Solve 65/84-211/14

$$6 \frac { 5 } { 84 } - 2 \frac { 11 } { 14 }$$

Evaluate

$$\frac{275}{84}\approx 3.273809524$$

Solution Steps

Multiply 6 and 84 to get 504.

$$\frac{504+5}{84}-\frac{2\times 14+11}{14}$$

Add 504 and 5 to get 509.

$$\frac{509}{84}-\frac{2\times 14+11}{14}$$

Multiply 2 and 14 to get 28.

$$\frac{509}{84}-\frac{28+11}{14}$$

Add 28 and 11 to get 39.

$$\frac{509}{84}-\frac{39}{14}$$

Least common multiple of 84 and 14 is 84. Convert \frac{509}{84} and \frac{39}{14} to fractions with denominator 84.

$$\frac{509}{84}-\frac{234}{84}$$

Since \frac{509}{84} and \frac{234}{84} have the same denominator, subtract them by subtracting their numerators.

$$\frac{509-234}{84}$$

Subtract 234 from 509 to get 275.

$$\frac{275}{84}$$

Factor

$$\frac{5 ^ {2} \cdot 11}{2 ^ {2} \cdot 3 \cdot 7} = 3\frac{23}{84} = 3.2738095238095237$$