Solve 31/2:4/9

$$3 \frac { 1 } { 2 } : \frac { 4 } { 9 }$$

Evaluate

$$\frac{63}{8}=7.875$$

Solution Steps

Divide \frac{3\times 2+1}{2} by \frac{4}{9} by multiplying \frac{3\times 2+1}{2} by the reciprocal of \frac{4}{9}.

$$\frac{\left(3\times 2+1\right)\times 9}{2\times 4}$$

Multiply 3 and 2 to get 6.

$$\frac{\left(6+1\right)\times 9}{2\times 4}$$

Add 6 and 1 to get 7.

$$\frac{7\times 9}{2\times 4}$$

Multiply 7 and 9 to get 63.

$$\frac{63}{2\times 4}$$

Multiply 2 and 4 to get 8.

$$\frac{63}{8}$$

Factor

$$\frac{3 ^ {2} \cdot 7}{2 ^ {3}} = 7\frac{7}{8} = 7.875$$