Solve 1/4+17/6(1/2)+5/6

$$\frac{ 1 }{ 4 } + \frac{ 17 }{ 6 } ( \frac{ 1 }{ 2 } )+ \frac{ 5 }{ 6 }$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Multiply \frac{17}{6} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{4}+\frac{17\times 1}{6\times 2}+\frac{5}{6}$$

Do the multiplications in the fraction \frac{17\times 1}{6\times 2}.

$$\frac{1}{4}+\frac{17}{12}+\frac{5}{6}$$

Least common multiple of 4 and 12 is 12. Convert \frac{1}{4} and \frac{17}{12} to fractions with denominator 12.

$$\frac{3}{12}+\frac{17}{12}+\frac{5}{6}$$

Since \frac{3}{12} and \frac{17}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+17}{12}+\frac{5}{6}$$

Add 3 and 17 to get 20.

$$\frac{20}{12}+\frac{5}{6}$$

Reduce the fraction \frac{20}{12} to lowest terms by extracting and canceling out 4.

$$\frac{5}{3}+\frac{5}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{5}{3} and \frac{5}{6} to fractions with denominator 6.

$$\frac{10}{6}+\frac{5}{6}$$

Since \frac{10}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{10+5}{6}$$

Add 10 and 5 to get 15.

$$\frac{15}{6}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$