Solve 14/7+2/3

$$1 \frac { 4 } { 7 } + \frac { 2 } { 3 }$$

Evaluate

$$\frac{47}{21}\approx 2.238095238$$

Solution Steps

Multiply 1 and 7 to get 7.

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

Add 7 and 4 to get 11.

$$\frac{11}{7}+\frac{2}{3}$$

Least common multiple of 7 and 3 is 21. Convert \frac{11}{7} and \frac{2}{3} to fractions with denominator 21.

$$\frac{33}{21}+\frac{14}{21}$$

Since \frac{33}{21} and \frac{14}{21} have the same denominator, add them by adding their numerators.

$$\frac{33+14}{21}$$

Add 33 and 14 to get 47.

$$\frac{47}{21}$$

Factor

$$\frac{47}{3 \cdot 7} = 2\frac{5}{21} = 2.238095238095238$$