Convert 0.1 to Fraction: Step-by-Step Decimal Transformation

Question

Convert 0.1 into a fraction.

Video Solution

Solution Steps

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 decimal point once to the right, so we'll add one 0 to the denominator
00:12 Write the digits in the numerator
00:15 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll convert the decimal 0.1 into a fraction:

  • Step 1: Recognize that in the decimal 0.1, the digit "1" is in the tenths place.
  • Step 2: Convert 0.1 directly into a fraction by placing 1 over 10. This is because 0.1 means 1 part out of 10, i.e., 110\frac{1}{10}.

Now, let's consider the problem:

Step 1: Observe the decimal 0.1. The "1" is in the tenths place, which means it represents one-tenth.
Step 2: Hence, as a fraction, 0.1 is 110\frac{1}{10} since there is one digit after the decimal point, implying a denominator of 10.

Therefore, the correct answer to converting 0.1 into a fraction is 110\frac{1}{10}.

Answer

110 \frac{1}{10}