What is 1/12 (One Twelfth)?

S1-SA2-0801

Grade Level:

Class 4

Maths, Time (months), Music

Definition

What is it?

1/12 (One Twelfth) means one part out of twelve equal parts of a whole. When you divide something into 12 identical pieces, one of those pieces is 1/12 of the whole.

Simple Example

Quick Example

Imagine you have a big delicious pizza cut into 12 equal slices. If you eat one slice, you have eaten 1/12 of the entire pizza. If your friend eats another slice, they also eat 1/12 of the pizza.

Worked Example

Step-by-Step

Let's say you have a rope that is 60 meters long. You want to cut 1/12 of its length for a project.
1. Understand the fraction: 1/12 means one part out of twelve equal parts.
2. Identify the total: The total length of the rope is 60 meters.
3. Divide the total by the denominator: To find one part, divide the total length by 12. So, 60 meters / 12.
4. Perform the division: 60 / 12 = 5.
5. The answer: 1/12 of 60 meters is 5 meters. So, you cut 5 meters of rope.

Why It Matters

Understanding 1/12 helps us divide things fairly and understand proportions in daily life. It's crucial in fields like architecture for precise measurements, in finance for calculating interest over months, and even in music for understanding time signatures and rhythm.

Common Mistakes

MISTAKE: Thinking 1/12 means 1 divided by 2, or 12 divided by 1. | CORRECTION: 1/12 means dividing the whole into 12 equal parts and taking one of those parts.

MISTAKE: Confusing 1/12 with 12/1. | CORRECTION: 1/12 is a small fraction (less than 1), while 12/1 is a whole number (12).

MISTAKE: Not ensuring the parts are equal when thinking about fractions. | CORRECTION: Fractions like 1/12 only make sense when the 'whole' is divided into *equal* parts.

Practice Questions

Try It Yourself

QUESTION: A year has 12 months. What fraction of a year is 1 month? | ANSWER: 1/12

QUESTION: Your school principal bought 240 laddoos for a festival. If 1/12 of them were distributed to Class 4 students, how many laddoos did Class 4 get? | ANSWER: 20 laddoos (240 / 12 = 20)

QUESTION: A baker made 144 cupcakes. He sold 1/12 of them in the morning and another 1/12 in the afternoon. How many cupcakes did he sell in total? | ANSWER: 24 cupcakes (1/12 of 144 is 12. So, 12 + 12 = 24)

MCQ

Quick Quiz

Which of these represents 1/12?

One part out of twelve unequal parts

Twelve parts out of one whole

One part out of twelve equal parts

One divided by two

The Correct Answer Is:

Option C correctly defines 1/12 as one part out of twelve *equal* parts. The equality of parts is key for fractions. Options A, B, and D describe incorrect or different concepts.

Real World Connection

In the Real World

In India, when we talk about monthly budgets or savings, we often think in terms of 1/12 of an annual income or expense. For example, if your family saves Rs 1,20,000 in a year, then 1/12 of that amount, which is Rs 10,000, is saved each month.

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. | EQUAL PARTS: Parts that are exactly the same in size or value.

What's Next

What to Learn Next

Now that you understand 1/12, you can explore other unit fractions like 1/2, 1/4, and 1/8. This will help you compare different fractions and solve more complex problems involving parts of a whole.