What is 1/5 (One Fifth)?

S1-SA2-0207

Grade Level:

Class 3

Maths, Data Science, Percentages

Definition

What is it?

1/5 (One Fifth) means one part out of five equal parts of a whole thing. It represents a fraction where the whole is divided into 5 identical sections, and you are considering just one of those sections. Think of it as sharing something equally among five friends.

Simple Example

Quick Example

Imagine you have a delicious gulab jamun. If you cut it into 5 pieces of the exact same size, and you eat one of those pieces, you have eaten 1/5 (one fifth) of the gulab jamun. The remaining 4 pieces make up 4/5 of the gulab jamun.

Worked Example

Step-by-Step

Let's say a cricket match has 50 overs. How many overs are 1/5 of the total overs?

1. Understand the total: The total number of overs is 50.
2. Understand the fraction: We need to find 1/5 of this total.
3. Divide the total by the denominator: The denominator is 5, so we divide 50 by 5.
4. Calculation: 50 ÷ 5 = 10.
5. The answer is 10.

So, 1/5 of 50 overs is 10 overs.

Why It Matters

Understanding fractions like 1/5 is key for handling data and percentages, which are used everywhere from sports analytics to financial planning. Data scientists use fractions to interpret survey results, and engineers use them to calculate proportions in designs. Knowing this helps you make smart decisions in daily life and in future careers.

Common Mistakes

MISTAKE: Thinking 1/5 means 1 out of 5 parts, but the parts are not equal. | CORRECTION: For 1/5 to be accurate, the whole must be divided into 5 *equal* parts.

MISTAKE: Confusing 1/5 with 5/1. | CORRECTION: 1/5 means one part of five, which is less than a whole. 5/1 means five whole parts.

MISTAKE: When finding 1/5 of a number, adding 5 instead of dividing by 5. | CORRECTION: To find 1/5 of a number, you must divide that number by 5.

Practice Questions

Try It Yourself

QUESTION: There are 25 students in a Class 3. If 1/5 of the students wear spectacles, how many students wear spectacles? | ANSWER: 5 students

QUESTION: A pizza has 10 slices. If you eat 1/5 of the pizza, how many slices did you eat? | ANSWER: 2 slices

QUESTION: Priya has 100 rupees. She spends 1/5 of her money on a pen and 2/5 of her money on a notebook. How much money does she have left? | ANSWER: 40 rupees

MCQ

Quick Quiz

Which of these represents 1/5?

A circle divided into 4 equal parts, with 1 part shaded.

A square divided into 5 equal parts, with 1 part shaded.

A rectangle divided into 5 unequal parts, with 1 part shaded.

A triangle divided into 1 part, with 5 parts shaded.

The Correct Answer Is:

Option B correctly shows 1 out of 5 equal parts shaded, which is the definition of 1/5. Options A has 4 parts, Option C has unequal parts, and Option D is incorrect in its representation.

Real World Connection

In the Real World

When you buy groceries online using apps like Zepto or Swiggy Instamart, sometimes they offer a 'Flat 1/5 off' discount on certain items. This means you pay only 4/5 of the original price, saving 1/5 of the money. Understanding 1/5 helps you quickly calculate your savings!

Key Vocabulary

Key Terms

FRACTION: A part of a whole. | NUMERATOR: The top number in a fraction, showing how many parts are being considered. | DENOMINATOR: The bottom number in a fraction, showing how many equal parts the whole is divided into. | EQUAL PARTS: Parts that are exactly the same size.

What's Next

What to Learn Next

Great job understanding 1/5! Next, you should explore other common fractions like 1/2, 1/3, and 1/4. Then, you can learn how to compare fractions and perform operations like adding and subtracting them. Keep up the amazing work!