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. To visualize this, we can use pie charts or number lines. A pie chart can show how a whole is divided into equal parts, while a number line can help us see where fractions and decimals fall in relation to whole numbers.

Let's convert the fraction 3/4 into a decimal. To do this, we divide the numerator (3) by the denominator (4). When we perform the division, we find that 3 ÷ 4 = 0.75. Therefore, 3/4 is equivalent to 0.75. We can also represent this on a number line, showing that 0.75 is three-quarters of the way between 0 and 1.

Now, let's practice converting some fractions to decimals together. Convert the following fractions: 1/2, 2/5, and 5/8. For 1/2, divide 1 by 2 to get 0.5. For 2/5, divide 2 by 5 to get 0.4. Finally, for 5/8, divide 5 by 8 to get 0.625. Discuss how each fraction can be represented visually using pie charts or number lines.

Now it's your turn! Solve the following problems on your own: 1) Convert 4/10 to a decimal. 2) What is 7/8 as a decimal? 3) If you have 0.25 of a pizza, what fraction of the pizza do you have? Show your working clearly for each problem.

• 0.25
• 0.5
• 0.75
• 0.1

Answer: 0.25

1 divided by 4 equals 0.25.

• 1/4
• 1/2
• 3/4
• 2/5

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
• 0.8
• 0.1

Answer: 0.2

2 divided by 10 equals 0.2.

Answer: 3/4

0.75 is equivalent to 3/4.

• 0.125
• 0.25
• 0.5
• 0.75

Answer: 0.125

1 divided by 8 equals 0.125.

Answer: 0.7

7 divided by 10 equals 0.7.

• 1.25
• 1.5
• 0.75
• 0.5

Answer: 1.25

5 divided by 4 equals 1.25.