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What is 2/3 (Two Thirds)?
Grade Level:
Class 3
Maths, Physics, Chemistry
Definition
What is it?
2/3 (Two Thirds) is a fraction that means two out of three equal parts of something. Imagine dividing a whole thing into three identical pieces; 2/3 means you are considering two of those pieces. It represents a part of a whole.
Simple Example
Quick Example
Imagine you have a delicious pizza cut into 3 equal slices. If you eat 2 of those slices, you have eaten 2/3 of the pizza. The '2' tells you how many parts you have, and the '3' tells you the total number of equal parts the pizza was divided into.
Worked Example
Step-by-Step
Let's find 2/3 of 15 samosas.
1. First, understand what 2/3 means: Divide the total into 3 equal parts, then take 2 of those parts.
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2. Divide the total number of samosas (15) by the denominator (3): 15 ÷ 3 = 5.
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3. This means each 'third' is 5 samosas.
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4. Now, multiply this result by the numerator (2) to find two-thirds: 5 x 2 = 10.
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5. So, 2/3 of 15 samosas is 10 samosas.
Answer: 10 samosas
Why It Matters
Understanding 2/3 is crucial in Maths for solving problems involving parts of a whole, like sharing things fairly. In Physics, you might use fractions to measure parts of a distance or time. In Chemistry, it helps calculate proportions in mixtures. Engineers, architects, and even chefs use fractions daily to measure and divide accurately.
Common Mistakes
MISTAKE: Thinking 2/3 means 2 divided by 3, and stopping there without understanding it's a part of a whole. | CORRECTION: Remember 2/3 represents 'two parts out of three equal parts'. It's not just a division sum, but a way to describe a portion.
MISTAKE: Confusing the numerator and denominator, for example, thinking 2/3 means dividing by 2 and multiplying by 3. | CORRECTION: The top number (numerator, 2) tells you how many parts you HAVE. The bottom number (denominator, 3) tells you how many total EQUAL parts there ARE.
MISTAKE: Applying 2/3 to unequal parts. For instance, if a cake is cut into 3 unequal pieces, saying you ate 2/3 of it by eating two pieces. | CORRECTION: Fractions like 2/3 only make sense when the 'whole' is divided into EQUAL parts. Each 'third' must be the same size.
Practice Questions
Try It Yourself
QUESTION: A class has 30 students. If 2/3 of the students are boys, how many boys are there? | ANSWER: 20 boys
QUESTION: You have 18 laddoos. If you give away 2/3 of them, how many laddoos do you have left? | ANSWER: 6 laddoos
QUESTION: A recipe calls for 2/3 cup of milk. If you want to make twice the recipe, how much milk will you need? Express your answer as a mixed fraction. | ANSWER: 1 and 1/3 cups of milk
MCQ
Quick Quiz
What does 2/3 represent?
Two whole items out of three
Two parts when the whole is divided into three equal parts
Three parts when the whole is divided into two equal parts
The number 2.3
The Correct Answer Is:
B
Option B correctly describes 2/3 as taking two parts when a whole is divided into three equal parts. Options A and C misunderstand the meaning of numerator and denominator, and D confuses it with a decimal number.
Real World Connection
In the Real World
Fractions like 2/3 are everywhere! When you order a 2/3 size photo print, you know it's smaller than a full-size one. A tailor might use 2/3 of a meter of cloth for a specific design. Even when a cricket commentator says a team scored 2/3 of their target runs, you understand how much more they need. It helps us understand proportions and quantities in daily life, from cooking to shopping.
Key Vocabulary
Key Terms
FRACTION: A number representing 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 | WHOLE: The complete item or quantity being divided
What's Next
What to Learn Next
Great job understanding 2/3! Now that you know about this fraction, you're ready to explore other fractions like 1/2, 3/4, and even improper fractions. These concepts will help you compare different parts and perform operations like adding or subtracting fractions.
