Solve 10/7+2/3+4/3+4/7

$$\frac { 10 } { 7 } + \frac { 2 } { 3 } + \frac { 4 } { 3 } + \frac { 4 } { 7 }$$

Evaluate

$$4$$

Solution Steps

Least common multiple of 7 and 3 is 21. Convert \frac{10}{7} and \frac{2}{3} to fractions with denominator 21.

$$\frac{30}{21}+\frac{14}{21}+\frac{4}{3}+\frac{4}{7}$$

Since \frac{30}{21} and \frac{14}{21} have the same denominator, add them by adding their numerators.

$$\frac{30+14}{21}+\frac{4}{3}+\frac{4}{7}$$

Add 30 and 14 to get 44.

$$\frac{44}{21}+\frac{4}{3}+\frac{4}{7}$$

Least common multiple of 21 and 3 is 21. Convert \frac{44}{21} and \frac{4}{3} to fractions with denominator 21.

$$\frac{44}{21}+\frac{28}{21}+\frac{4}{7}$$

Since \frac{44}{21} and \frac{28}{21} have the same denominator, add them by adding their numerators.

$$\frac{44+28}{21}+\frac{4}{7}$$

Add 44 and 28 to get 72.

$$\frac{72}{21}+\frac{4}{7}$$

Reduce the fraction \frac{72}{21} to lowest terms by extracting and canceling out 3.

$$\frac{24}{7}+\frac{4}{7}$$

Since \frac{24}{7} and \frac{4}{7} have the same denominator, add them by adding their numerators.

$$\frac{24+4}{7}$$

Add 24 and 4 to get 28.

$$\frac{28}{7}$$

Divide 28 by 7 to get 4.

$$4$$

Factor

$$2^{2}$$