Solve 12/13*2/3*5/7*1/10*frac{4}{13}=

$$\frac { 12 } { 13 } \times \frac { 2 } { 3 } \times \frac { 5 } { 7 } \times \frac { 1 } { 10 } \times \frac { 4 } { 13 } =$$

Evaluate

$$\frac{16}{1183}\approx 0.013524937$$

Solution Steps

Multiply \frac{12}{13} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 2}{13\times 3}\times \frac{5}{7}\times \frac{1}{10}\times \frac{4}{13}$$

Do the multiplications in the fraction \frac{12\times 2}{13\times 3}.

$$\frac{24}{39}\times \frac{5}{7}\times \frac{1}{10}\times \frac{4}{13}$$

Reduce the fraction \frac{24}{39} to lowest terms by extracting and canceling out 3.

$$\frac{8}{13}\times \frac{5}{7}\times \frac{1}{10}\times \frac{4}{13}$$

Multiply \frac{8}{13} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 5}{13\times 7}\times \frac{1}{10}\times \frac{4}{13}$$

Do the multiplications in the fraction \frac{8\times 5}{13\times 7}.

$$\frac{40}{91}\times \frac{1}{10}\times \frac{4}{13}$$

Multiply \frac{40}{91} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{40\times 1}{91\times 10}\times \frac{4}{13}$$

Do the multiplications in the fraction \frac{40\times 1}{91\times 10}.

$$\frac{40}{910}\times \frac{4}{13}$$

Reduce the fraction \frac{40}{910} to lowest terms by extracting and canceling out 10.

$$\frac{4}{91}\times \frac{4}{13}$$

Multiply \frac{4}{91} times \frac{4}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 4}{91\times 13}$$

Do the multiplications in the fraction \frac{4\times 4}{91\times 13}.

$$\frac{16}{1183}$$

Factor

$$\frac{2 ^ {4}}{7 \cdot 13 ^ {2}} = 0.013524936601859678$$