Converting fractions to decimals is a pretty simple process, but it can trip people up if they don’t know how to do it. In this blog post, we’ll show you how to convert fractions to decimals in a few easy steps. Whether you’re a math student or just need to brush up on your skills, this guide will have you converting fractions like a pro in no time!
What is a Fraction?
A fraction is a number that represents a part of a whole. The whole is divided into equal parts, and the fraction represents a specific number of those parts. For example, if the whole is divided into four equal parts, then 1/4 would represent one of those parts.
Fractions can be written in several different ways. The most common way to write a fraction is with a slash (/), like this: 1/4. This reads as “one fourth” or “one over four.”
Another way to write fractions is with the word “over.” For example, you could write 1/4 as “one over four.” This means the same thing as 1/4, but it can be easier to read and understand fractions written this way.
You can also use mixed numbers to write fractions. A mixed number is a combination of a whole number and a fraction. For example, if you have two and one half pieces of candy, you could write this as 2 1/2 or 2 + 1/2. Mixed numbers are helpful when you’re working with larger fractions because they make it easier to keep track of everything.
When you’re working with fractions, you’ll often need to convert them to decimals (or vice versa). To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). So, if we want to convert 1/4 to a decimal, we would divide
What is a Decimal?
A decimal is a number in base 10. It consists of a whole number and a fraction. The fraction has a denominator of 10, 100, 1000, or some other power of 10. There are ten digits in the decimal system: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Each digit has a value depending on its position in the number.
How to Convert a Fraction to a Decimal
To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number).
For example, if we have the fraction ¾, we divide 3 by 4 to get the decimal .75 on a calculator. We could also do this long division:
We bring down the 3 and divide it by 4. We get 0 with a remainder of 3, so we write .03 next to our decimal point and keep going:
We bring down the 1 and divide it by 4. We get 0 with a remainder of 1, so we write .01 next to our decimal point and keep going:
We bring down the 0 and divide it by 4. We get 0 with a remainder of 0, so we write .00 next to our decimal point and stop:
So ¾ = .75
Examples
To convert a fraction to a decimal, divide the numerator by the denominator.
For example, if someone has the fraction ¾, they would divide 3 by 4 to get the decimal .75 on a calculator. Another way to think of it is that 3/4 is equal to 75%.
If someone plugs in the mixed number 1½ into a calculator, they would first convert it to an improper fraction (3/2) before dividing the numerator (3) by the denominator (2). This would give them the decimal 1.5 on the calculator.
Conclusion
Converting fractions to decimals is a fundamental math skill that you’ll use in many different situations. By understanding the relationship between fractions and decimals, you can make the conversion process much easier. We hope that our guide has helped you understand how to convert fractions to decimals so that you can approach this topic with confidence.
