Solve 3/4div9/10

$$\frac { 3 } { 4 } \div \frac { 9 } { 10 }$$

Evaluate

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

Solution Steps

Divide \frac{3}{4} by \frac{9}{10} by multiplying \frac{3}{4} by the reciprocal of \frac{9}{10}.

$$\frac{3}{4}\times \frac{10}{9}$$

Multiply \frac{3}{4} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 10}{4\times 9}$$

Do the multiplications in the fraction \frac{3\times 10}{4\times 9}.

$$\frac{30}{36}$$

Reduce the fraction \frac{30}{36} to lowest terms by extracting and canceling out 6.

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

Factor

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