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 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 these concepts. For instance, if we have a pie divided into 4 equal parts, taking 1 part represents the fraction 1/4, which is equivalent to 0.25 in decimal form.

Let's convert the fraction 3/4 to a decimal. We divide 3 by 4. Performing the division, we get 0.75. Therefore, 3/4 is equivalent to 0.75. Another example is converting 1/8 to a decimal. Dividing 1 by 8 gives us 0.125. This shows how fractions can be expressed in decimal form.

Now, let's practice converting fractions to decimals together. Convert the following fractions: 2/5 and 5/8. For 2/5, divide 2 by 5, which equals 0.4. For 5/8, divide 5 by 8, which equals 0.625. Discuss with your partner how you arrived at these answers and any strategies you used.

Independently, solve these problems: 1) Convert 7/10 to a decimal. 2) Convert 1/3 to a decimal. 3) If you have 0.6 of a pizza left, what fraction of the pizza is that? Show all your working clearly. After completing the problems, review your answers with a peer and discuss any mistakes.

• 0.25
• 0.5
• 0.75
• 1.0

Answer: 0.25

1 divided by 4 equals 0.25.

• 1/5
• 1/4
• 1/2
• 2/5

Answer: 1/5

0.2 is the decimal representation of 1 divided by 5.

Answer: 0.375

3 divided by 8 equals 0.375.

• 0.1
• 0.5
• 0.05
• 1.0

Answer: 0.5

5 divided by 10 equals 0.5.

Answer: 3/4

0.75 is the decimal representation of 3 divided by 4.

• 0.3
• 1/2
• 0.75
• 0.125

Answer: 1/2

1/2 is a fraction, not a decimal.

Answer: 0.6667

2 divided by 3 equals approximately 0.6667.

• 0.05
• 0.1
• 0.2
• 0.25

Answer: 0.05

1 divided by 20 equals 0.05.