Solve (2+1/4)-(21/6)

$$(2+ \frac{ 1 }{ 4 } )-(2 \frac{ 1 }{ 6 } )$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Convert 2 to fraction \frac{8}{4}.

$$\frac{8}{4}+\frac{1}{4}-\frac{2\times 6+1}{6}$$

Since \frac{8}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{8+1}{4}-\frac{2\times 6+1}{6}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}-\frac{2\times 6+1}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{9}{4}-\frac{12+1}{6}$$

Add 12 and 1 to get 13.

$$\frac{9}{4}-\frac{13}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{9}{4} and \frac{13}{6} to fractions with denominator 12.

$$\frac{27}{12}-\frac{26}{12}$$

Since \frac{27}{12} and \frac{26}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-26}{12}$$

Subtract 26 from 27 to get 1.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$