Solve 63/7+31/2

$$6 \frac { 3 } { 7 } + 3 \frac { 1 } { 2 }$$

Evaluate

$$\frac{139}{14}\approx 9.928571429$$

Solution Steps

Multiply 6 and 7 to get 42.

$$\frac{42+3}{7}+\frac{3\times 2+1}{2}$$

Add 42 and 3 to get 45.

$$\frac{45}{7}+\frac{3\times 2+1}{2}$$

Multiply 3 and 2 to get 6.

$$\frac{45}{7}+\frac{6+1}{2}$$

Add 6 and 1 to get 7.

$$\frac{45}{7}+\frac{7}{2}$$

Least common multiple of 7 and 2 is 14. Convert \frac{45}{7} and \frac{7}{2} to fractions with denominator 14.

$$\frac{90}{14}+\frac{49}{14}$$

Since \frac{90}{14} and \frac{49}{14} have the same denominator, add them by adding their numerators.

$$\frac{90+49}{14}$$

Add 90 and 49 to get 139.

$$\frac{139}{14}$$

Factor

$$\frac{139}{2 \cdot 7} = 9\frac{13}{14} = 9.928571428571429$$