Solve 312/9div2/4

$$3 \frac { 12 } { 9 } \div \frac { 2 } { 4 }$$

Evaluate

$$\frac{26}{3}\approx 8.666666667$$

Solution Steps

Divide \frac{3\times 9+12}{9} by \frac{2}{4} by multiplying \frac{3\times 9+12}{9} by the reciprocal of \frac{2}{4}.

$$\frac{\left(3\times 9+12\right)\times 4}{9\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2\left(12+3\times 9\right)}{9}$$

Multiply 3 and 9 to get 27.

$$\frac{2\left(12+27\right)}{9}$$

Add 12 and 27 to get 39.

$$\frac{2\times 39}{9}$$

Multiply 2 and 39 to get 78.

$$\frac{78}{9}$$

Reduce the fraction \frac{78}{9} to lowest terms by extracting and canceling out 3.

$$\frac{26}{3}$$

Factor

$$\frac{2 \cdot 13}{3} = 8\frac{2}{3} = 8.666666666666666$$