Mathematics - Term 4 - Week 9

Fractions represent parts of a whole, while decimals are another way to express these parts. For example, the fraction 1/2 is equivalent to the decimal 0.5. To convert a fraction to a decimal, divide the numerator by the denominator. Visual models, such as pie charts or number lines, can help illustrate these concepts. For instance, if we have a pie divided into 4 equal parts and shade 1 part, we can see that this represents 1/4 or 0.25.

Let's convert the fraction 3/4 to a decimal. We divide 3 by 4. When we do this, we get 0.75. To visualize this, we can use a number line. Mark 0 and 1 on the line, and then divide the space into 4 equal parts. The third mark will be at 0.75, showing that 3/4 is indeed 0.75 in decimal form.

Now, let's work together on converting the fraction 2/5 to a decimal. First, divide 2 by 5. What do you get? (Students will respond.) Correct! You get 0.4. To visualize this, draw a number line from 0 to 1 and divide it into 5 equal parts. The second mark will be at 0.4. Let's try another one: convert 1/8 to a decimal. How can we represent this on a visual model?

Now it's your turn! Solve these problems on your own. 1. Convert 5/8 to a decimal. 2. What is 0.6 as a fraction? 3. If you have 3/10 of a pizza, how much is that in decimal form? Show your working clearly. After you finish, review your answers with a partner and discuss any mistakes.

• 0.2
• 0.5
• 0.75
• 0.25

Answer: 0.5

1 divided by 2 equals 0.5.

• 1/2
• 1/4
• 3/4
• 2/5

Answer: 1/4

0.25 is the decimal representation of 1 divided by 4.

Answer: 0.6

3 divided by 5 equals 0.6.

• 0.7
• 0.07
• 1.7
• 0.17

Answer: 0.7

7 divided by 10 equals 0.7.

Answer: 4/5

0.8 can be expressed as 8/10, which simplifies to 4/5.

• 1/10
• 1/5
• 1/2
• 1/4

Answer: 1/10

0.1 is the decimal representation of 1 divided by 10.

Answer: 0.6667

4 divided by 6 equals approximately 0.6667.

• 0.33
• 0.66
• 0.67
• 0.75

Answer: 0.67

2 divided by 3 equals approximately 0.67.