Mathematics - Term 2 - Week 3

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 expressed as 0.5. 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. For instance, if we have a pie divided into 4 equal parts, taking 1 part represents the fraction 1/4, which is equivalent to 0.25 in decimal form.

Let's convert the fraction 3/4 to a decimal. We divide 3 by 4. Performing the division gives us 0.75. Therefore, 3/4 is equivalent to 0.75. Another example is converting 1/5 to a decimal. Dividing 1 by 5 results in 0.2. This shows how fractions can be easily converted to decimals through division.

Now, let's practice converting some fractions to decimals as a class. Convert the fraction 2/3 to a decimal. Start by dividing 2 by 3. What do you get? (Students will respond with 0.6667). Great! Now, let's try another one: convert 5/8 to a decimal. (Students will respond with 0.625). Remember to show your working clearly!

Now it's your turn to practice on your own. Solve the following problems: 1) Convert 7/10 to a decimal. 2) Convert 1/8 to a decimal. 3) If you have 0.4, what fraction does this represent? Show all your workings clearly. After completing these, review your answers with a partner and discuss any mistakes.

• 0.2
• 0.5
• 0.75
• 1.0

Answer: 0.5

1 divided by 2 equals 0.5.

• 1/2
• 1/4
• 3/4
• 2/5

Answer: 1/4

0.25 is equal to 1 divided by 4.

Answer: 0.6

3 divided by 5 equals 0.6.

• 0.7
• 0.17
• 0.75
• 0.9

Answer: 0.7

7 divided by 10 equals 0.7.

Answer: 4/5

0.8 is equivalent to 4 divided by 5.

• 0.5
• 1/3
• 0.75
• 0.1

Answer: 1/3

1/3 is a fraction, not a decimal.

Answer: 0.45

9 divided by 20 equals 0.45.

• 0.1
• 0.01
• 0.5
• 0.05

Answer: 0.1

1 divided by 10 equals 0.1.