Convert 0.27 to Fraction: Step-by-Step Decimal Conversion

Question

Convert 0.27 into a fraction.

00:03 First, let's convert the decimal to a simple fraction.

00:07 Move the decimal point to the right until the number becomes whole.

00:12 For decimal fractions, the denominator should be a power of ten.

00:17 We moved the point two places right, so our denominator is one hundred.

00:22 Now, write the digits without the decimal in the numerator.

00:27 And that's how we solve this problem!

To convert the decimal 0.27 into a fraction, follow these steps:

Step 1: Identify the number of decimal places in 0.27. There are two decimal places.
Step 2: Use a denominator of 100, since 10 to the power of 2 (the number of decimal places) is 100.
Step 3: Write the number without the decimal point as the numerator: 27.
Step 4: Write the fraction: $\frac{27}{100}$ .
Step 5: Check if the fraction can be simplified. In this case, 27 and 100 have no common factors other than 1, so the fraction $\frac{27}{100}$ is already in its simplest form.

Therefore, the decimal 0.27 as a fraction is $\frac{27}{100}$ .

$\frac{27}{100}$