108 / 172 = 62.79%

Set your percent equation:

- 108 divided by 172
- Numerator: 108
- Denominator: 172
- Decimal: 0.63
- Percentage: 62.79%

108/172 = 62.79% as a percentage & 0.63 as a decimal. We teach our students all three as they are each part of understanding fraction conversions. To solve more coversions, 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 108 / 172 = 62.79% :

108 / 172 as a percentage | 108 / 172 as a fraction | 108 / 172 as a decimal |
---|---|---|

62.79% - Convert percentages | 108 / 172 | 108 / 172 = 0.63 |

A percentage is a number out of **100**, so we need to make our denominator 100!

If the original denominator is 172, we need to solve for how we can make the denominator 100.

To convert this fraction, we would divide 100 by 172, which gives us **0.58**.

Now, we multiply 0.58 by 108, our original numerator, which is equal to **62.79**

62.79 / 100 = 62.79%

Remember, a percentage is any number out of 100. If we can balance 108 / 172 with a new denominator of 100, we can find the percentage of that fraction!

**Step 1:**Divide 108 by 172 to get the number as a decimal. 108 / 172 = 0.63**Step 2:**Multiply 0.63 by 100. 0.63 times 100 = 62.79. That's all there is to it!

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.

Fractions and percentages are both ways to represent a part of a whole as 108/172. A fraction consists of a numerator 108 (the top part) and a denominator 172 (the bottom part), with the numerator representing the part and the denominator representing the whole. In contrast, a percentage 62.79 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 108 / 172 into a percentage: 62.79%. This means that the fraction 108 / 172 is equivalent to 62.79 parts out of 100. It can be useful to know both the fraction and percentage forms when solving problems or interpreting data.

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.

When converting fractions to percentages, it's essential to remember that percentages always have a denominator of 100. To convert a fraction like 108 / 172 into a percentage, you can follow these steps:

- Divide the numerator (108) by the denominator (172) 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 (108) by 100 first and then divide the result by the denominator (172), you will still get the correct percentage (62.79%).

- What is the numerator of 108 / 172?
- What is the denominator of 108 / 172?
- When would you use 108 / 172 as a fraction? Give examples
- When would you use 108 / 172 as a decimal? Give examples
- When would you use 108 / 172 as a percentage? Give examples
- What are three other fractions that convert to 62.79%?
- Ask your students to think of three real life examples of when to use fractions vs percentages.
- Which fraction is larger: 108 / 172 or 101 / 202?