Solve 1/12*2/3div16/21

$$\frac { 1 } { 12 } \cdot \frac { 2 } { 3 } \div \frac { 16 } { 21 }$$

Evaluate

$$\frac{7}{96}\approx 0.072916667$$

Solution Steps

Multiply \frac{1}{12} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 2}{12\times 3}}{\frac{16}{21}}$$

Do the multiplications in the fraction \frac{1\times 2}{12\times 3}.

$$\frac{\frac{2}{36}}{\frac{16}{21}}$$

Reduce the fraction \frac{2}{36} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{18}}{\frac{16}{21}}$$

Divide \frac{1}{18} by \frac{16}{21} by multiplying \frac{1}{18} by the reciprocal of \frac{16}{21}.

$$\frac{1}{18}\times \frac{21}{16}$$

Multiply \frac{1}{18} times \frac{21}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 21}{18\times 16}$$

Do the multiplications in the fraction \frac{1\times 21}{18\times 16}.

$$\frac{21}{288}$$

Reduce the fraction \frac{21}{288} to lowest terms by extracting and canceling out 3.

$$\frac{7}{96}$$

Factor

$$\frac{7}{2 ^ {5} \cdot 3} = 0.07291666666666667$$