Convert 0.0157 to a Fraction: Step-by-Step Decimal Transformation

To solve the problem of converting the decimal 0.0157 into a fraction, follow these steps:

• Step 1: Identify the Decimal Places
  The decimal number 0.0157 has four decimal places.
• Step 2: Convert to a Fraction
  A decimal with four decimal places can be expressed as a fraction over 10,000. Therefore, 0.0157 is $\frac{157}{10000}$. This arises because 0.0157 is $\frac{157}{10000}$ when directly considering its placement over 10000 as a power of ten.
• Step 3: Simplification (if applicable)
  In this case, $\frac{157}{10000}$ is already in its simplest form since 157 and 10000 have no common factors other than 1.

Therefore, the fractional representation of the decimal 0.0157 is $\frac{157}{10000}$.