Solve 5/6div7/9

$$\frac { 5 } { 6 } \div \frac { 7 } { 9 }$$

Evaluate

$$\frac{15}{14}\approx 1.071428571$$

Solution Steps

Divide \frac{5}{6} by \frac{7}{9} by multiplying \frac{5}{6} by the reciprocal of \frac{7}{9}.

$$\frac{5}{6}\times \frac{9}{7}$$

Multiply \frac{5}{6} times \frac{9}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 9}{6\times 7}$$

Do the multiplications in the fraction \frac{5\times 9}{6\times 7}.

$$\frac{45}{42}$$

Reduce the fraction \frac{45}{42} to lowest terms by extracting and canceling out 3.

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

Factor

$$\frac{3 \cdot 5}{2 \cdot 7} = 1\frac{1}{14} = 1.0714285714285714$$