Mathematics - Term 1 - Week 5

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. We divide 3 by 4, which equals 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 1/5 to a decimal. Dividing 1 by 5 gives us 0.2, which can also be represented on a number line.

Now, let's practice together. Convert the following fractions to decimals: 2/5 and 7/10. After converting, compare the decimals. Which is larger? Discuss your reasoning with a partner. Remember to show your working for each conversion.

Complete the following problems independently: 1) Convert 5/8 to a decimal. 2) Which is greater: 0.6 or 3/5? 3) If you have 0.25 of a pizza, what fraction of the pizza do you have? Show all your workings and be prepared to explain your answers.

• 0.25
• 0.4
• 0.5
• 0.75

Answer: 0.25

1 divided by 4 equals 0.25.

• 1/2
• 1/3
• 2/3
• 3/4

Answer: 1/2

0.5 is the decimal representation of the fraction 1/2.

Answer: 0.3

3 divided by 10 equals 0.3.

• 0.75
• 3/4
• They are equal
• 0.5

Answer: They are equal

0.75 is equivalent to 3/4.

Answer: 1/5

0.2 is equal to the fraction 1/5.

• 0.4
• 0.5
• 0.2
• 0.25

Answer: 0.4

2 divided by 5 equals 0.4.

Answer: 0.875

7 divided by 8 equals 0.875.

• 0.6
• 1/2
• 0.75
• 0.1

Answer: 1/2

1/2 is a fraction, while the others are decimals.