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 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 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. When you perform the division, you get 0.75. Therefore, 3/4 is equivalent to 0.75. Another example is converting 1/5 to a decimal. Dividing 1 by 5 gives us 0.2. So, 1/5 is equivalent to 0.2.

Now, let's practice converting some fractions to decimals together. Convert the following fractions: 2/3 and 5/8. For 2/3, divide 2 by 3, which gives approximately 0.67. For 5/8, dividing 5 by 8 results in 0.625. Discuss with your partner how you arrived at these answers and what strategies you used.

Individually, solve these problems: 1) Convert 7/10 to a decimal. 2) What is 0.25 as a fraction? 3) Add 1/4 and 1/2, and express your answer as a decimal. 4) Subtract 0.6 from 1.0. Show all your working clearly. After completing the problems, review your answers with a peer and discuss any mistakes.

• 0.2
• 0.5
• 0.75
• 1.0

Answer: 0.5

1 divided by 2 equals 0.5.

• 3/4
• 1/2
• 2/3
• 5/6

Answer: 3/4

0.75 is the decimal form of the fraction 3/4.

Answer: 0.8

4 divided by 5 equals 0.8.

• 0.1
• 0.01
• 0.5
• 1.0

Answer: 0.1

1 divided by 10 equals 0.1.

Answer: 2/5

0.4 can be expressed as 4/10, which simplifies to 2/5.

• 1/2
• 1/6
• 1/3
• 1/2

Answer: 1/2

1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2.

Answer: 0.1

1.0 - 0.9 equals 0.1.

• 0.5
• 0.625
• 0.75
• 0.8

Answer: 0.625

5 divided by 8 equals 0.625.