Solve 1/3*7/14/frac{8{21}}

$$\frac { \frac { 1 } { 3 } \times \frac { 7 } { 14 } } { \frac { 8 } { 21 } }$$

Evaluate

$$\frac{7}{16}=0.4375$$

Solution Steps

Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.

$$\frac{\frac{1}{3}\times \frac{1}{2}}{\frac{8}{21}}$$

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

$$\frac{\frac{1\times 1}{3\times 2}}{\frac{8}{21}}$$

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

$$\frac{\frac{1}{6}}{\frac{8}{21}}$$

Divide \frac{1}{6} by \frac{8}{21} by multiplying \frac{1}{6} by the reciprocal of \frac{8}{21}.

$$\frac{1}{6}\times \frac{21}{8}$$

Multiply \frac{1}{6} times \frac{21}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 21}{6\times 8}$$

Do the multiplications in the fraction \frac{1\times 21}{6\times 8}.

$$\frac{21}{48}$$

Reduce the fraction \frac{21}{48} to lowest terms by extracting and canceling out 3.

$$\frac{7}{16}$$

Factor

$$\frac{7}{2 ^ {4}} = 0.4375$$