Solve 6/7div4/9

$$\frac { 6 } { 7 } \div \frac { 4 } { 9 }$$

Evaluate

$$\frac{27}{14}\approx 1.928571429$$

Solution Steps

Divide \frac{6}{7} by \frac{4}{9} by multiplying \frac{6}{7} by the reciprocal of \frac{4}{9}.

$$\frac{6}{7}\times \frac{9}{4}$$

Multiply \frac{6}{7} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 9}{7\times 4}$$

Do the multiplications in the fraction \frac{6\times 9}{7\times 4}.

$$\frac{54}{28}$$

Reduce the fraction \frac{54}{28} to lowest terms by extracting and canceling out 2.

$$\frac{27}{14}$$

Factor

$$\frac{3 ^ {3}}{2 \cdot 7} = 1\frac{13}{14} = 1.9285714285714286$$