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What is 1/25 (One Twenty-Fifth)?

Grade Level:

Class 5

Maths, Percentages, Finance

Definition
What is it?

1/25 (one twenty-fifth) is a fraction that represents one part out of twenty-five equal parts of a whole. It tells us that something has been divided into 25 equal pieces, and we are looking at just one of those pieces.

Simple Example
Quick Example

Imagine your family ordered a large pizza for dinner. If the pizza is cut into 25 equal slices, and you eat just one slice, then you have eaten 1/25 of the whole pizza. It's a small but specific portion!

Worked Example
Step-by-Step

Let's say a school has 500 students. How many students represent 1/25 of the total?

1. Identify the total number: Total students = 500.
---2. Understand what 1/25 means: It means dividing the total into 25 equal parts.
---3. To find 1/25 of 500, we divide 500 by 25.
---4. Calculation: 500 ÷ 25.
---5. We can do this division: 500 / 25 = 20.
---Answer: 1/25 of 500 students is 20 students.

Why It Matters

Understanding fractions like 1/25 is super important for daily life and future studies. It helps you calculate percentages, understand discounts while shopping, and even manage money. Knowing this helps in careers like banking, retail, and data analysis.

Common Mistakes

MISTAKE: Thinking 1/25 means 25 out of 1. | CORRECTION: 1/25 always means 1 part out of 25 equal parts. The top number (numerator) is the part, the bottom number (denominator) is the total equal parts.

MISTAKE: Confusing 1/25 with 1/2 or 1/5, assuming it's a larger part. | CORRECTION: A larger denominator (like 25) means the whole is divided into more parts, so each part (like 1/25) is actually smaller than 1/2 or 1/5.

MISTAKE: Writing 1/25 as 25.0 or 0.25. | CORRECTION: 1/25 is a fraction. Its decimal form is 0.04. 0.25 is actually 1/4. Always perform the division (1 divided by 25) to get the correct decimal.

Practice Questions
Try It Yourself

QUESTION: If a box contains 100 laddoos, and you take 1/25 of them, how many laddoos did you take? | ANSWER: 4 laddoos

QUESTION: A cricket match has 50 overs. If a bowler bowls 1/25 of the total overs, how many overs did he bowl? | ANSWER: 2 overs

QUESTION: A shop offers a discount of 1/25 on an item priced at Rs 750. What is the discount amount in rupees? | ANSWER: Rs 30

MCQ
Quick Quiz

What is the decimal equivalent of 1/25?

0.25

0.04

4

0.4

The Correct Answer Is:

B

To convert 1/25 to a decimal, you divide 1 by 25. 1 ÷ 25 = 0.04. Option A (0.25) is 1/4, not 1/25.

Real World Connection
In the Real World

When you see '4% off' on a shopping app like Flipkart or Amazon, it means you get 4 rupees off for every 100 rupees. Did you know 4% is the same as 1/25? So, a '1/25 discount' is a real thing you use while shopping!

Key Vocabulary
Key Terms

FRACTION: A part of a whole, like 1/25 | NUMERATOR: The top number in a fraction, showing the part (e.g., 1 in 1/25) | DENOMINATOR: The bottom number in a fraction, showing the total equal parts (e.g., 25 in 1/25) | DECIMAL: Another way to write fractions, like 0.04 for 1/25

What's Next
What to Learn Next

Great job understanding 1/25! Next, you can explore how to convert fractions like 1/25 into percentages. This will show you how 1/25 is equal to 4%, making your math skills even stronger for real-world calculations.

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