Solve 85/12div3/2

$$\frac { 85 } { 12 } \div \frac { 3 } { 2 }$$

Evaluate

$$\frac{85}{18}\approx 4.722222222$$

Solution Steps

Divide \frac{85}{12} by \frac{3}{2} by multiplying \frac{85}{12} by the reciprocal of \frac{3}{2}.

$$\frac{85}{12}\times \frac{2}{3}$$

Multiply \frac{85}{12} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{85\times 2}{12\times 3}$$

Do the multiplications in the fraction \frac{85\times 2}{12\times 3}.

$$\frac{170}{36}$$

Reduce the fraction \frac{170}{36} to lowest terms by extracting and canceling out 2.

$$\frac{85}{18}$$

Factor

$$\frac{5 \cdot 17}{2 \cdot 3 ^ {2}} = 4\frac{13}{18} = 4.722222222222222$$