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 written as 0.5 in decimal form. To visualize this, we can use pie charts or number lines. A pie chart can show how 1/2 of a pie is equal to 0.5 of the whole pie. Understanding this relationship helps us convert between fractions and decimals easily.

Let's convert the fraction 3/4 to a decimal. To do this, we divide the numerator (3) by the denominator (4). When we perform the division, we get 0.75. Therefore, 3/4 is equivalent to 0.75. We can check our work by multiplying 0.75 by 4, which gives us back 3, confirming our conversion is correct.

Now, let's practice converting some fractions to decimals together. Convert the following fractions: 1/4, 2/5, and 5/8. For each fraction, divide the numerator by the denominator. After completing the conversions, we will discuss the answers as a class. Remember to show your working for each conversion!

Now it's your turn to work independently. Solve the following problems: 1) Convert 7/10 to a decimal. 2) What is 1/3 as a decimal? 3) If you have 0.6 of a pizza, what fraction of the pizza do you have? Show your working for each problem, and be prepared to share your answers with a partner.

• 0.2
• 0.5
• 0.75
• 1.0

Answer: 0.5

1/2 is equivalent to 0.5 when converted to decimal form.

• 1/2
• 1/4
• 3/4
• 2/5

Answer: 1/4

0.25 is the decimal representation of the fraction 1/4.

Answer: 0.6

Dividing 3 by 5 gives us 0.6.

• 0.2
• 0.5
• 0.8
• 1.0

Answer: 0.2

2 divided by 10 equals 0.2.

Answer: 3/4

0.75 is equivalent to 3/4.

• 0.4
• 0.5
• 0.8
• 0.9

Answer: 0.8

4 divided by 5 equals 0.8.

Answer: 0.625

Dividing 5 by 8 gives us 0.625.

• 1/10
• 1/5
• 1/2
• 1/4

Answer: 1/10

0.1 is equivalent to the fraction 1/10.