Solve 11/10-11/35

$$1 \frac { 1 } { 10 } - \frac { 11 } { 35 }$$

Evaluate

$$\frac{11}{14}\approx 0.785714286$$

Solution Steps

Multiply 1 and 10 to get 10.

$$\frac{10+1}{10}-\frac{11}{35}$$

Add 10 and 1 to get 11.

$$\frac{11}{10}-\frac{11}{35}$$

Least common multiple of 10 and 35 is 70. Convert \frac{11}{10} and \frac{11}{35} to fractions with denominator 70.

$$\frac{77}{70}-\frac{22}{70}$$

Since \frac{77}{70} and \frac{22}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{77-22}{70}$$

Subtract 22 from 77 to get 55.

$$\frac{55}{70}$$

Reduce the fraction \frac{55}{70} to lowest terms by extracting and canceling out 5.

$$\frac{11}{14}$$

Factor

$$\frac{11}{2 \cdot 7} = 0.7857142857142857$$