What is 1/8 (One Eighth)?

S1-SA2-0799

Grade Level:

Class 3

Maths, Physics, Music, Computing

Definition

What is it?

1/8 (One Eighth) means one part out of eight equal parts of a whole. It is a fraction where the number 1 is the numerator (the part you have) and the number 8 is the denominator (the total equal parts). Think of it as sharing something equally among eight people.

Simple Example

Quick Example

Imagine you have a delicious round pizza and you cut it into 8 equal slices. If you take just one of those slices, you have taken 1/8 of the whole pizza. Each friend gets 1/8 of the pizza if 8 friends share it equally.

Worked Example

Step-by-Step

Let's find 1/8 of 40 laddus.

Step 1: Understand the problem. We need to divide 40 laddus into 8 equal groups.

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Step 2: Write this as a division problem: 40 divided by 8.

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Step 3: Perform the division: 40 ÷ 8.

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Step 4: Calculate the result. 8 x 5 = 40.

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Step 5: So, 40 ÷ 8 = 5.

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Answer: 1/8 of 40 laddus is 5 laddus.

Why It Matters

Understanding 1/8 is crucial for dividing things fairly and calculating proportions in everyday life. From mixing ingredients in cooking (like 1/8 spoon of turmeric) to understanding music rhythms (like an eighth note), fractions are everywhere. Engineers use fractions to design parts, and doctors use them for medicine dosages.

Common Mistakes

MISTAKE: Thinking 1/8 means 8 parts out of 1. | CORRECTION: 1/8 means 1 part out of 8 total equal parts. The top number (numerator) is the part you have, the bottom number (denominator) is the total parts.

MISTAKE: Confusing 1/8 with 1/2 or 1/4. | CORRECTION: 1/8 is much smaller than 1/2 or 1/4. The larger the denominator, the smaller the individual fraction piece when the numerator is 1.

MISTAKE: Dividing the numerator by the denominator when finding a fraction of a number (e.g., for 1/8 of 40, doing 1 ÷ 8 × 40). | CORRECTION: When finding a fraction of a number, you multiply the number by the numerator and then divide by the denominator (or divide by the denominator first, then multiply by the numerator, as shown in the worked example). For 1/8 of 40, it's (1 × 40) ÷ 8 or 40 ÷ 8.

Practice Questions

Try It Yourself

QUESTION: If a bar of chocolate has 8 equal pieces, and you eat 1 piece, what fraction of the chocolate did you eat? | ANSWER: 1/8

QUESTION: There are 24 students in a class. If 1/8 of them are absent today, how many students are absent? | ANSWER: 3 students (24 ÷ 8 = 3)

QUESTION: A tailor has 16 meters of cloth. He uses 1/8 of the cloth for a shirt and 1/4 of the cloth for a dress. How much cloth did he use in total? | ANSWER: 6 meters (1/8 of 16m = 2m; 1/4 of 16m = 4m; Total = 2m + 4m = 6m)

MCQ

Quick Quiz

Which of these represents 1/8 of a whole?

One part out of two equal parts.

One part out of four equal parts.

One part out of eight equal parts.

Eight parts out of one part.

The Correct Answer Is:

1/8 means one part (numerator) from a total of eight equal parts (denominator). Options A and B represent 1/2 and 1/4 respectively, while D is incorrect fraction notation.

Real World Connection

In the Real World

When you order a cake for a birthday party, you might ask the bakery to cut it into 8 equal slices so everyone gets a fair share. Or, if you're helping your parents measure ingredients for a recipe, you might need to measure 1/8 teaspoon of salt using a measuring spoon, which helps ensure the dish tastes just right.

Key Vocabulary

Key Terms

FRACTION: A part of a whole. | NUMERATOR: The top number in a fraction, showing how many parts are taken. | DENOMINATOR: The bottom number in a fraction, showing the total number of equal parts. | EQUAL PARTS: Pieces that are exactly the same size.

What's Next

What to Learn Next

Now that you understand 1/8, you can explore other unit fractions like 1/10 or 1/100. Then, you can move on to understanding equivalent fractions and how to add or subtract fractions with different denominators. Keep practicing!