Mathematics - Term 3 - Week 1

Fractions represent parts of a whole, while decimals are another way to express these parts. For example, the fraction 1/2 is equivalent to 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 and show 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 number line where 0.75 is located between 0.7 and 0.8. Another example is converting 2/5 to a decimal: dividing 2 by 5 results in 0.4. This process can be practiced with various fractions to reinforce understanding.

Now, let's practice together. Convert the following fractions to decimals: 1/8, 5/6, and 7/10. After converting, compare the decimals to determine which is larger. For instance, 1/8 converts to 0.125, 5/6 converts to approximately 0.833, and 7/10 is 0.7. Discuss as a class which decimal is the largest and why.

Individually, solve these problems: 1) Convert 4/5 to a decimal. 2) Which is greater: 0.6 or 3/5? 3) Convert 9/10 to a decimal. 4) If you have 0.25 of a pizza, what fraction of the pizza do you have? Show your working clearly for each problem and be prepared to discuss your solutions.

• 0.2
• 0.5
• 0.75
• 1.0

Answer: 0.5

1 divided by 2 equals 0.5.

• 1/2
• 1/4
• 2/5
• 3/8

Answer: 1/4

0.25 is the decimal representation of 1 divided by 4.

Answer: 0.6

3 divided by 5 equals 0.6.

• 0.4
• 2/5
• 0.35
• 0.45

Answer: 0.4

0.4 is equivalent to 2/5, which is greater than 0.35 and 0.45.

Answer: 3/4

0.75 is equivalent to 3 divided by 4.

• 0.7
• 0.75
• 0.8
• 0.6

Answer: 0.7

7 divided by 10 equals 0.7.

Answer: 0.125

1 divided by 8 equals 0.125.

• 1/2
• 2/4
• 3/6
• 5/10

Answer: 3/6

3/6 simplifies to 1/2, which is equivalent to 0.5.