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What is 2/7 (Two Sevenths)?
Grade Level:
Class 5
Maths
Definition
What is it?
2/7 (Two Sevenths) is a fraction. It means you have divided something into 7 equal parts, and you are considering 2 of those parts. The number '2' is the numerator (parts taken), and '7' is the denominator (total equal parts).
Simple Example
Quick Example
Imagine you have a delicious round pizza cut into 7 equal slices. If you eat 2 of those slices, you have eaten 2/7 of the pizza. This fraction tells us how much of the whole pizza you consumed.
Worked Example
Step-by-Step
PROBLEM: Reena has 7 colourful bangles. She wants to give 2 of them to her friend, Priya. What fraction of her bangles does Reena give to Priya?
STEP 1: Identify the total number of equal parts. Reena has 7 bangles in total. So, the denominator is 7.
---STEP 2: Identify the number of parts being considered. Reena gives 2 bangles to Priya. So, the numerator is 2.
---STEP 3: Write the fraction. The fraction is (number of parts considered) / (total number of equal parts).
---STEP 4: Substitute the values. Fraction = 2 / 7.
---ANSWER: Reena gives 2/7 of her bangles to Priya.
Why It Matters
Understanding fractions like 2/7 is super important for everyday life and higher maths. You'll use them to calculate discounts, share food, or even understand data in science. Engineers and business managers use fractions constantly to divide resources and plan projects.
Common Mistakes
MISTAKE: Thinking 2/7 means 2 out of 7, but not necessarily equal parts. | CORRECTION: Fractions ALWAYS refer to equal parts. If the parts aren't equal, you can't use a simple fraction like 2/7.
MISTAKE: Confusing the numerator and denominator, for example, writing 7/2 instead of 2/7 when considering 2 parts out of 7. | CORRECTION: Remember, the numerator (top number) tells you 'how many parts you have', and the denominator (bottom number) tells you 'how many total equal parts make the whole'.
MISTAKE: Believing 2/7 is a whole number. | CORRECTION: 2/7 is a part of a whole, which means it's less than 1. It's not a whole number like 1, 2, or 3.
Practice Questions
Try It Yourself
QUESTION: A cricket team scored 7 runs in an over, and 2 of those runs came from boundaries. What fraction of the runs in that over came from boundaries? | ANSWER: 2/7
QUESTION: You have a chocolate bar divided into 7 equal pieces. If you eat 2 pieces, what fraction of the chocolate bar is left? | ANSWER: 5/7 (because 7 - 2 = 5 pieces left)
QUESTION: A bus has 7 seats. 2 seats are empty. What fraction of the seats are occupied by passengers? | ANSWER: 5/7 (because 7 - 2 = 5 seats occupied)
MCQ
Quick Quiz
Which of these scenarios correctly represents 2/7?
You have 7 apples and eat 2 of them.
You cut a cake into 2 pieces and eat 7 of them.
You have 2 oranges and give away 7 oranges.
You have 7 crayons and give away 5 crayons.
The Correct Answer Is:
A
Option A correctly shows 2 parts out of a total of 7 equal parts. Options B, C, and D do not correctly represent 2/7 as a fraction.
Real World Connection
In the Real World
When you buy gold jewellery, the purity is often given in karats, like 22K (22 parts gold out of 24 total). Similarly, if a recipe calls for 2/7 of a cup of milk, you need to measure out that exact portion. Even in online shopping, customer reviews might show '2 out of 7 people rated this product excellent', which is 2/7 of the total reviewers.
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 entire object or quantity before being divided
What's Next
What to Learn Next
Great job understanding 2/7! Next, you should explore 'Equivalent Fractions'. This will teach you how different fractions can represent the same amount, which is super useful for comparing and adding fractions later on.
