Mathematics - Term 4 - Week 9

Fractions represent parts of a whole. For example, if we have a pizza cut into 4 equal slices and we take 1 slice, we have 1 out of 4 slices, which is written as 1/4. We can also represent fractions using shapes, like circles or rectangles, to show how much of the shape is shaded or colored.

Decimals are another way to show parts of a whole, but they use a different system. For example, 0.5 represents half of something. If we think of a dollar, 0.5 means 50 cents, which is half of a dollar. Decimals can be used to show fractions in a different format.

Let's say we have a chocolate bar divided into 8 pieces. If I eat 3 pieces, I can say I have eaten 3/8 of the chocolate bar. We can draw a picture of the chocolate bar and shade in 3 pieces to visualize this fraction.

If we have a cake that is cut into 10 equal pieces and I eat 4 pieces, I can say I have eaten 0.4 of the cake. This means I have eaten 4 out of 10 pieces. We can write this as a decimal because it shows the same part of the whole.

Let's look at this circle divided into 4 equal parts. If I color in 2 parts, what fraction do we have? Yes, we have 2/4, which can also be simplified to 1/2. Now, let’s practice with another shape. How many parts do we have if I color in 1 out of 3 parts? That's right, it's 1/3!

Now, let’s think about a number line from 0 to 1. If I mark 0.25, where would that be? It’s a quarter of the way to 1. Let’s practice placing other decimals like 0.5 and 0.75 on the number line together.

Now it's your turn! Draw a shape and divide it into 6 equal parts. Color in 2 parts and write the fraction. Then, think about how you could express that as a decimal. After that, solve these problems: If you have 10 candies and you give away 3, what fraction do you have left? And what decimal would that be?

Try to create your own fraction and decimal problems. For example, if you have a pizza cut into 8 slices and you eat 5, what fraction do you have left? What decimal would that be? Share your problems with a friend and see if they can solve them!

• 3/5
• 5/3
• 1/5
• 4/5

Answer: 3/5

3/5 shows that 3 parts are taken from a total of 5 equal parts.

• 0.5
• 0.25
• 0.75
• 1.0

Answer: 0.5

0.5 represents half of a whole.

Answer: 3/4

You have 3 out of 4 pieces left, which is 3/4.

• 1/4
• 1/2
• 3/4
• 1/10

Answer: 1/4

0.25 means 25 out of 100, which simplifies to 1/4.

Answer: 3/8

You have shaded 3 out of 8 parts, which is 3/8.

• 6/10
• 4/10
• 1/2
• 3/10

Answer: 6/10

You have 6 apples left out of 10, which is 6/10.

Answer: 0.3

3 out of 10 is represented as 0.3 in decimal form.

• 1/2
• 3/4
• 2/3
• 4/4

Answer: 1/2

2/4 simplifies to 1/2, meaning one half of the whole.