Solve 52/7-211/14=

$$5 \frac { 2 } { 7 } - 2 \frac { 11 } { 14 } =$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Multiply 5 and 7 to get 35.

$$\frac{35+2}{7}-\frac{2\times 14+11}{14}$$

Add 35 and 2 to get 37.

$$\frac{37}{7}-\frac{2\times 14+11}{14}$$

Multiply 2 and 14 to get 28.

$$\frac{37}{7}-\frac{28+11}{14}$$

Add 28 and 11 to get 39.

$$\frac{37}{7}-\frac{39}{14}$$

Least common multiple of 7 and 14 is 14. Convert \frac{37}{7} and \frac{39}{14} to fractions with denominator 14.

$$\frac{74}{14}-\frac{39}{14}$$

Since \frac{74}{14} and \frac{39}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{74-39}{14}$$

Subtract 39 from 74 to get 35.

$$\frac{35}{14}$$

Reduce the fraction \frac{35}{14} to lowest terms by extracting and canceling out 7.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$