Solve 2,4/0,15*0,075/0,12*3,6/0,12

$$\frac { 2,4 } { 0,15 } \cdot \frac { 0,075 } { 0,12 } \cdot \frac { 3,6 } { 0,12 }$$

Evaluate

$$300$$

Solution Steps

Expand \frac{2,4}{0,15} by multiplying both numerator and the denominator by 100.

$$\frac{240}{15}\times \frac{0,075}{0,12}\times \frac{3,6}{0,12}$$

Divide 240 by 15 to get 16.

$$16\times \frac{0,075}{0,12}\times \frac{3,6}{0,12}$$

Expand \frac{0,075}{0,12} by multiplying both numerator and the denominator by 1000.

$$16\times \frac{75}{120}\times \frac{3,6}{0,12}$$

Reduce the fraction \frac{75}{120} to lowest terms by extracting and canceling out 15.

$$16\times \frac{5}{8}\times \frac{3,6}{0,12}$$

Express 16\times \frac{5}{8} as a single fraction.

$$\frac{16\times 5}{8}\times \frac{3,6}{0,12}$$

Multiply 16 and 5 to get 80.

$$\frac{80}{8}\times \frac{3,6}{0,12}$$

Divide 80 by 8 to get 10.

$$10\times \frac{3,6}{0,12}$$

Expand \frac{3,6}{0,12} by multiplying both numerator and the denominator by 100.

$$10\times \frac{360}{12}$$

Divide 360 by 12 to get 30.

$$10\times 30$$

Multiply 10 and 30 to get 300.

$$300$$

Factor

$$3\times 2^{2}\times 5^{2}$$