Mathematics - Term 4 - Week 9

Fractions represent a part 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 these concepts, making it easier to see how fractions and decimals relate to one another.

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 number line where 0 is the starting point and 1 is the endpoint. The point 0.75 is three-quarters of the way from 0 to 1. Another example is converting 2/5 to a decimal. Dividing 2 by 5 gives us 0.4. Again, we can place this on a number line to see its position relative to whole numbers.

Now, let's practice converting some fractions to decimals together. Convert the fraction 1/8 to a decimal. Start by dividing 1 by 8. What do you get? (Students will find that 1/8 = 0.125). Next, let's convert 5/6 to a decimal. Divide 5 by 6. (Students will find that 5/6 = 0.8333). Discuss how these decimals can be represented on a number line and how they relate to their fractional forms.

Now it's your turn to practice independently. Solve the following problems: 1) Convert 7/10 to a decimal. 2) Convert 3/5 to a decimal. 3) If you have 0.25 of a pizza, what fraction of the pizza do you have? 4) What is 0.6 as a fraction? Show all your working clearly. After completing these, review your answers and check for any mistakes.

• 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: 0.6667

2 divided by 3 gives approximately 0.6667.

• 0.3
• 0.03
• 0.33
• 0.5

Answer: 0.3

3 divided by 10 equals 0.3.

Answer: 3/4

0.75 is equivalent to 3/4.

• 0.625
• 0.5
• 0.75
• 0.8

Answer: 0.625

5 divided by 8 equals 0.625.

Answer: 0.8

4 divided by 5 equals 0.8.

• 0.05
• 0.1
• 0.2
• 0.25

Answer: 0.05

1 divided by 20 equals 0.05.