Solve 3/2:1/3*1/3*1/2-frac{1}{3}+frac{2}{6}=

$$\frac { 3 } { 2 } : \frac { 1 } { 3 } \times \frac { 1 } { 3 } \times \frac { 1 } { 2 } - \frac { 1 } { 3 } + \frac { 2 } { 6 } =$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

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

$$\frac{3}{2}\times 3\times \frac{1}{3}\times \frac{1}{2}-\frac{1}{3}+\frac{2}{6}$$

Express \frac{3}{2}\times 3 as a single fraction.

$$\frac{3\times 3}{2}\times \frac{1}{3}\times \frac{1}{2}-\frac{1}{3}+\frac{2}{6}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{2}\times \frac{1}{3}\times \frac{1}{2}-\frac{1}{3}+\frac{2}{6}$$

Multiply \frac{9}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 1}{2\times 3}\times \frac{1}{2}-\frac{1}{3}+\frac{2}{6}$$

Do the multiplications in the fraction \frac{9\times 1}{2\times 3}.

$$\frac{9}{6}\times \frac{1}{2}-\frac{1}{3}+\frac{2}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{3}{2}\times \frac{1}{2}-\frac{1}{3}+\frac{2}{6}$$

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

$$\frac{3\times 1}{2\times 2}-\frac{1}{3}+\frac{2}{6}$$

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

$$\frac{3}{4}-\frac{1}{3}+\frac{2}{6}$$

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{9}{12}-\frac{4}{12}+\frac{2}{6}$$

Since \frac{9}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-4}{12}+\frac{2}{6}$$

Subtract 4 from 9 to get 5.

$$\frac{5}{12}+\frac{2}{6}$$

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

$$\frac{5}{12}+\frac{1}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{5}{12} and \frac{1}{3} to fractions with denominator 12.

$$\frac{5}{12}+\frac{4}{12}$$

Since \frac{5}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{12}$$

Add 5 and 4 to get 9.

$$\frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

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

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$