Solve 3(1/6div2/3)

$$3 ( \frac { 1 } { 6 } \div \frac { 2 } { 3 } )$$

Evaluate

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

Solution Steps

Divide \frac{1}{6} by \frac{2}{3} by multiplying \frac{1}{6} by the reciprocal of \frac{2}{3}.

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

Multiply \frac{1}{6} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 3}{6\times 2}.

$$3\times \frac{3}{12}$$

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

$$3\times \frac{1}{4}$$

Multiply 3 and \frac{1}{4} to get \frac{3}{4}.

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

Factor

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