Mathematics - Term 3 - Week 1

Fractions represent parts of a whole. For example, if a pizza is cut into 4 equal slices and you have 1 slice, you have 1/4 of the pizza. Decimals are another way to express parts of a whole, such as 0.25, which is equivalent to 1/4. Understanding how to convert between fractions and decimals is essential for solving various mathematical problems.

Let's convert the fraction 3/4 to a decimal. To do this, divide the numerator (3) by the denominator (4). When you perform the division, 3 ÷ 4 = 0.75. Therefore, 3/4 is equal to 0.75. Another example is converting 1/2 to a decimal. Dividing 1 by 2 gives us 0.5, so 1/2 = 0.5.

Now, let's practice together. I will write a few fractions on the board, and you will help me convert them to decimals. For example, what is 2/5 as a decimal? To find this, divide 2 by 5. What do you get? (Students will respond with 0.4). Great! Now, let's try 3/10. What is that as a decimal? (Students will respond with 0.3). Keep practicing with me as we convert more fractions!

Now it's your turn to work independently. Solve the following problems: 1) Convert 4/5 to a decimal. 2) What is 0.6 as a fraction? 3) If you have 3/8 of a chocolate bar, what is that as a decimal? Show your working for each problem. Remember to check your answers with a partner once you are done!

• 0.25
• 0.5
• 0.75
• 0.10

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.

• 3/4
• 1/2
• 1/4
• 2/3

Answer: 3/4

0.75 is equivalent to the fraction 3/4.

Answer: 0.2

2 divided by 10 equals 0.2.

• 1/3
• 2/5
• 1/2
• 3/10

Answer: 3/10

0.3 is equivalent to the fraction 3/10.

Answer: 0.625

5 divided by 8 equals 0.625.

• 0.7
• 0.75
• 0.5
• 0.9

Answer: 0.7

7 divided by 10 equals 0.7.