## Fraction to Percent Conversion Summary

We encourage you to check out our introduction to percentage page for a little recap of what percentage is. You can also learn about fractions in our fractions section of the website. Sometimes, you may want to express a fraction in the form of a percentage, or vice-versa. This page will cover the former case. Luckily for us, this problem only requires a bit of multiplication and division. We recommend that you use a calculator, but solving these problems by hand or in your head is possible too! Here’s how we discovered that 8 / 9 = 88.89% :

**Step 1:**Divide 8 by 9 to get the number as a decimal. 8 / 9 = 0.89**Step 2:**Multiply 0.89 by 100. 0.89 times 100 = 88.89. That’s all there is to it!

## When are fractions useful?

Fractions are commonly used in everyday life. If you are splitting a bill or trying to score a test, you will often describe the problem using fractions. Sometimes, you may want to express the fraction as a percentage.

### Fraction Conversion Table

Percentage Fraction Decimal

88.89% 8 / 9 0.89

## Find the Denominator

A percentage is a number out of 100, so we need to make our denominator 100! If the original denominator is 9, we need to solve for how we can make the denominator 100. To convert this fraction, we would divide 100 by 9, which gives us 11.11.

## Find the Numerator

Now, we multiply 11.11 by 8, our original numerator, which is equal to 88.89.

## Convert your Fraction to a Percent

Remember, a percentage is any number out of 100. If we can balance 8 / 9 with a new denominator of 100, we can find the percentage of that fraction!

## Understanding Fractions and Percentages

Fractions and percentages are both ways to represent a part of a whole. A fraction consists of a numerator (the top part) and a denominator (the bottom part), with the numerator representing the part and the denominator representing the whole. In contrast, a percentage represents a part out of 100. Converting between fractions and percentages can help us better understand and compare different quantities or proportions.

In this example, we have converted the fraction 8 / 9 into a percentage: 88.89%. This means that the fraction 8 / 9 is equivalent to 88.89 parts out of 100. It can be useful to know both the fraction and percentage forms when solving problems or interpreting data.

## Real-World Applications of Fractions and Percentages

Fractions and percentages are used in many real-world situations. For example, when calculating discounts on products, understanding both the fraction and percentage can help you quickly determine how much you will save. If a store offers a discount of 1/4 (1 / 4) off the original price, you can convert this fraction to a percentage (25%) to better understand the savings.

Another example could be in measuring ingredients for a recipe. If you know that you need 1/2 (1 / 2) of a cup of an ingredient, converting this fraction to a percentage (50%) can help you visualize how much you need relative to a full cup.

## Tips for Converting Fractions to Percentages

When converting fractions to percentages, it’s essential to remember that percentages always have a denominator of 100. To convert a fraction like 8 / 9 into a percentage, you can follow these steps:

- Divide the numerator (8) by the denominator (9) to get the decimal equivalent.
- Multiply the decimal by 100 to get the percentage.

Keep in mind that you can also reverse these steps and still arrive at the correct solution. If you multiply the numerator (8) by 100 first and then divide the result by the denominator (9), you will still get the correct percentage (88.89%).

## Help your students convert 8 / 9 through further understanding:

**What is the numerator of 8 / 9?**The numerator is 8.**What is the denominator of 8 / 9?**The denominator is 9.**When would you use 8 / 9 as a fraction? Give examples.**You would use 8 / 9 as a fraction when dividing a whole into 9 equal parts and taking 8 of those parts.**When would you use 8 / 9 as a decimal? Give examples.**You would use 8 / 9 as a decimal when you need to express the fraction as a decimal number, such as in calculations or measurements.**When would you use 8 / 9 as a percentage? Give examples.**You would use 8 / 9 as a percentage when you want to express the fraction as a part out of 100, such as in comparisons or analyzing data.**What are three other fractions that convert to 88.89%?**Three other fractions that convert to 88.89% are 16/18, 24/27, and 40/45.**Ask your students to think of three real-life examples of when to use fractions vs percentages.**Students may consider examples like calculating grades (using percentages) or dividing a pizza into equal slices (using fractions).**Which fraction is larger: 8 / 9 or 131 / 140?**To compare fractions, we can either find a common denominator or convert them to decimals or percentages. In this case, it is easier to convert them to decimals or percentages. Converting 8 / 9 to a decimal, we get approximately 0.8889. Converting 131 / 140 to a decimal, we get approximately 0.9357. Therefore, 8 / 9 is smaller than 131 / 140.