Solve 5.1-5/6=

$$5.1 - \frac { 5 } { 6 } =$$

Evaluate

$$\frac{64}{15}\approx 4.266666667$$

Solution Steps

Convert decimal number 5.1 to fraction \frac{51}{10}.

$$\frac{51}{10}-\frac{5}{6}$$

Least common multiple of 10 and 6 is 30. Convert \frac{51}{10} and \frac{5}{6} to fractions with denominator 30.

$$\frac{153}{30}-\frac{25}{30}$$

Since \frac{153}{30} and \frac{25}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{153-25}{30}$$

Subtract 25 from 153 to get 128.

$$\frac{128}{30}$$

Reduce the fraction \frac{128}{30} to lowest terms by extracting and canceling out 2.

$$\frac{64}{15}$$

Factor

$$\frac{2 ^ {6}}{3 \cdot 5} = 4\frac{4}{15} = 4.266666666666667$$