Solve 53/7-211/14

$$5 \frac{ 3 }{ 7 } -2 \frac{ 11 }{ 14 }$$

Evaluate

$$\frac{37}{14}\approx 2.642857143$$

Solution Steps

Multiply 5 and 7 to get 35.

$$\frac{35+3}{7}-\frac{2\times 14+11}{14}$$

Add 35 and 3 to get 38.

$$\frac{38}{7}-\frac{2\times 14+11}{14}$$

Multiply 2 and 14 to get 28.

$$\frac{38}{7}-\frac{28+11}{14}$$

Add 28 and 11 to get 39.

$$\frac{38}{7}-\frac{39}{14}$$

Least common multiple of 7 and 14 is 14. Convert \frac{38}{7} and \frac{39}{14} to fractions with denominator 14.

$$\frac{76}{14}-\frac{39}{14}$$

Since \frac{76}{14} and \frac{39}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{76-39}{14}$$

Subtract 39 from 76 to get 37.

$$\frac{37}{14}$$

Factor

$$\frac{37}{2 \cdot 7} = 2\frac{9}{14} = 2.642857142857143$$