Convert Decimal to Fraction: Expressing 0.15 as a Simplified Fraction

Question

Convert 0.15 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 must be some multiple of 10 by 10

00:09 We moved the point 2 places right, so we'll add 2 zeros to the denominator

00:12 Write the digits in the numerator

00:15 And this is the solution to the question

To convert the decimal 0.15 into a fraction, we will follow these steps:

Step 1: Identify the decimal places
The number 0.15 has two decimal places.
Step 2: Express the decimal as a fraction with a denominator of a power of 10
Since there are two decimal places, we write 0.15 as $\frac{15}{100}$ .
Step 3: Compare with given choices
Among the provided choices, $\frac{15}{100}$ matches the initial conversion of the decimal without simplification.

Therefore, the solution to the problem in the context of the choices provided is $\frac{15}{100}$ .

$\frac{15}{100}$