Solve 11/2+51/7

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

Evaluate

$$\frac{93}{14}\approx 6.642857143$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 5 and 7 to get 35.

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

Add 35 and 1 to get 36.

$$\frac{3}{2}+\frac{36}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{3}{2} and \frac{36}{7} to fractions with denominator 14.

$$\frac{21}{14}+\frac{72}{14}$$

Since \frac{21}{14} and \frac{72}{14} have the same denominator, add them by adding their numerators.

$$\frac{21+72}{14}$$

Add 21 and 72 to get 93.

$$\frac{93}{14}$$

Factor

$$\frac{3 \cdot 31}{2 \cdot 7} = 6\frac{9}{14} = 6.642857142857143$$