Solve 2/3/frac{4{5}}=

$$\frac { \frac { 2 } { 3 } } { \frac { 4 } { 5 } } =$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Divide \frac{2}{3} by \frac{4}{5} by multiplying \frac{2}{3} by the reciprocal of \frac{4}{5}.

$$\frac{2}{3}\times \frac{5}{4}$$

Multiply \frac{2}{3} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{3\times 4}$$

Do the multiplications in the fraction \frac{2\times 5}{3\times 4}.

$$\frac{10}{12}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$