Mathematics - Term 2 - Week 3

Fractions represent parts of a whole, while decimals are another way to express these parts. For example, the fraction 1/2 can also be written as 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 chart divided into 4 equal parts, shading 2 parts shows the fraction 2/4, which simplifies to 1/2 or 0.5 in decimal form.

Let's convert the fraction 3/4 into a decimal. To do this, divide 3 by 4. Performing the division gives us 0.75. Therefore, 3/4 is equivalent to 0.75. We can also visualize this by dividing a square into 4 equal parts and shading 3 of them, which shows that 3 parts out of 4 is 0.75 of the whole.

Now, let's work together on converting the fraction 2/5 into a decimal. First, divide 2 by 5. As a class, we can use a number line to help visualize this. Mark 0 and 1 on the number line and divide the space into 5 equal parts. Each part represents 0.2. Since 2 parts are shaded, we find that 2/5 equals 0.4. Discuss with your partner how visual models helped you understand this conversion.

Now it's your turn! Convert the following fractions to decimals and show your working: 1) 1/8, 2) 3/10, 3) 5/6. After converting, draw a visual model for each fraction. Remember to check your work and see if you can identify any mistakes. If you find any errors, discuss with a classmate how you could correct them.

• 0.25
• 0.5
• 0.75
• 0.1

Answer: 0.25

1 divided by 4 equals 0.25.

• 1/5
• 2/5
• 1/4
• 3/10

Answer: 1/5

0.2 is the decimal representation of 1 divided by 5.

Answer: 0.375

3 divided by 8 equals 0.375.

• 0.7
• 0.07
• 0.17
• 1.7

Answer: 0.7

7 divided by 10 equals 0.7.

Answer: 1.25

5 divided by 4 equals 1.25.

• 3/4
• 1/2
• 2/3
• 5/6

Answer: 3/4

0.75 is the decimal representation of 3 divided by 4.

Answer: 0.45

9 divided by 20 equals 0.45.

• 0.66
• 0.67
• 0.65
• 0.68

Answer: 0.67

2 divided by 3 is approximately 0.67.