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What is the Fraction 1/2 of 10?
Grade Level:
Class 3
All STEM domains, Finance, Economics, Data Science, AI, Physics, Chemistry
Definition
What is it?
Finding a fraction of a number means dividing the whole number into equal parts, and then taking a certain number of those parts. When you find "1/2 of 10", it means you are dividing 10 into two equal parts and then taking one of those parts.
Simple Example
Quick Example
Imagine you have 10 ladoos. If your mother asks you to give 1/2 of them to your younger sibling, you would divide the 10 ladoos into two equal groups. Each group would have 5 ladoos. So, 1/2 of 10 ladoos is 5 ladoos.
Worked Example
Step-by-Step
Let's find 1/2 of 10.
1. The fraction is 1/2 and the number is 10.
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2. The denominator (bottom number) of the fraction tells us how many equal parts to divide the whole number into. Here, the denominator is 2, so we divide 10 by 2.
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3. Divide 10 by 2: 10 ÷ 2 = 5.
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4. The numerator (top number) of the fraction tells us how many of those equal parts to take. Here, the numerator is 1, so we take 1 part.
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5. Multiply the result from step 3 by the numerator: 5 x 1 = 5.
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So, 1/2 of 10 is 5.
Why It Matters
Understanding fractions of numbers is key in many fields like finance, where you might calculate 1/4th of your savings, or in physics when dealing with parts of a whole quantity. Engineers use this concept to divide materials, and data scientists use it to understand proportions in large datasets.
Common Mistakes
MISTAKE: Multiplying the number by the denominator (10 x 2 = 20) | CORRECTION: The denominator tells you to divide the whole number, not multiply it.
MISTAKE: Ignoring the numerator and just dividing by the denominator (10 ÷ 2 = 5, then stopping) | CORRECTION: After dividing by the denominator, always multiply the result by the numerator.
MISTAKE: Thinking 1/2 of 10 means 10 - 2 = 8 | CORRECTION: "Of" in mathematics means multiplication, not subtraction. Fractions represent parts of a whole, not a simple subtraction.
Practice Questions
Try It Yourself
QUESTION: What is 1/3 of 9 autos? | ANSWER: 3 autos
QUESTION: If you have 12 pencils and give 1/4 of them to your friend, how many pencils did you give? | ANSWER: 3 pencils
QUESTION: A cricket match had 20 overs. If rain stopped play after 1/2 of the overs were completed, how many overs were played? If each over has 6 balls, how many balls were bowled in total? | ANSWER: 10 overs played; 60 balls bowled
MCQ
Quick Quiz
What is 1/5 of 15?
10
3
5
15
The Correct Answer Is:
B
To find 1/5 of 15, you divide 15 by the denominator 5 (15 ÷ 5 = 3), and then multiply by the numerator 1 (3 x 1 = 3).
Real World Connection
In the Real World
When you're sharing a pizza with 4 friends, and you each get 1/5 of the pizza, you are using this concept. Or, if a shop offers a "1/2 price sale" on an item that costs ₹200, you immediately know the new price is ₹100, because you found 1/2 of ₹200.
Key Vocabulary
Key Terms
FRACTION: A part of a whole, represented by a numerator and a denominator. | NUMERATOR: The top number in a fraction, showing how many parts are taken. | DENOMINATOR: The bottom number in a fraction, showing how many equal parts the whole is divided into. | OF: In math, "of" often means to multiply.
What's Next
What to Learn Next
Great job understanding fractions of whole numbers! Next, you can learn about finding fractions of fractions, like "1/2 of 1/4". This will help you tackle even more complex problems and build a strong foundation for higher math.
