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 in decimal form. 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. We divide 3 by 4, which gives us 0.75. To visualize this, we can use a pie chart divided into 4 equal parts, shading 3 of them to represent 3/4. This shows that 3/4 is equivalent to 0.75 in decimal form.

Now, let's work together to convert the fraction 2/5 into a decimal. Start by dividing 2 by 5. What do you get? (Students will respond with 0.4). Great! To visualize this, we can draw a number line from 0 to 1 and mark 0.4 on it. This helps us see where 2/5 fits in relation to other fractions and decimals.

Now it's your turn! Solve the following problems on your own: 1) Convert 1/8 to a decimal. 2) What is 0.25 as a fraction? Show your working clearly. 3) If you have 3/10 of a pizza, how much is that in decimal form? Remember to use visual models if it helps you.

• 0.2
• 0.5
• 0.75
• 1.0

Answer: 0.5

1 divided by 2 equals 0.5.

• 3/4
• 1/2
• 2/5
• 1/4

Answer: 3/4

0.75 is the decimal representation of the fraction 3/4.

Answer: 0.6

3 divided by 5 equals 0.6.

• 1/10
• 1/5
• 1/2
• 1/4

Answer: 1/10

0.1 is equivalent to the fraction 1/10.

Answer: 0.875

7 divided by 8 equals 0.875.

• 0.33
• 0.66
• 0.67
• 0.75

Answer: 0.67

2 divided by 3 is approximately 0.67.

Answer: 2/5

0.4 is equivalent to the fraction 2/5.

• 0.25
• 0.5
• 0.75
• 0.1

Answer: 0.25

1 divided by 4 equals 0.25.