Solve 21/4-5/6=

$$2 \frac{ 1 }{ 4 } - \frac{ 5 }{ 6 } =$$

Evaluate

$$\frac{17}{12}\approx 1.416666667$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}-\frac{5}{6}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}-\frac{5}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{9}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{27}{12}-\frac{10}{12}$$

Since \frac{27}{12} and \frac{10}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-10}{12}$$

Subtract 10 from 27 to get 17.

$$\frac{17}{12}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3} = 1\frac{5}{12} = 1.4166666666666667$$