What is 1/6 (One Sixth)?

S1-SA2-0797

Grade Level:

Class 3

Maths, Chemistry, Physics, Music

Definition

What is it?

One sixth (1/6) means one part out of six equal parts of a whole. Imagine dividing something into 6 identical pieces; one of those pieces is 1/6 of the whole.

Simple Example

Quick Example

Suppose you have a delicious pizza cut into 6 equal slices. If you eat one slice, you have eaten 1/6 of the pizza. If your friend eats another slice, they also eat 1/6 of the pizza.

Worked Example

Step-by-Step

Let's say a box contains 18 ladoos. You want to give 1/6 of the ladoos to your neighbour. How many ladoos will your neighbour get?

1. Identify the total number of items: Total ladoos = 18.
---2. Understand what 1/6 means: It means dividing the total into 6 equal parts and taking 1 part.
---3. Divide the total by the denominator (6): 18 ÷ 6.
---4. Perform the division: 18 ÷ 6 = 3.
---5. This means each 'part' is 3 ladoos.
---6. Since you are giving 1/6, you give 1 part.
---Answer: Your neighbour will get 3 ladoos.

Why It Matters

Understanding fractions like 1/6 is crucial in everyday life and many subjects. In Maths, it helps with division and ratios. In Physics, you might divide forces or energies. In Chemistry, you could talk about parts of a solution. It's also used by chefs to measure ingredients, engineers to divide resources, and even musicians to understand rhythm and timing.

Common Mistakes

MISTAKE: Thinking 1/6 means taking 1 part and leaving 6 parts. | CORRECTION: 1/6 means taking 1 part out of a total of 6 EQUAL parts.

MISTAKE: Confusing 1/6 with 6/1 or 1 divided by 6. | CORRECTION: 1/6 is a fraction representing a part of a whole, where the whole is divided into 6 parts. It is not the same as 6, nor is it just a division sum without context.

MISTAKE: Not ensuring the parts are equal when visualizing 1/6. | CORRECTION: For 1/6 to be accurate, the 'whole' must be divided into 6 parts of exactly the same size or quantity.

Practice Questions

Try It Yourself

QUESTION: A school bus has 30 seats. If 1/6 of the seats are empty, how many seats are empty? | ANSWER: 5 seats

QUESTION: You have a ribbon that is 24 cm long. If you cut off 1/6 of the ribbon, how long is the piece you cut off? | ANSWER: 4 cm

QUESTION: A farmer harvested 42 kg of mangoes. He sold 1/6 of them in the morning and another 1/6 in the afternoon. How many kg of mangoes did he sell in total? | ANSWER: 14 kg

MCQ

Quick Quiz

Which of the following represents 1/6 of a group of 12 pencils?

1 pencil

2 pencils

6 pencils

12 pencils

The Correct Answer Is:

To find 1/6 of 12, you divide 12 by 6, which equals 2. So, 1/6 of 12 pencils is 2 pencils. The other options are incorrect because they don't represent one part out of six equal parts.

Real World Connection

In the Real World

When you are sharing a cake with 5 friends (making a total of 6 people), each person gets 1/6 of the cake. Or, if you are mixing colours for an art project and the instructions say to add 1/6 part red paint to 5 parts white paint, you are using the concept of one sixth.

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 quantity or object before it's divided

What's Next

What to Learn Next

Great job understanding 1/6! Next, you can explore other unit fractions like 1/2, 1/3, and 1/4, and then move on to fractions where the numerator is greater than 1, like 2/6 or 3/6. This will build a strong foundation for all your fraction calculations!