Solve 0.05*120*0.004125/0.00467

$$0.05 \times \frac { 120 \times 0.004125 } { 0.00467 }$$

Evaluate

$$\frac{2475}{467}\approx 5.299785867$$

Solution Steps

Multiply 120 and 0.004125 to get 0.495.

$$0.05\times \frac{0.495}{0.00467}$$

Expand \frac{0.495}{0.00467} by multiplying both numerator and the denominator by 100000.

$$0.05\times \frac{49500}{467}$$

Convert decimal number 0.05 to fraction \frac{5}{100}. Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{1}{20}\times \frac{49500}{467}$$

Multiply \frac{1}{20} times \frac{49500}{467} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 49500}{20\times 467}$$

Do the multiplications in the fraction \frac{1\times 49500}{20\times 467}.

$$\frac{49500}{9340}$$

Reduce the fraction \frac{49500}{9340} to lowest terms by extracting and canceling out 20.

$$\frac{2475}{467}$$

Factor

$$\frac{11 \cdot 3 ^ {2} \cdot 5 ^ {2}}{467} = 5\frac{140}{467} = 5.299785867237687$$