1. **State the problem:** Calculate the value of $x$ given by the expression $x = \frac{39}{0.02}$.\n\n2. **Formula and rules:** Division of a number by a decimal can be simplified by converting the decimal to a whole number. This is done by multiplying numerator and denominator by the same power of 10.\n\n3. **Intermediate work:**\nMultiply numerator and denominator by 100 to eliminate the decimal in the denominator:\n$$x = \frac{39}{0.02} = \frac{39 \times 100}{0.02 \times 100} = \frac{3900}{2}$$\n\n4. **Simplify the fraction:**\n$$x = \frac{3900}{2} = 1950$$\n\n5. **Final answer:**\n$$x = 1950$$\n\nThis means dividing 39 by 0.02 is equivalent to multiplying 39 by 50, resulting in 1950.
Division Decimal
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.