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What is 1/20 (One Twentieth)?
Grade Level:
Class 5
Maths, Percentages, Finance
Definition
What is it?
1/20 (One Twentieth) means one part out of twenty equal parts of a whole. It is a fraction representing a small portion of something. Think of it as dividing something into 20 identical pieces and taking just one of them.
Simple Example
Quick Example
Imagine you have a box of 20 ladoos to share with your friends. If you eat 1 ladoo, you have eaten 1/20 of the total ladoos. It means out of 20 ladoos, you took one.
Worked Example
Step-by-Step
QUESTION: What is 1/20 of 100 rupees?
STEP 1: Understand the question. We need to find one-twentieth part of 100.
---STEP 2: Write 1/20 as a fraction and multiply it by the total amount. So, (1/20) * 100.
---STEP 3: Multiply the numerator (1) by 100: 1 * 100 = 100.
---STEP 4: Now divide this result by the denominator (20): 100 / 20.
---STEP 5: Perform the division: 100 divided by 20 is 5.
---ANSWER: 1/20 of 100 rupees is 5 rupees.
Why It Matters
Understanding 1/20 helps you grasp fractions, percentages, and decimals, which are crucial in daily life. It's used by shopkeepers for discounts, bankers for interest, and even in sports analytics to calculate small portions or probabilities.
Common Mistakes
MISTAKE: Thinking 1/20 means 20 whole items. | CORRECTION: 1/20 means one part out of twenty equal parts, not twenty whole parts. It's a fraction, a part of a whole.
MISTAKE: Multiplying the whole number by 20 instead of dividing when finding '1/20 of' something. | CORRECTION: To find 1/20 of a number, you divide that number by 20, or multiply by 1/20.
MISTAKE: Confusing 1/20 with 20/1. | CORRECTION: 1/20 is a small fraction (less than 1), while 20/1 is simply 20 (a whole number). They are very different.
Practice Questions
Try It Yourself
QUESTION: A school has 200 students. If 1/20 of them participated in the annual sports day, how many students participated? | ANSWER: 10 students
QUESTION: Your mobile phone has 1 GB (1000 MB) of data. If you use 1/20 of it for watching a short video, how many MB of data did you use? | ANSWER: 50 MB
QUESTION: A recipe calls for 500 grams of flour. If you only want to make 1/20 of the recipe, and then double that small amount, how much flour will you need in total? | ANSWER: 50 grams
MCQ
Quick Quiz
What is 1/20 of 40?
20
2
40
4
The Correct Answer Is:
B
To find 1/20 of 40, you divide 40 by 20. 40 divided by 20 equals 2. Options A, C, and D are incorrect as they do not represent one-twentieth.
Real World Connection
In the Real World
When you see a discount of '5% off' at a shop in India, it's actually 1/20 of the original price! For example, if a shirt costs 1000 rupees, a 5% (or 1/20) discount means you save 50 rupees (1000 / 20). This concept is also used in financial planning, like calculating small portions of investments.
Key Vocabulary
Key Terms
FRACTION: A part of a whole, like 1/20 | NUMERATOR: The top number in a fraction, showing how many parts are taken (e.g., 1 in 1/20) | DENOMINATOR: The bottom number in a fraction, showing the total number of equal parts (e.g., 20 in 1/20) | PERCENTAGE: A way to express a fraction out of 100 (e.g., 1/20 is 5%)
What's Next
What to Learn Next
Now that you understand 1/20, try learning about other common fractions like 1/10 or 1/4. You can also explore how fractions like 1/20 are converted into percentages and decimals, which will make your math skills even stronger!
