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. 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, 1 part represents 1/4, which is equal to 0.25 in decimal form.

Let's convert the fraction 3/4 to a decimal. We divide 3 by 4. When we do this, we get 0.75. To visualize this, we can use a number line where 0.75 is located between 0.7 and 0.8. Another example is converting 2/5 to a decimal. Dividing 2 by 5 gives us 0.4. This shows how fractions can be represented in decimal form.

Now, let's practice converting some fractions to decimals together. Convert the following fractions: 1/8, 3/10, and 5/6. For 1/8, divide 1 by 8 to get 0.125. For 3/10, dividing gives us 0.3. Lastly, 5/6 divided gives us approximately 0.833. Use visual models to represent these fractions on a number line or pie chart to reinforce understanding.

Now it's your turn! Solve the following problems independently: 1) Convert 7/10 to a decimal. 2) What is 1/3 as a decimal? 3) If you have 0.6, what fraction does this represent? Show your working for each problem and use visual models if necessary. After you finish, 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
• 2/5
• 3/8

Answer: 1/4

0.25 is equal to 1 divided by 4.

Answer: 0.8

4 divided by 5 equals 0.8.

• 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 divided by 4.

• 0.4
• 0.5
• 0.2
• 0.25

Answer: 0.4

2 divided by 5 equals 0.4.

Answer: 0.125

1 divided by 8 equals 0.125.

• 0.83
• 0.75
• 0.67
• 0.5

Answer: 0.83

5 divided by 6 equals approximately 0.833.