Solve 0.036/0.6*2.35/0.05*1/6

$$\frac{ 0.036 }{ 0.6 } \times \frac{ 2.35 }{ 0.05 } \times \frac{ 1 }{ 6 }$$

Evaluate

$$0.47$$

Solution Steps

Expand \frac{0.036}{0.6} by multiplying both numerator and the denominator by 1000.

$$\frac{36}{600}\times \frac{2.35}{0.05}\times \frac{1}{6}$$

Reduce the fraction \frac{36}{600} to lowest terms by extracting and canceling out 12.

$$\frac{3}{50}\times \frac{2.35}{0.05}\times \frac{1}{6}$$

Expand \frac{2.35}{0.05} by multiplying both numerator and the denominator by 100.

$$\frac{3}{50}\times \frac{235}{5}\times \frac{1}{6}$$

Divide 235 by 5 to get 47.

$$\frac{3}{50}\times 47\times \frac{1}{6}$$

Express \frac{3}{50}\times 47 as a single fraction.

$$\frac{3\times 47}{50}\times \frac{1}{6}$$

Multiply 3 and 47 to get 141.

$$\frac{141}{50}\times \frac{1}{6}$$

Multiply \frac{141}{50} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{141\times 1}{50\times 6}$$

Do the multiplications in the fraction \frac{141\times 1}{50\times 6}.

$$\frac{141}{300}$$

Reduce the fraction \frac{141}{300} to lowest terms by extracting and canceling out 3.

$$\frac{47}{100}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 5 ^ {2}} = 0.47$$