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 can also be represented 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 how fractions and decimals relate to each other.

Let's convert the fraction 3/4 to a decimal. To do this, divide 3 by 4. When you perform the division, you get 0.75. Therefore, 3/4 is equivalent to 0.75. We can also represent this visually by showing a pie chart divided into four equal parts, with three parts shaded to represent the fraction.

Now, let's work together on converting the fraction 2/5 to a decimal. First, divide 2 by 5. As a class, we can use a number line to show where 0.4 falls between 0 and 1. Discuss how many equal parts we need to divide the whole into to represent 2/5 accurately. After this, try converting 1/8 to a decimal using the same method.

Individually, solve the following problems: 1) Convert 5/8 to a decimal. 2) What is 0.25 as a fraction? 3) If you have 3.5, how can you express this as a fraction? Show all your working clearly. After completing these, review your answers with a partner and discuss any mistakes.

• 0.25
• 0.5
• 0.75
• 0.1

Answer: 0.25

1 divided by 4 equals 0.25.

• 3/5
• 2/3
• 1/2
• 4/5

Answer: 3/5

0.6 can be expressed as 6/10, which simplifies to 3/5.

Answer: 0.7

7 divided by 10 equals 0.7.

• 0.15
• 0.25
• 0.5
• 0.75

Answer: 0.15

3 divided by 20 equals 0.15.

Answer: 1/8

0.125 is equivalent to 1/8 when expressed as a fraction.

• 1.25
• 1.5
• 2
• 0.75

Answer: 1.25

5 divided by 4 equals 1.25.

Answer: 9/10

0.9 can be expressed as 9/10.

• 0.33
• 0.66
• 0.67
• 0.75

Answer: 0.67

2 divided by 3 is approximately 0.67.