Solve 3/4:5/6=

$$\frac { 3 } { 4 } : \frac { 5 } { 6 } =$$

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Divide \frac{3}{4} by \frac{5}{6} by multiplying \frac{3}{4} by the reciprocal of \frac{5}{6}.

$$\frac{3}{4}\times \frac{6}{5}$$

Multiply \frac{3}{4} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 6}{4\times 5}$$

Do the multiplications in the fraction \frac{3\times 6}{4\times 5}.

$$\frac{18}{20}$$

Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$