But, once again, while they look different they simply express the same values through different representations. For example, did you know, however, that there is a method of telling time known as the decimal method? When we look at the clock - even a digital clock - we are looking at fractions based on 24 hours in the day. Actually 12 hours but we realize that the same time slots are repeated during AM or PM The decimal system, however, bases its ability to tell time on using decimals and the power of ten.
This is commonly called military time and is ranges from to hours. Both methods are designed to express the passage of 24 hours and both do so accurately. Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. Step 3: Simplify to the reduced form. Step 1: Multiply the decimal by or simply shift the decimal point 2 steps towards the right and attach a percent sign.
Step 2: Remove the denominator and place the decimal point in the numerator by 2 places to the left. This blog mainly talks about the relationship between Decimals, Fractions, and Percentages and a few examples Problems on each conversion. It is important to know this because we will use in daily life as well. We use decimals every day while dealing with money, weight, length, etc. Percentages are used widely and in many different areas. For example, discounts in shops, bank interest rates, rates of inflation, and many statistics in the media are expressed as percentages.
Cuemath, a student-friendly mathematics platform, conducts regular Online Live Classes for academics and skill-development, and their Mental Math App, on both iOS and Android , is a one-stop solution for kids to develop multiple skills.
Understand the Cuemath Fee structure and sign up for a free trial. Percentages are useful in practice because it allows one to compare things that are not out of the same number.
For example, exam marks are often percentages, which can compare them even if there are more questions on one exam paper than the other. Fractions will determine how much you actually take home.
If you know fractions, adding your money is quick and easy. The main advantages of the Decimal Number System are easy to readable, used by humans, and easy to manipulate. However, there are some disadvantages, like wastage of space and time. To know more please click the link below:. Decimals, Fractions and Percentages. Math Concepts. Table of Contents 1.
Introduction 2. Examples on Decimal to fractions 3. Examples on fractions to Decimal 4. Examples on fractions to Percentages 5. Examples on Percentages to Fractions 6. Examples on Decimals to Percentages 7. Examples on Percentages to Decimals 8. Conclusion 9. Learning how to convert fractions, decimals, and percents will also help you as you learn more advanced math. Every fraction can also be written as a decimal, and vice versa. You may not do this very often, but converting decimals and fractions can help you in math.
Let's convert a fraction into a decimal. We'll be using a math skill you've already learned: long division. To refresh your memory on this skill, you can review our Long Division lesson. In our example, we'll divide 1 by 4. To keep dividing, we'll add a decimal point and a zero after the 1. So we'll subtract 8 from Since 2 is greater than 0 , we're not finished dividing yet. We'll add another 0 after the decimal point and bring it down. Now we'll multiply. When we subtract 20 from 20 , we get 0.
The 0 means we're done dividing. We're going to rewrite 0. To convert a decimal into a fraction, we'll use place values. In decimals, the number immediately to the right of the decimal point is in the tenths place.
This means our decimal is equal to 85 hundredths. Now we have our fraction. But it's always a good idea to reduce fractions when we can—it makes them easier to read.
To reduce, we need to find the largest number that will go evenly into both 85 and Now you get a chance to work some problems. You may use a calculator if you would like. Study each of these problems carefully; you will see similar problems on the lesson knowledge check.
Select the following link to complete the practice activity. You will need to get out a piece of paper and a pencil to complete the practice problems. Converting between Fractions, Decimals, and Percents. Once you complete the practice activity, check to see how well you did by selecting the following link:.
Solutions: Converting between Fractions, Decimals, and Percents. Percents are a common way to represent decimal or fractional amounts. Any number that can be written as a decimal, fraction, or percent can also be written using the other two representations. Now that you have finished Lesson 1 in this module, you are encouraged to conduct additional research into how these topics pertain to your particular area of study within the IT world. You probably don't have to look much farther than your computer screen.
Most computers have the ability to zoom in or out. This zoom feature is typically characterized with a percentage.
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