Solve 40/9/frac{2{3}}

$$\frac{ \frac{ 40 }{ 9 } }{ \frac{ 2 }{ 3 } }$$

Evaluate

$$\frac{20}{3}\approx 6.666666667$$

Solution Steps

Divide \frac{40}{9} by \frac{2}{3} by multiplying \frac{40}{9} by the reciprocal of \frac{2}{3}.

$$\frac{40}{9}\times \frac{3}{2}$$

Multiply \frac{40}{9} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{40\times 3}{9\times 2}$$

Do the multiplications in the fraction \frac{40\times 3}{9\times 2}.

$$\frac{120}{18}$$

Reduce the fraction \frac{120}{18} to lowest terms by extracting and canceling out 6.

$$\frac{20}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3} = 6\frac{2}{3} = 6.666666666666667$$