Solve 1div2/3*3/2

$$1 \div \frac { 2 } { 3 } \times \frac { 3 } { 2 }$$

Evaluate

$$\frac{9}{4}=2.25$$

Solution Steps

Divide 1 by \frac{2}{3} by multiplying 1 by the reciprocal of \frac{2}{3}.

$$1\times \frac{3}{2}\times \frac{3}{2}$$

Multiply 1 and \frac{3}{2} to get \frac{3}{2}.

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

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

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

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

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$