Mathematics - Term 3 - Week 1

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 the decimal 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 how fractions and decimals relate to each other.

Let's convert the fraction 3/4 to a decimal. To do this, divide 3 by 4. Performing the division gives us 0.75. Therefore, 3/4 is equivalent to 0.75. We can also visualize this by dividing a pie into 4 equal parts and shading 3 of them, which visually represents 0.75 of the pie.

Now, let's practice converting some fractions to decimals together. Convert the following fractions: 1/5, 2/3, and 5/8. For 1/5, divide 1 by 5 to get 0.2. For 2/3, divide 2 by 3 to get approximately 0.67. For 5/8, divide 5 by 8 to get 0.625. Discuss the results with your partner and share any visual models you used.

Now it's your turn to practice independently. Convert the following fractions to decimals: 7/10, 4/5, and 1/8. After converting, write a short explanation of how you arrived at each answer. Remember to show your working clearly.

• 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
• 0.02
• 0.25

Answer: 0.2

2 divided by 10 equals 0.2.

• 0.375
• 0.5
• 0.25
• 0.625

Answer: 0.375

3 divided by 8 equals 0.375.

Answer: 3/4

0.75 can be expressed as the fraction 3/4.

• 0.83
• 0.75
• 0.67
• 0.85

Answer: 0.83

5 divided by 6 equals approximately 0.83.

Answer: 0.1

1 divided by 10 equals 0.1.