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What is Three Quarters (3/4)?
Grade Level:
Class 2
Maths, Physics, Finance, Time
Definition
What is it?
Three quarters, written as 3/4, means three parts out of four equal parts of a whole. Imagine you have something whole, like a roti, and you divide it into four exact pieces; three of those pieces make up three quarters.
Simple Example
Quick Example
Suppose your mom gives you a chocolate bar and says you can eat three quarters of it. If the chocolate bar has 4 squares, you would eat 3 squares. The remaining 1 square would be kept for later.
Worked Example
Step-by-Step
Problem: A pizza is cut into 4 equal slices. If you eat 3 of these slices, what fraction of the pizza did you eat?
---Step 1: Understand the total parts. The pizza is cut into 4 equal slices, so the total number of parts is 4.
---Step 2: Identify the parts eaten. You ate 3 of these slices, so the number of parts eaten is 3.
---Step 3: Form the fraction. The fraction represents (parts eaten) / (total parts).
---Step 4: Write the fraction. So, you ate 3/4 of the pizza.
---Answer: You ate three quarters (3/4) of the pizza.
Why It Matters
Understanding three quarters is key for daily life, from dividing food to calculating discounts. It's crucial in fields like finance for budgeting, physics for measurements, and even in sports for understanding game time. Knowing fractions helps you make smart decisions and succeed in many careers.
Common Mistakes
MISTAKE: Thinking 3/4 means '3 and 4' or '3 out of any 4 things'. | CORRECTION: 3/4 specifically means 3 parts out of 4 *equal* parts of a *single whole*.
MISTAKE: Confusing 3/4 with 4/3. | CORRECTION: 3/4 is less than a whole (a proper fraction), while 4/3 is more than a whole (an improper fraction). The numerator (top number) is the parts you have, the denominator (bottom number) is the total parts.
MISTAKE: Not understanding that the 'whole' must be divided into *equal* parts. | CORRECTION: For a fraction like 3/4 to be correct, the four parts must be exactly the same size. If they are not equal, it's not truly 3/4.
Practice Questions
Try It Yourself
QUESTION: You have 4 friends, and 3 of them came to your birthday party. What fraction of your friends came? | ANSWER: 3/4
QUESTION: A football match is 90 minutes long. If three quarters of the match has passed, how many minutes have gone by? | ANSWER: 67.5 minutes (3/4 of 90 = (3 * 90) / 4 = 270 / 4 = 67.5)
QUESTION: There are 20 laddoos in a box. If your family ate three quarters of the laddoos, how many laddoos are left? | ANSWER: 5 laddoos (3/4 of 20 = 15 laddoos eaten. 20 - 15 = 5 laddoos left.)
MCQ
Quick Quiz
Which of these represents three quarters?
3 + 4
3 out of 4 equal parts
4 divided by 3
3 multiplied by 4
The Correct Answer Is:
B
Option B correctly defines three quarters as taking 3 parts when a whole is divided into 4 equal parts. Options A, C, and D represent different mathematical operations, not the concept of a fraction.
Real World Connection
In the Real World
When you see a discount like '75% off' at a shop, it means three quarters of the original price is reduced! Or, if your mobile data plan shows 75% used, it means you've used three quarters of your data for the day. In construction, engineers often use fractions like 3/4 to measure materials precisely.
Key Vocabulary
Key Terms
FRACTION: A way to show parts of a whole | NUMERATOR: The top number in a fraction, showing how many parts you have | DENOMINATOR: The bottom number in a fraction, showing the total equal parts in the whole | WHOLE: The complete object or quantity before it's divided
What's Next
What to Learn Next
Great job understanding three quarters! Next, you can learn about other common fractions like half (1/2) and one quarter (1/4), and then how to add or subtract fractions. This will help you solve even more exciting real-life math problems!
