Solve 7/10+1/6+3/10+5/6

$$\frac { 7 } { 10 } + \frac { 1 } { 6 } + \frac { 3 } { 10 } + \frac { 5 } { 6 }$$

Evaluate

$$2$$

Solution Steps

Least common multiple of 10 and 6 is 30. Convert \frac{7}{10} and \frac{1}{6} to fractions with denominator 30.

$$\frac{21}{30}+\frac{5}{30}+\frac{3}{10}+\frac{5}{6}$$

Since \frac{21}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{21+5}{30}+\frac{3}{10}+\frac{5}{6}$$

Add 21 and 5 to get 26.

$$\frac{26}{30}+\frac{3}{10}+\frac{5}{6}$$

Reduce the fraction \frac{26}{30} to lowest terms by extracting and canceling out 2.

$$\frac{13}{15}+\frac{3}{10}+\frac{5}{6}$$

Least common multiple of 15 and 10 is 30. Convert \frac{13}{15} and \frac{3}{10} to fractions with denominator 30.

$$\frac{26}{30}+\frac{9}{30}+\frac{5}{6}$$

Since \frac{26}{30} and \frac{9}{30} have the same denominator, add them by adding their numerators.

$$\frac{26+9}{30}+\frac{5}{6}$$

Add 26 and 9 to get 35.

$$\frac{35}{30}+\frac{5}{6}$$

Reduce the fraction \frac{35}{30} to lowest terms by extracting and canceling out 5.

$$\frac{7}{6}+\frac{5}{6}$$

Since \frac{7}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{7+5}{6}$$

Add 7 and 5 to get 12.

$$\frac{12}{6}$$

Divide 12 by 6 to get 2.

$$2$$

Factor

$$2$$