Solve 1/2div3/16-1/6*3-5/6

$$\frac { 1 } { 2 } \div \frac { 3 } { 16 } - \frac { 1 } { 6 } \cdot 3 - \frac { 5 } { 6 }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Divide \frac{1}{2} by \frac{3}{16} by multiplying \frac{1}{2} by the reciprocal of \frac{3}{16}.

$$\frac{1}{2}\times \frac{16}{3}-\frac{1}{6}\times 3-\frac{5}{6}$$

Multiply \frac{1}{2} times \frac{16}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 16}{2\times 3}-\frac{1}{6}\times 3-\frac{5}{6}$$

Do the multiplications in the fraction \frac{1\times 16}{2\times 3}.

$$\frac{16}{6}-\frac{1}{6}\times 3-\frac{5}{6}$$

Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.

$$\frac{8}{3}-\frac{1}{6}\times 3-\frac{5}{6}$$

Multiply \frac{1}{6} and 3 to get \frac{3}{6}.

$$\frac{8}{3}-\frac{3}{6}-\frac{5}{6}$$

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

$$\frac{8}{3}-\frac{1}{2}-\frac{5}{6}$$

Least common multiple of 3 and 2 is 6. Convert \frac{8}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{16}{6}-\frac{3}{6}-\frac{5}{6}$$

Since \frac{16}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-3}{6}-\frac{5}{6}$$

Subtract 3 from 16 to get 13.

$$\frac{13}{6}-\frac{5}{6}$$

Since \frac{13}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-5}{6}$$

Subtract 5 from 13 to get 8.

$$\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$