Solve 2/8+1/2text{of}[5/6+3/4)div16

$$\frac { 2 } { 8 } + \frac { 1 } { 2 } \text { of } [ \frac { 5 } { 6 } + \frac { 3 } { 4 } ) \div 16$$

Evaluate

$$\frac{19fo}{384}+\frac{1}{4}$$

Solution Steps

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}+\frac{\frac{1}{2}of\left(\frac{5}{6}+\frac{3}{4}\right)}{16}$$

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{1}{4}+\frac{\frac{1}{2}of\left(\frac{10}{12}+\frac{9}{12}\right)}{16}$$

Since \frac{10}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{1}{4}+\frac{\frac{1}{2}of\times \frac{10+9}{12}}{16}$$

Add 10 and 9 to get 19.

$$\frac{1}{4}+\frac{\frac{1}{2}of\times \frac{19}{12}}{16}$$

Multiply \frac{1}{2} times \frac{19}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{4}+\frac{\frac{1\times 19}{2\times 12}of}{16}$$

Do the multiplications in the fraction \frac{1\times 19}{2\times 12}.

$$\frac{1}{4}+\frac{\frac{19}{24}of}{16}$$

Divide \frac{19}{24}of by 16 to get \frac{19}{384}of.

$$\frac{1}{4}+\frac{19}{384}of$$

Expand

$$\frac{19fo}{384}+\frac{1}{4}$$

Solution Steps

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}+\frac{\frac{1}{2}of\left(\frac{5}{6}+\frac{3}{4}\right)}{16}$$

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{1}{4}+\frac{\frac{1}{2}of\left(\frac{10}{12}+\frac{9}{12}\right)}{16}$$

Since \frac{10}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{1}{4}+\frac{\frac{1}{2}of\times \frac{10+9}{12}}{16}$$

Add 10 and 9 to get 19.

$$\frac{1}{4}+\frac{\frac{1}{2}of\times \frac{19}{12}}{16}$$

Multiply \frac{1}{2} times \frac{19}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{4}+\frac{\frac{1\times 19}{2\times 12}of}{16}$$

Do the multiplications in the fraction \frac{1\times 19}{2\times 12}.

$$\frac{1}{4}+\frac{\frac{19}{24}of}{16}$$

Divide \frac{19}{24}of by 16 to get \frac{19}{384}of.

$$\frac{1}{4}+\frac{19}{384}of$$