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

Question

Convert 0.0157 into a fraction.

00:00 Convert to a simple fraction

00:03 Move the decimal point right until the number is whole

00:06 In a decimal fraction, the denominator is necessarily some multiple of 10 and 10

00:12 Move the point 4 times to the right

00:18 Therefore we'll add four zeros to the denominator

00:27 Place the digits in the numerator

00:35 And this is the solution to the question

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 $\frac{157}{10000}$ .

$\frac{157}{10000}$