Mathematics - Term 3 - Week 1

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, you can 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 equals 0.75. To visualize this, we can use a pie chart divided into 4 equal parts, shading 3 of them to show that 3/4 is equivalent to 0.75. Another example is converting 1/5 to a decimal, which equals 0.2 when we divide 1 by 5.

Now, let's practice converting some fractions to decimals as a class. Convert 2/5 to a decimal. Divide 2 by 5, which gives us 0.4. Next, let's convert 7/10. Dividing 7 by 10 gives us 0.7. As we work through these examples, remember to use visual models to help understand the conversions.

Now it's your turn! Convert the following fractions to decimals: 1/8, 5/6, and 3/10. Show your working clearly. After you finish, check your answers with a partner and discuss any mistakes you made. Remember, if you find an error, think about how you can correct your strategy.

• 0.25
• 0.5
• 0.75
• 0.1

Answer: 0.25

1 divided by 4 equals 0.25.

• 1/4
• 1/2
• 3/4
• 2/3

Answer: 1/2

0.5 is the decimal representation of the fraction 1/2.

Answer: 0.6

3 divided by 5 equals 0.6.

• 0.2
• 0.5
• 0.1
• 0.3

Answer: 0.2

2 divided by 10 equals 0.2.

Answer: 0.875

7 divided by 8 equals 0.875.

• 0.25
• 0.5
• 0.75
• 1.0

Answer: 0.75

3 divided by 4 equals 0.75.

Answer: 0.8

4 divided by 5 equals 0.8.

• 0.2
• 0.5
• 0.75
• 0.1

Answer: 0.5

1 divided by 2 equals 0.5.