What is 3/4 (Three Quarters)?

S1-SA2-0211

Grade Level:

Class 3

Maths, Physics, Finance, Time

Definition

What is it?

3/4 (Three Quarters) is a fraction that means three out of four equal parts of a whole. It tells us that something has been divided into four equal pieces, and we are looking at three of those pieces.

Simple Example

Quick Example

Imagine you have a delicious pizza cut into 4 equal slices. If you eat 3 of those slices, you have eaten 3/4 of the pizza. The remaining 1 slice is 1/4 of the pizza.

Worked Example

Step-by-Step

PROBLEM: Your mobile phone has 80 GB of data for the month. You have used 3/4 of the data. How much data have you used?---STEP 1: Understand the total. The total data is 80 GB.---STEP 2: Understand the fraction. 3/4 means we divide the total into 4 equal parts and take 3 of those parts.---STEP 3: Find 1/4 of the total. Divide the total data by 4: 80 GB / 4 = 20 GB. So, 1/4 of the data is 20 GB.---STEP 4: Find 3/4 of the total. Multiply the value of 1/4 by 3: 20 GB * 3 = 60 GB.---ANSWER: You have used 60 GB of data.

Why It Matters

Understanding fractions like 3/4 is crucial for everyday life, from managing money to understanding recipes. It's a foundational concept for careers in finance, engineering, and even cooking, helping you measure and divide things accurately.

Common Mistakes

MISTAKE: Thinking 3/4 means '3 and 4' or '3 divided by 4 and then something else'. | CORRECTION: 3/4 is a single fraction representing a part of a whole. The line between 3 and 4 means 'divided by', so it's 3 divided into 4 parts, or 3 out of 4.

MISTAKE: Confusing the numerator and denominator, thinking 4/3 is the same as 3/4. | CORRECTION: The top number (numerator, 3) tells you how many parts you have. The bottom number (denominator, 4) tells you how many equal parts make up the whole. 4/3 is more than a whole, while 3/4 is less than a whole.

MISTAKE: When finding 3/4 of a number, only dividing by 4 and forgetting to multiply by 3. | CORRECTION: To find 3/4 of a number, first divide the number by the denominator (4) to find 1/4, then multiply that result by the numerator (3) to find 3/4.

Practice Questions

Try It Yourself

QUESTION: Your mom bought a cake and cut it into 4 equal pieces. If you eat 3 pieces, what fraction of the cake did you eat? | ANSWER: 3/4

QUESTION: A cricket match has 20 overs. If 3/4 of the overs have been bowled, how many overs are left? | ANSWER: 5 overs (15 overs bowled, 20 - 15 = 5 left)

QUESTION: A shop offers a 3/4 discount on a toy that originally costs Rs 400. How much do you have to pay for the toy after the discount? | ANSWER: Rs 100 (Discount is Rs 300, so 400 - 300 = 100)

MCQ

Quick Quiz

Which of these shows 3/4 of the objects shaded?

2 out of 4 circles shaded

3 out of 4 squares shaded

4 out of 3 triangles shaded

1 out of 4 stars shaded

The Correct Answer Is:

Option B shows 3 out of 4 equal squares shaded, which represents 3/4. The other options show different fractions or an incorrect representation.

Real World Connection

In the Real World

When you're buying vegetables at the local market, sometimes the vendor might say, 'Aapko 3/4 kilo tamatar chahiye?' (Do you want 3/4 kg tomatoes?). You also see 3/4 in recipes, like 'add 3/4 cup of milk', or when calculating discounts during festive sales.

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 in the whole | WHOLE: The entire item or quantity before it's divided

What's Next

What to Learn Next

Great job understanding 3/4! Next, you can learn about comparing fractions to see which one is bigger or smaller, and then move on to adding and subtracting fractions. These skills will help you solve even more interesting real-world problems!