Solve 2/3+4/8+3/10=

$$\frac{ 2 }{ 3 } + \frac{ 4 }{ 8 } + \frac{ 3 }{ 10 } =$$

Evaluate

$$\frac{22}{15}\approx 1.466666667$$

Solution Steps

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

$$\frac{2}{3}+\frac{1}{2}+\frac{3}{10}$$

Least common multiple of 3 and 2 is 6. Convert \frac{2}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{4}{6}+\frac{3}{6}+\frac{3}{10}$$

Since \frac{4}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{4+3}{6}+\frac{3}{10}$$

Add 4 and 3 to get 7.

$$\frac{7}{6}+\frac{3}{10}$$

Least common multiple of 6 and 10 is 30. Convert \frac{7}{6} and \frac{3}{10} to fractions with denominator 30.

$$\frac{35}{30}+\frac{9}{30}$$

Since \frac{35}{30} and \frac{9}{30} have the same denominator, add them by adding their numerators.

$$\frac{35+9}{30}$$

Add 35 and 9 to get 44.

$$\frac{44}{30}$$

Reduce the fraction \frac{44}{30} to lowest terms by extracting and canceling out 2.

$$\frac{22}{15}$$

Factor

$$\frac{2 \cdot 11}{3 \cdot 5} = 1\frac{7}{15} = 1.4666666666666666$$