Mathematics - Term 4 - Week 9

Fractions represent a part of a whole. For example, if we have a pizza divided into 4 equal slices and we take 1 slice, we have 1/4 of the pizza. We can also represent fractions using visual models, such as pie charts or number lines. Decimals are another way to express parts of a whole, where 0.25 is equivalent to 1/4. Understanding how to convert between fractions and decimals is essential.

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 find that 3 ÷ 4 = 0.75. Therefore, 3/4 is equal to 0.75. We can visualize this by shading 3 out of 4 parts of a square to see that it covers 75% of the area.

Now, let's practice identifying fractions and decimals. I will show you a visual model of a chocolate bar divided into 8 equal pieces. If 3 pieces are shaded, what fraction of the chocolate bar is shaded? (Answer: 3/8). What decimal does this fraction represent? (Answer: 0.375). Work with a partner to create your own visual models and identify the fractions and decimals.

Complete the following problems independently: 1. If you have 5/6 of a cake left, what decimal represents this fraction? 2. Convert 0.5 to a fraction. 3. Draw a number line and mark 1/2, 1/4, and 3/4 on it. 4. Solve: If you eat 2/5 of a pizza, what decimal represents the part you ate? Show your working clearly.

• 0.2
• 0.5
• 0.75
• 1.0

Answer: 0.5

1/2 is equivalent to 0.5 when expressed as a decimal.

• 1/2
• 1/4
• 3/4
• 2/5

Answer: 1/4

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

Answer: 0.4

Dividing 2 by 5 gives us 0.4.

• 3/4
• 1/2
• 1/3
• 2/5

Answer: 3/4

0.75 is equivalent to the fraction 3/4.

Answer: 0.4

4 divided by 10 equals 0.4.

• 0.33
• 0.5
• 0.25
• 0.75

Answer: 0.33

1/3 is approximately equal to 0.33 when rounded.

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.