Solve 4/3*3/5*4/7*9/13

$$\frac { 4 } { 3 } \cdot \frac { 3 } { 5 } \cdot \frac { 4 } { 7 } \cdot \frac { 9 } { 13 }$$

Evaluate

$$\frac{144}{455}\approx 0.316483516$$

Solution Steps

Multiply \frac{4}{3} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 3}{3\times 5}\times \frac{4}{7}\times \frac{9}{13}$$

Cancel out 3 in both numerator and denominator.

$$\frac{4}{5}\times \frac{4}{7}\times \frac{9}{13}$$

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

$$\frac{4\times 4}{5\times 7}\times \frac{9}{13}$$

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

$$\frac{16}{35}\times \frac{9}{13}$$

Multiply \frac{16}{35} times \frac{9}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 9}{35\times 13}$$

Do the multiplications in the fraction \frac{16\times 9}{35\times 13}.

$$\frac{144}{455}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2}}{5 \cdot 7 \cdot 13} = 0.31648351648351647$$