Solve 2/3:6/4/frac{7{2}}

$$\frac { \frac { 2 } { 3 } : \frac { 6 } { 4 } } { \frac { 7 } { 2 } }$$

Evaluate

$$\frac{8}{63}\approx 0.126984127$$

Solution Steps

Divide \frac{\frac{2}{3}}{\frac{6}{4}} by \frac{7}{2} by multiplying \frac{\frac{2}{3}}{\frac{6}{4}} by the reciprocal of \frac{7}{2}.

$$\frac{\frac{2}{3}\times 2}{\frac{6}{4}\times 7}$$

Express \frac{2}{3}\times 2 as a single fraction.

$$\frac{\frac{2\times 2}{3}}{\frac{6}{4}\times 7}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{4}{3}}{\frac{6}{4}\times 7}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{4}{3}}{\frac{3}{2}\times 7}$$

Express \frac{3}{2}\times 7 as a single fraction.

$$\frac{\frac{4}{3}}{\frac{3\times 7}{2}}$$

Multiply 3 and 7 to get 21.

$$\frac{\frac{4}{3}}{\frac{21}{2}}$$

Divide \frac{4}{3} by \frac{21}{2} by multiplying \frac{4}{3} by the reciprocal of \frac{21}{2}.

$$\frac{4}{3}\times \frac{2}{21}$$

Multiply \frac{4}{3} times \frac{2}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 2}{3\times 21}$$

Do the multiplications in the fraction \frac{4\times 2}{3\times 21}.

$$\frac{8}{63}$$

Factor

$$\frac{2 ^ {3}}{3 ^ {2} \cdot 7} = 0.12698412698412698$$