Solve 33/6div3/4=

$$3 \frac { 3 } { 6 } \div \frac { 3 } { 4 } =$$

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Solution Steps

Divide \frac{3\times 6+3}{6} by \frac{3}{4} by multiplying \frac{3\times 6+3}{6} by the reciprocal of \frac{3}{4}.

$$\frac{\left(3\times 6+3\right)\times 4}{6\times 3}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2\left(3+3\times 6\right)}{3\times 3}$$

Multiply 3 and 6 to get 18.

$$\frac{2\left(3+18\right)}{3\times 3}$$

Add 3 and 18 to get 21.

$$\frac{2\times 21}{3\times 3}$$

Multiply 2 and 21 to get 42.

$$\frac{42}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{42}{9}$$

Reduce the fraction \frac{42}{9} to lowest terms by extracting and canceling out 3.

$$\frac{14}{3}$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$