Mathematics - Term 3 - Week 1

Fractions represent parts of a whole, while decimals are another way to express those 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 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. To do this, we divide 3 by 4. Performing the division gives us 0.75. Therefore, 3/4 is equivalent to 0.75. Another example is converting 1/5 to a decimal. Dividing 1 by 5 results in 0.2. Thus, 1/5 is equal to 0.2. These conversions are essential for solving problems that involve both fractions and decimals.

Now, let's practice converting some fractions to decimals together. Convert the following fractions: 2/5, 3/8, and 5/6. For 2/5, divide 2 by 5 to get 0.4. For 3/8, dividing 3 by 8 gives us 0.375. Finally, for 5/6, dividing 5 by 6 results in approximately 0.833. Discuss these conversions with your partner and ensure you understand each step.

Now it's your turn to practice independently. Solve the following problems: 1) Convert 7/10 to a decimal. 2) What is 0.25 as a fraction? 3) If you have 3/5 of a pizza and you eat 1/5, how much pizza do you have left? Show your working clearly for each problem.

• 0.25
• 0.5
• 0.75
• 0.1

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: 0.625

5 divided by 8 equals 0.625.

• 0.3
• 0.03
• 0.33
• 0.5

Answer: 0.3

3 divided by 10 equals 0.3.

Answer: 3/4

0.75 can be expressed as 3/4.

• 0.4
• 0.2
• 0.5
• 0.8

Answer: 0.4

2 divided by 5 equals 0.4.

Answer: 1/6

1/3 - 1/6 = 2/6 = 1/3.

• 0.35
• 0.7
• 0.25
• 0.5

Answer: 0.35

7 divided by 20 equals 0.35.