Convert Fraction to Decimal: Solving 4/25 Step-by-Step

Convert $\frac{4}{25}$ into a decimal.

To convert $\frac{4}{25}$ into a decimal, we can make the denominator a power of 10. Follow these steps:

• Step 1: Determine the conversion factor needed to change the denominator (25) to 100. Since $25 \times 4 = 100$, the conversion factor is 4.
• Step 2: Multiply both the numerator and the denominator of the fraction by this conversion factor.
  $\frac{4 \times 4}{25 \times 4} = \frac{16}{100}$
• Step 3: Convert the fraction $\frac{16}{100}$ directly into a decimal. Since 100 is the base of the decimal system, $\frac{16}{100} = 0.16$.

Therefore, the decimal representation of $\frac{4}{25}$ is 0.16.