Solve 16/9:31/3

$$\frac { 16 } { 9 } : 3 \frac { 1 } { 3 }$$

Evaluate

$$\frac{8}{15}\approx 0.533333333$$

Solution Steps

Divide \frac{16}{9} by \frac{3\times 3+1}{3} by multiplying \frac{16}{9} by the reciprocal of \frac{3\times 3+1}{3}.

$$\frac{16\times 3}{9\left(3\times 3+1\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{16}{3\left(1+3\times 3\right)}$$

Multiply 3 and 3 to get 9.

$$\frac{16}{3\left(1+9\right)}$$

Add 1 and 9 to get 10.

$$\frac{16}{3\times 10}$$

Multiply 3 and 10 to get 30.

$$\frac{16}{30}$$

Reduce the fraction \frac{16}{30} to lowest terms by extracting and canceling out 2.

$$\frac{8}{15}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 5} = 0.5333333333333333$$