Mathematics - Term 1 - Week 5

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 how fractions and decimals relate to each other.

Let's convert the fraction 3/4 to a decimal. We divide 3 by 4, which gives us 0.75. To visualize this, we can use a pie chart divided into four equal parts, shading three parts to represent 3/4. This shows that 3/4 is equivalent to 0.75 in decimal form.

Now, let's practice converting 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 compare your methods.

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, then convert the result to a decimal. Show all your working clearly. After completing the problems, review your answers with a peer and discuss any discrepancies.

• 0.2
• 0.5
• 0.75
• 1.0

Answer: 0.5

1 divided by 2 equals 0.5.

• 3/4
• 1/2
• 2/3
• 5/8

Answer: 3/4

0.75 is the decimal representation 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: 1/8

0.125 is equivalent to 1/8.

• 1/2
• 1/3
• 1/6
• 1/4

Answer: 1/2

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

Answer: 3/5

0.6 is equivalent to 6/10, which simplifies to 3/5.

• 1/2
• 1/5
• 7/10
• 1

Answer: 7/10

2/5 + 3/10 = 4/10 + 3/10 = 7/10.