Solve (3/2*4)(5/12*3):3

$$( \frac { 3 } { 2 } \cdot 4 ) ( \frac { 5 } { 12 } \cdot 3 ) : 3$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Cancel out 3 and 3.

$$\frac{3}{2}\times 4\times \frac{5}{12}$$

Express \frac{3}{2}\times 4 as a single fraction.

$$\frac{3\times 4}{2}\times \frac{5}{12}$$

Multiply 3 and 4 to get 12.

$$\frac{12}{2}\times \frac{5}{12}$$

Divide 12 by 2 to get 6.

$$6\times \frac{5}{12}$$

Express 6\times \frac{5}{12} as a single fraction.

$$\frac{6\times 5}{12}$$

Multiply 6 and 5 to get 30.

$$\frac{30}{12}$$

Reduce the fraction \frac{30}{12} to lowest terms by extracting and canceling out 6.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$