Solve 31/10-1/6=

$$3 \frac { 1 } { 10 } - \frac { 1 } { 6 } =$$

Evaluate

$$\frac{44}{15}\approx 2.933333333$$

Solution Steps

Multiply 3 and 10 to get 30.

$$\frac{30+1}{10}-\frac{1}{6}$$

Add 30 and 1 to get 31.

$$\frac{31}{10}-\frac{1}{6}$$

Least common multiple of 10 and 6 is 30. Convert \frac{31}{10} and \frac{1}{6} to fractions with denominator 30.

$$\frac{93}{30}-\frac{5}{30}$$

Since \frac{93}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{93-5}{30}$$

Subtract 5 from 93 to get 88.

$$\frac{88}{30}$$

Reduce the fraction \frac{88}{30} to lowest terms by extracting and canceling out 2.

$$\frac{44}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 11}{3 \cdot 5} = 2\frac{14}{15} = 2.933333333333333$$