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

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

Evaluate

$$\frac{512}{15}\approx 34.133333333$$

Solution Steps

Express \frac{\frac{32\times 4}{\frac{5}{12}\times 3}}{3} as a single fraction.

$$\frac{32\times 4}{\frac{5}{12}\times 3\times 3}$$

Multiply 32 and 4 to get 128.

$$\frac{128}{\frac{5}{12}\times 3\times 3}$$

Express \frac{5}{12}\times 3 as a single fraction.

$$\frac{128}{\frac{5\times 3}{12}\times 3}$$

Multiply 5 and 3 to get 15.

$$\frac{128}{\frac{15}{12}\times 3}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{128}{\frac{5}{4}\times 3}$$

Express \frac{5}{4}\times 3 as a single fraction.

$$\frac{128}{\frac{5\times 3}{4}}$$

Multiply 5 and 3 to get 15.

$$\frac{128}{\frac{15}{4}}$$

Divide 128 by \frac{15}{4} by multiplying 128 by the reciprocal of \frac{15}{4}.

$$128\times \frac{4}{15}$$

Express 128\times \frac{4}{15} as a single fraction.

$$\frac{128\times 4}{15}$$

Multiply 128 and 4 to get 512.

$$\frac{512}{15}$$

Factor

$$\frac{2 ^ {9}}{3 \cdot 5} = 34\frac{2}{15} = 34.13333333333333$$