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Eighth: Definition and Example | EDU.COM

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Eighth: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">EighthEighth: Definition and ExampleTable of ContentsEighth Definition of Eighth

An eighth is a fraction that represents one parts of a whole that has been divided into eight equal pieces. The fraction one-eighth (18\frac{1}{8}81​) means one part out of eight equal parts. We can have different numbers of eighths, such as one-eighth (18\frac{1}{8}81​), three-eighths (38\frac{3}{8}83​), five-eighths (58\frac{5}{8}85​), and so on up to eight-eighths (88\frac{8}{8}88​), which equals one whole. Eighths help us describe parts of a whole when we need more precision than halves or quarters.

In the world of fractions, eighths are commonly used in measurement, especially in cooking, carpentry, and other practical applications. Eighths can be written as fractions with 8 as the denominator (bottom number), such as 18\frac{1}{8}81​, 28\frac{2}{8}82​, 38\frac{3}{8}83​, and so on. They can also be written in decimal form (0.125, 0.25, 0.375, etc.) or as percentages (12.5%, 25%, 37.5%, etc.). Understanding eighths helps us work with smaller parts and make precise measurements when halves (12\frac{1}{2}21​) or quarters (14\frac{1}{4}41​) are not small enough.

Examples of Eighth Example 1: Simplifying Fractions with Eighths Problem:

Simplify these fractions: a) 28\frac{2}{8}82​, b) 48\frac{4}{8}84​, c) 68\frac{6}{8}86​

Step-by-step solution:

Step 1, To simplify a fraction, we need to find the greatest common factor (GCF) of the numerator and denominator.

Step 2, For 28\frac{2}{8}82​, the GCF of 2 and 8 is 2.

We divide both numbers by 2: 2 ÷ 2 = 1 8 ÷ 2 = 4 So 28\frac{2}{8}82​ = 14\frac{1}{4}41​ (one-fourth)

Step 3, For 48\frac{4}{8}84​, the GCF of 4 and 8 is 4.

We divide both numbers by 4: 4 ÷ 4 = 1 8 ÷ 4 = 2 So 48\frac{4}{8}84​ = 12\frac{1}{2}21​ (one-half)

Step 4, For 68\frac{6}{8}86​, the GCF of 6 and 8 is 2.

We divide both numbers by 2: 6 ÷ 2 = 3 8 ÷ 2 = 4 So 68\frac{6}{8}86​ = 34\frac{3}{4}43​ (three-fourths) Example 2: Adding Fractions with Eighths Problem:

Find the sum: 38\frac{3}{8}83​ + 28\frac{2}{8}82​ + 18\frac{1}{8}81​

Step-by-step solution:

Step 1, Notice that all these fractions have the same denominator (8). When adding fractions with the same denominator, we just add the numerators.

Step 2, Add the numerators: 3 + 2 + 1 = 6

Step 3, Keep the same denominator: 38\frac{3}{8}83​ + 28\frac{2}{8}82​ + 18\frac{1}{8}81​ = 68\frac{6}{8}86​

Step 4, Simplify the result. The GCF of 6 and 8 is 2.

6 ÷ 2 = 3 8 ÷ 2 = 4 So 68\frac{6}{8}86​ = 34\frac{3}{4}43​

Step 5, The final answer is 34\frac{3}{4}43​.

Example 3: Real-World Problem with Eighths Problem:

A recipe calls for 38\frac{3}{8}83​ cup of sugar. If you only have a 14\frac{1}{4}41​ cup measuring cup, how many times will you need to use it to measure the correct amount?

Step-by-step solution:

Step 1, We need to compare 38\frac{3}{8}83​ cup with 14\frac{1}{4}41​ cup.

Step 2, Let's convert 14\frac{1}{4}41​ to an equivalent fraction with a denominator of 8: 14\frac{1}{4}41​ = 1×24×2\frac{1 × 2}{4 × 2}4×21×2​ = 28\frac{2}{8}82​

Step 3, Now we can compare:

38\frac{3}{8}83​ cup = ? × (28\frac{2}{8}82​) cup 38\frac{3}{8}83​ = ? × 28\frac{2}{8}82​ 38\frac{3}{8}83​ ÷ 28\frac{2}{8}82​ = ?

Step 4, To divide fractions, multiply by the reciprocal: 38\frac{3}{8}83​ ÷ 28\frac{2}{8}82​ = 38\frac{3}{8}83​ × 82\frac{8}{2}28​ = 38\frac{3}{8}83​ × 41\frac{4}{1}14​ = 128\frac{12}{8}812​ = 32\frac{3}{2}23​ = 1.5

Step 5, So 38\frac{3}{8}83​ cup equals 1.5 times the 14\frac{1}{4}41​ cup measure.

Step 6, This means you need to use the 14\frac{1}{4}41​ cup once completely, and then fill it halfway once more.

Step 7, The answer is: Use the 14\frac{1}{4}41​ cup measure 1 and 12\frac{1}{2}21​ times (or one full measure and one half measure).

Comments(2)BBikerDylanNovember 4, 2025I've used this 'eighth' def to teach my kid. The pizza example made it super easy for them to grasp! Thanks!

NNatureLover85September 17, 2025I used the 'eighths' examples to help my kids understand fractions with pizza slices—it worked like magic! They finally got it. Thanks for breaking it down so simply!

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