Solve 4/9*2/5*32/7

$$\frac { 4 } { 9 } \times \frac { 2 } { 5 } \times 3 \frac { 2 } { 7 }$$

Evaluate

$$\frac{184}{315}\approx 0.584126984$$

Solution Steps

Multiply \frac{4}{9} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 2}{9\times 5}\times \frac{3\times 7+2}{7}$$

Do the multiplications in the fraction \frac{4\times 2}{9\times 5}.

$$\frac{8}{45}\times \frac{3\times 7+2}{7}$$

Multiply 3 and 7 to get 21.

$$\frac{8}{45}\times \frac{21+2}{7}$$

Add 21 and 2 to get 23.

$$\frac{8}{45}\times \frac{23}{7}$$

Multiply \frac{8}{45} times \frac{23}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 23}{45\times 7}$$

Do the multiplications in the fraction \frac{8\times 23}{45\times 7}.

$$\frac{184}{315}$$

Factor

$$\frac{2 ^ {3} \cdot 23}{3 ^ {2} \cdot 5 \cdot 7} = 0.5841269841269842$$