# How to Represent 0.25 as a Fraction: Steps & Tutorial

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Coming up next: How to Divide Fractions: Whole & Mixed Numbers

### You're on a roll. Keep up the good work!

Replay
Your next lesson will play in 10 seconds
• 0:00 Steps for Solving the Problem
• 2:59 Solution
Save Save

Want to watch this again later?

Timeline
Autoplay
Autoplay
Speed Speed

#### Recommended Lessons and Courses for You

Lesson Transcript
Instructor: Thomas Higginbotham

Tom has taught math / science at secondary & post-secondary, and a K-12 school administrator. He has a B.S. in Biology and a PhD in Curriculum & Instruction.

Knowing how to move from one form of equivalent number to another can often be helpful to make calculations easier. In this lesson, learn how to represent a decimal as a fraction.

## Steps for Solving the Problem

When we were younger, it seemed like the only limit to the number of different ways our teachers had for us to represent equivalent values was the number of days in the school year. Fractions, decimals, scientific notation, proportions, etc. However, it's useful to be able to move from one form to another. For example, how many times have you moved back and forth between fractions and decimals when putting recipes together, since cups and teaspoons are in fractions (for example, ¼ cup, 1/3 cup and ½ cup)? Making that conversion is simpler than you might think, and requires only some basic math skills.

First, let's look at what decimals are. Decimals such as 0.7, 0.25, and even 6.41 are ways to represent values that are not whole numbers. Because the world doesn't always exist in whole numbers (for example, most people are not either 5.0 or 6.0 feet tall), this is a normal everyday requirement in dealing with numbers.

The number of digits you find in the decimal to the right of the decimal point tells you how specific the decimal is. One decimal point (0.7) is tenths, two decimal points (0.25) is hundredths, three decimal points (0.832) is thousandths, and so on (ten-thousandths, hundred-thousandths, millionths, etc.). Knowing this becomes important when converting decimals to fractions, as we will see.

In the case of 0.25, since we know the decimal represents hundredths, we can say it is 25 hundredths. Fraction-wise, this looks like:

However, the process can be made even simpler. Remember, the goal here is to come up with the fraction that is equal to the decimal value.

Three other nuggets of information are important here:

1. Any number divided by one is equal to itself (for example, 0.25/1 = .25).
2. Any number divided by itself equals 1 (for example, 735 / 735 = 1).
3. Any number multiplied by one is equal to itself (for example, 17 x (735/735) = 17).

To unlock this lesson you must be a Study.com Member.

### Register to view this lesson

Are you a student or a teacher?

#### See for yourself why 30 million people use Study.com

##### Become a Study.com member and start learning now.
Back
What teachers are saying about Study.com

### Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.