Solve 3/8+1/6-5/8+3/4=

$$3 / 8 + 1 / 6 - 5 / 8 + 3 / 4 =$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Least common multiple of 8 and 6 is 24. Convert \frac{3}{8} and \frac{1}{6} to fractions with denominator 24.

$$\frac{9}{24}+\frac{4}{24}-\frac{5}{8}+\frac{3}{4}$$

Since \frac{9}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{24}-\frac{5}{8}+\frac{3}{4}$$

Add 9 and 4 to get 13.

$$\frac{13}{24}-\frac{5}{8}+\frac{3}{4}$$

Least common multiple of 24 and 8 is 24. Convert \frac{13}{24} and \frac{5}{8} to fractions with denominator 24.

$$\frac{13}{24}-\frac{15}{24}+\frac{3}{4}$$

Since \frac{13}{24} and \frac{15}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-15}{24}+\frac{3}{4}$$

Subtract 15 from 13 to get -2.

$$\frac{-2}{24}+\frac{3}{4}$$

Reduce the fraction \frac{-2}{24} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{12}+\frac{3}{4}$$

Least common multiple of 12 and 4 is 12. Convert -\frac{1}{12} and \frac{3}{4} to fractions with denominator 12.

$$-\frac{1}{12}+\frac{9}{12}$$

Since -\frac{1}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{-1+9}{12}$$

Add -1 and 9 to get 8.

$$\frac{8}{12}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$