Solve 25/14-11/6=

$$2 \frac { 5 } { 14 } - 1 \frac { 1 } { 6 } =$$

Evaluate

$$\frac{25}{21}\approx 1.19047619$$

Solution Steps

Multiply 2 and 14 to get 28.

$$\frac{28+5}{14}-\frac{1\times 6+1}{6}$$

Add 28 and 5 to get 33.

$$\frac{33}{14}-\frac{1\times 6+1}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{33}{14}-\frac{6+1}{6}$$

Add 6 and 1 to get 7.

$$\frac{33}{14}-\frac{7}{6}$$

Least common multiple of 14 and 6 is 42. Convert \frac{33}{14} and \frac{7}{6} to fractions with denominator 42.

$$\frac{99}{42}-\frac{49}{42}$$

Since \frac{99}{42} and \frac{49}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{99-49}{42}$$

Subtract 49 from 99 to get 50.

$$\frac{50}{42}$$

Reduce the fraction \frac{50}{42} to lowest terms by extracting and canceling out 2.

$$\frac{25}{21}$$

Factor

$$\frac{5 ^ {2}}{3 \cdot 7} = 1\frac{4}{21} = 1.1904761904761905$$