Solve 31/6-25/7=

$$3 \frac { 1 } { 6 } - 2 \frac { 5 } { 7 } =$$

Evaluate

$$\frac{19}{42}\approx 0.452380952$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+1}{6}-\frac{2\times 7+5}{7}$$

Add 18 and 1 to get 19.

$$\frac{19}{6}-\frac{2\times 7+5}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{19}{6}-\frac{14+5}{7}$$

Add 14 and 5 to get 19.

$$\frac{19}{6}-\frac{19}{7}$$

Least common multiple of 6 and 7 is 42. Convert \frac{19}{6} and \frac{19}{7} to fractions with denominator 42.

$$\frac{133}{42}-\frac{114}{42}$$

Since \frac{133}{42} and \frac{114}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{133-114}{42}$$

Subtract 114 from 133 to get 19.

$$\frac{19}{42}$$

Factor

$$\frac{19}{2 \cdot 3 \cdot 7} = 0.4523809523809524$$