What is 1/7 (One Seventh)?

S1-SA2-0798

Grade Level:

Class 4

Maths, Calendar (days in a week)

Definition

What is it?

1/7 (one seventh) is a fraction that represents one part out of seven equal parts of a whole. It means if you divide something into 7 identical pieces, one of those pieces is 1/7 of the original.

Simple Example

Quick Example

Imagine you have a delicious pizza cut into 7 equal slices. If you eat just one slice, you have eaten 1/7 of the entire pizza. The remaining 6 slices make up 6/7 of the pizza.

Worked Example

Step-by-Step

PROBLEM: There are 21 laddoos in a box. If you want to give 1/7 of the laddoos to your friend, how many laddoos will your friend get?
---STEP 1: Understand the total. Total laddoos = 21.
---STEP 2: Understand the fraction. We need to find 1/7 of the total.
---STEP 3: To find a fraction of a number, divide the total number by the denominator (the bottom number of the fraction).
---STEP 4: Divide 21 by 7. So, 21 ÷ 7.
---STEP 5: 21 ÷ 7 = 3.
---ANSWER: Your friend will get 3 laddoos.

Why It Matters

Understanding 1/7 helps you divide things fairly and understand proportions. It's crucial for everyday tasks like sharing food or calculating discounts. Engineers use fractions to design parts, and chefs use them to adjust recipes.

Common Mistakes

MISTAKE: Thinking 1/7 means 7 parts are taken out of 1. | CORRECTION: 1/7 means 1 part is taken out of 7 equal parts that make up the whole.

MISTAKE: Confusing 1/7 with 7/1. | CORRECTION: 1/7 is a small part of a whole, while 7/1 (or 7) means seven whole units.

MISTAKE: Calculating 1/7 of a number by multiplying the number by 7. | CORRECTION: To find 1/7 of a number, you must divide the number by 7.

Practice Questions

Try It Yourself

QUESTION: A week has 7 days. What fraction of a week is 1 day? | ANSWER: 1/7

QUESTION: Your mom bought 14 oranges. She wants to use 1/7 of them to make juice. How many oranges will she use? | ANSWER: 2 oranges (14 ÷ 7 = 2)

QUESTION: A cricket team scored 70 runs in total. If 1/7 of the runs were scored by boundary fours, how many runs came from fours? If the rest were singles, how many singles were scored? | ANSWER: 10 runs from fours (70 ÷ 7 = 10). 60 runs from singles (70 - 10 = 60).

MCQ

Quick Quiz

Which of the following represents 1/7?

One part out of one

Seven parts out of one

One part out of seven equal parts

Seven parts out of seven equal parts

The Correct Answer Is:

1/7 means one part from a total of seven equal parts. Options A, B, and D describe different fractional or whole concepts.

Real World Connection

In the Real World

When you look at a calendar, you see that a week has 7 days. Each day represents 1/7 of the week. This is a very common way we experience 'one seventh' in our daily lives without even thinking about it.

Key Vocabulary

Key Terms

FRACTION: 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

What's Next

What to Learn Next

Now that you understand 1/7, you're ready to learn about other unit fractions like 1/2, 1/3, and 1/4. This will help you understand fractions with different numerators like 2/7 or 3/7, which is a super useful skill!