Solve 4/5div6/7

$$\frac { 4 } { 5 } \div \frac { 6 } { 7 }$$

Evaluate

$$\frac{14}{15}\approx 0.933333333$$

Solution Steps

Divide \frac{4}{5} by \frac{6}{7} by multiplying \frac{4}{5} by the reciprocal of \frac{6}{7}.

$$\frac{4}{5}\times \frac{7}{6}$$

Multiply \frac{4}{5} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 7}{5\times 6}$$

Do the multiplications in the fraction \frac{4\times 7}{5\times 6}.

$$\frac{28}{30}$$

Reduce the fraction \frac{28}{30} to lowest terms by extracting and canceling out 2.

$$\frac{14}{15}$$

Factor

$$\frac{2 \cdot 7}{3 \cdot 5} = 0.9333333333333333$$