Solve 1/2*3/4div1/3

$$\frac { 1 } { 2 } \times \frac { 3 } { 4 } \div \frac { 1 } { 3 }$$

Evaluate

$$\frac{9}{8}=1.125$$

Solution Steps

Multiply \frac{1}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 3}{2\times 4}}{\frac{1}{3}}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 4}.

$$\frac{\frac{3}{8}}{\frac{1}{3}}$$

Divide \frac{3}{8} by \frac{1}{3} by multiplying \frac{3}{8} by the reciprocal of \frac{1}{3}.

$$\frac{3}{8}\times 3$$

Express \frac{3}{8}\times 3 as a single fraction.

$$\frac{3\times 3}{8}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{8}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125$$