Solve 4/10*4/7*14/9=

$$\frac { 4 } { 10 } \cdot \frac { 4 } { 7 } \cdot \frac { 14 } { 9 } =$$

Evaluate

$$\frac{16}{45}\approx 0.355555556$$

Solution Steps

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\times \frac{4}{7}\times \frac{14}{9}$$

Multiply \frac{2}{5} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 4}{5\times 7}\times \frac{14}{9}$$

Do the multiplications in the fraction \frac{2\times 4}{5\times 7}.

$$\frac{8}{35}\times \frac{14}{9}$$

Multiply \frac{8}{35} times \frac{14}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 14}{35\times 9}$$

Do the multiplications in the fraction \frac{8\times 14}{35\times 9}.

$$\frac{112}{315}$$

Reduce the fraction \frac{112}{315} to lowest terms by extracting and canceling out 7.

$$\frac{16}{45}$$

Factor

$$\frac{2 ^ {4}}{3 ^ {2} \cdot 5} = 0.35555555555555557$$