Solve 12/7+22/3

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

Evaluate

$$\frac{83}{21}\approx 3.952380952$$

Solution Steps

Multiply 1 and 7 to get 7.

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

Add 7 and 2 to get 9.

$$\frac{9}{7}+\frac{2\times 3+2}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{9}{7}+\frac{6+2}{3}$$

Add 6 and 2 to get 8.

$$\frac{9}{7}+\frac{8}{3}$$

Least common multiple of 7 and 3 is 21. Convert \frac{9}{7} and \frac{8}{3} to fractions with denominator 21.

$$\frac{27}{21}+\frac{56}{21}$$

Since \frac{27}{21} and \frac{56}{21} have the same denominator, add them by adding their numerators.

$$\frac{27+56}{21}$$

Add 27 and 56 to get 83.

$$\frac{83}{21}$$

Factor

$$\frac{83}{3 \cdot 7} = 3\frac{20}{21} = 3.9523809523809526$$