Solve 52/7+31/2

$$5 \frac { 2 } { 7 } + 3 \frac { 1 } { 2 }$$

Evaluate

$$\frac{123}{14}\approx 8.785714286$$

Solution Steps

Multiply 5 and 7 to get 35.

$$\frac{35+2}{7}+\frac{3\times 2+1}{2}$$

Add 35 and 2 to get 37.

$$\frac{37}{7}+\frac{3\times 2+1}{2}$$

Multiply 3 and 2 to get 6.

$$\frac{37}{7}+\frac{6+1}{2}$$

Add 6 and 1 to get 7.

$$\frac{37}{7}+\frac{7}{2}$$

Least common multiple of 7 and 2 is 14. Convert \frac{37}{7} and \frac{7}{2} to fractions with denominator 14.

$$\frac{74}{14}+\frac{49}{14}$$

Since \frac{74}{14} and \frac{49}{14} have the same denominator, add them by adding their numerators.

$$\frac{74+49}{14}$$

Add 74 and 49 to get 123.

$$\frac{123}{14}$$

Factor

$$\frac{3 \cdot 41}{2 \cdot 7} = 8\frac{11}{14} = 8.785714285714286$$