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Quarter: Definition and Example | EDU.COM

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Quarter: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">QuarterQuarter: Definition and ExampleTable of ContentsDefinition of Quarter

A quarter, also known as one-fourth, is a mathematical fraction representing one part of four equal parts. In numerical form, it is written as 14\frac{1}{4}41​, which means when we divide one whole unit into four equal parts, each part represents a quarter. This fraction can also be expressed as 0.250.250.25 in decimal form or 25%25\%25% in percentage form. When working with quarters, we are essentially dividing a whole into four equal portions and considering one of those portions.

Quarters can be represented in various forms and contexts. To find one-fourth of a whole number, we simply divide the number by 444. For example, a quarter of 282828 equals 777 because 28÷4=728 \div 4 = 728÷4=7. When finding one-fourth of a fraction, we multiply the fraction by 14\frac{1}{4}41​. Additionally, we can find equivalent fractions to 14\frac{1}{4}41​ by multiplying both the numerator and denominator by the same natural number, resulting in fractions like 28\frac{2}{8}82​, 312\frac{3}{12}123​, and 416\frac{4}{16}164​.

Examples of Quarter Example 1: Finding the Quarter of a Number Problem:

Write the quarter of 32 and state how many 4s are in the number 32?

Step-by-step solution:

First approach: Divide 32 by 4 directly. 324=8\frac{32}{4} = 8432​=8

Alternative approach: Break it down into halves.

First find half of 32: 12×32=16\frac{1}{2} \times 32 = 1621​×32=16 Then find half of that result: 12×16=8\frac{1}{2} \times 16 = 821​×16=8

Therefore: The quarter of 32 is 8.

Additional insight: This also tells us there are 8 groups of 4 in the number 32.

Example 2: Comparing Fractions of Different Wholes Problem:

Sunny has a quarter of 48 muffins, and Harry has half of 24 muffins. Find out who has more muffins.

Step-by-step solution:

Step 1, calculate how many muffins Sunny has.

A quarter of 48 means: 14×48=12\frac{1}{4} \times 48 = 1241​×48=12 muffins

Step 2, calculate how many muffins Harry has.

Half of 24 means: 12×24=12\frac{1}{2} \times 24 = 1221​×24=12 muffins

Step 3, compare the results: Both Sunny and Harry have 12 muffins.

Step 4, conclude: Neither has more muffins than the other; they have an equal number of muffins.

Example 3: Finding Percentages Using Quarters Problem:

Emma took 40 red pearls out of 160 pearls. What percent of the whole did she take?

Step-by-step solution:

Step 1, express the number of pearls Emma took as a fraction of the total.

Total number of pearls =160= 160=160 Number of pearls Emma took =40= 40=40 As a fraction: 40160\frac{40}{160}16040​

Step 2, simplify this fraction to its lowest form.

Divide both numerator and denominator by 40: 40160=40÷40160÷40=14\frac{40}{160} = \frac{40 \div 40}{160 \div 40} = \frac{1}{4}16040​=160÷4040÷40​=41​

Step 3, convert the fraction to a percentage.

To convert a fraction to a percentage, multiply by 100: 14×100=25%\frac{1}{4} \times 100 = 25\%41​×100=25%

Step 4, conclude: Emma took 25% of the pearls, which is a quarter of the total.

Comments(7)AAnalystRudyNovember 4, 2025I've used this quarter definition to teach my kids. It's super clear, and the examples really help them grasp the concept. Thanks!

DDreamer2025September 17, 2025I used the quarter definition to help my kids understand fractions, and it clicked for them! The examples made it super easy to explain. Thanks for breaking it down so well!

MCMs. CarterSeptember 10, 2025I’ve used the quarter definition from this page to help my kids understand fractions better. The examples are clear, and they really got how 1/4 works in decimals and percentages!

MCMs. CarterAugust 27, 2025This was super helpful for explaining quarters to my kids! We used the examples to divide snacks into fourths, and they caught on quickly. Thanks for making math so practical!

MCMs. CarterAugust 20, 2025I’ve been using this page to explain fractions to my kids, and the quarter examples made it so much easier for them to understand! Breaking it down into decimals and percentages really clicked for them.

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