Solve 3.9/38.22

$$3.9 / 38.22$$

Evaluate

$$\frac{429}{19000}\approx 0.022578947$$

Solution Steps

Expand \frac{3.9}{38} by multiplying both numerator and the denominator by 10.

$$\frac{39}{380}\times 0.22$$

Convert decimal number 0.22 to fraction \frac{22}{100}. Reduce the fraction \frac{22}{100} to lowest terms by extracting and canceling out 2.

$$\frac{39}{380}\times \frac{11}{50}$$

Multiply \frac{39}{380} times \frac{11}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{39\times 11}{380\times 50}$$

Do the multiplications in the fraction \frac{39\times 11}{380\times 50}.

$$\frac{429}{19000}$$

Factor

$$\frac{3 \cdot 11 \cdot 13}{19 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 0.022578947368421053$$