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Halves – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">HalvesHalves – Definition, ExamplesTable of ContentsUnderstanding Halves in Mathematics Definition of Halves

Halves are two equal parts of a whole. When we split or divide a whole into two equal parts, we get two halves, with each individual part called a half. Two halves together make a whole. We can understand halves using everyday objects like a pizza cut in two equal pieces or a rectangle divided into two identical parts.

Halves can be represented mathematically in different ways. As a fraction, half is written as 12\frac{1}{2}21​, which is both a unit fraction (numerator is 111) and a proper fraction (numerator is less than denominator). As a decimal, half equals 0.50.50.5, and as a percentage, half is 50%50\%50%. Equivalent fractions of 12\frac{1}{2}21​ include 24\frac{2}{4}42​, 36\frac{3}{6}63​, and 48\frac{4}{8}84​.

Examples of Halves Example 1: Finding Half of a Circle Divided into Equal Parts Problem:

How many parts should be shaded in the following figure to represent half a circle?

Finding Half of a Circle Divided into Equal Parts

Step-by-step solution:

Step 1, Count the total number of equal parts in the circle. The circle is divided into 888 equal parts.

Step 2, To find half of the circle, we need to calculate half of the total parts.

Half of 888 = 12×8=4\frac{1}{2} \times 8 = 421​×8=4

Step 3, We need to shade 444 parts to represent half of the circle.

Finding Half of a Circle Divided into Equal Parts

Example 2: Using Percentages to Find Half in a Real-World Scenario Problem:

50%50\%50% of the class like to play soccer. If there are 202020 students in the class, how many students like to play soccer?

Using Percentages to Find Half in a Real-World Scenario

Step-by-step solution:

Step 1, Identify what we know. The total number of students is 202020, and we're looking for 50%50\%50% of this number.

Step 2, Remember that 50%50\%50% means half. So we can solve this in different ways.

Step 3, Convert the percentage to a decimal or fraction:

50%=50100=1250\% = \frac{50}{100} = \frac{1}{2}50%=10050​=21​

Step 4, Multiply the total by this fraction:

50%50\%50% of 20=12×20=1020 = \frac{1}{2} \times 20 = 1020=21​×20=10

Step 5, We can also think of this as dividing by 222:

Half of 20=20÷2=1020 = 20 ÷ 2 = 1020=20÷2=10

Step 6, Therefore, 101010 students like to play soccer.

Using Percentages to Find Half in a Real-World Scenario

Example 3: Finding Half of a Half Problem:

What is half of a half?

Step-by-step solution:

Step 1, Write half as a fraction: 12\frac{1}{2}21​

Step 2, To find half of a half, we multiply the fraction by 12\frac{1}{2}21​:

Half of half = 12×12=14\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}21​×21​=41​

Step 3, We can understand in this way: If you take half of something and then take half of that piece, you end up with a quarter of the original whole.

Step 4, Therefore, half of a half equals a quarter (14\frac{1}{4}41​).

Comments(7)PPoetDavidNovember 6, 2025This glossary page on halves is great! I've used it to teach my students, and the examples really helped them grasp the concept.

SSurferZachNovember 4, 2025I've used this halves def. with my students. The examples made it easy for them to grasp. Great resource for teaching math concepts!

NNatureLover85September 17, 2025I’ve used the halves definition and examples with my kids during homework time—it’s so clear and easy to follow! The visuals really helped them grasp the concept. Great resource!

NNatureLover95September 10, 2025I loved how the definition and examples on halves were so clear! I used this with my kids, and the visual aids really helped them grasp the concept. Great resource for both parents and teachers!

MMomInTheCityAugust 27, 2025I used the 'Halves' page to explain fractions to my 8-year-old, and it worked wonders! The examples and visuals made it super easy for him to grasp the concept. Thanks for such a clear explanation!

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