Solve 31/2+22/7

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

Evaluate

$$\frac{81}{14}\approx 5.785714286$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}+\frac{2\times 7+2}{7}$$

Add 6 and 1 to get 7.

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

Multiply 2 and 7 to get 14.

$$\frac{7}{2}+\frac{14+2}{7}$$

Add 14 and 2 to get 16.

$$\frac{7}{2}+\frac{16}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{7}{2} and \frac{16}{7} to fractions with denominator 14.

$$\frac{49}{14}+\frac{32}{14}$$

Since \frac{49}{14} and \frac{32}{14} have the same denominator, add them by adding their numerators.

$$\frac{49+32}{14}$$

Add 49 and 32 to get 81.

$$\frac{81}{14}$$

Factor

$$\frac{3 ^ {4}}{2 \cdot 7} = 5\frac{11}{14} = 5.785714285714286$$