-\frac{8}{52}+0.25-\frac{5}{13}$$

Since \frac{39}{52} and \frac{8}{52} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-8}{52}+0.25-\frac{5}{13}$$

Subtract 8 from 39 to get 31.

$$\frac{31}{52}+0.25-\frac{5}{13}$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{31}{52}+\frac{1}{4}-\frac{5}{13}$$

Least common multiple of 52 and 4 is 52. Convert \frac{31}{52} and \frac{1}{4} to fractions with denominator 52.

$$\frac{31}{52}+\frac{13}{52}-\frac{5}{13}$$

Since \frac{31}{52} and \frac{13}{52} have the same denominator, add them by adding their numerators.

$$\frac{31+13}{52}-\frac{5}{13}$$

Add 31 and 13 to get 44.

$$\frac{44}{52}-\frac{5}{13}$$

Reduce the fraction \frac{44}{52} to lowest terms by extracting and canceling out 4.

$$\frac{11}{13}-\frac{5}{13}$$

Since \frac{11}{13} and \frac{5}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-5}{13}$$

Subtract 5 from 11 to get 6.

$$\frac{6}{13}$$

Factor

$$\frac{2 \cdot 3}{13} = 0.46153846153846156$$