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 be expressed 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 how fractions and decimals relate to each other.

Let's convert the fraction 3/4 into 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 1/5 to a decimal. Dividing 1 by 5 results in 0.2. This shows how fractions can be represented in decimal form.

Now, let's practice converting some fractions to decimals as a class. Convert the following fractions: 2/5, 3/8, and 5/6. Work in pairs to divide the numerators by the denominators and write down the decimal equivalents. After a few minutes, we will discuss the answers together and visualize them on a number line.

Individually, complete the following problems: 1) Convert 4/10 to a decimal. 2) What is 0.25 as a fraction? 3) If you have 3/5 of a pizza and you eat 0.6 of it, how much pizza is left? Show all your workings clearly. Once finished, check your answers with a partner.

• 0.2
• 0.5
• 0.75
• 1.0

Answer: 0.5

1 divided by 2 equals 0.5.

• 3/4
• 1/2
• 2/5
• 5/6

Answer: 3/4

0.75 is the decimal equivalent of the fraction 3/4.

Answer: 0.6667

2 divided by 3 equals approximately 0.6667.

• 0.1
• 0.5
• 1.0
• 0.05

Answer: 0.5

5 divided by 10 equals 0.5.

Answer: 2/5

0.4 can be expressed as 4/10, which simplifies to 2/5.

• 1/4
• 1/2
• 1/8
• 3/8

Answer: 1/4

3/4 minus 0.5 (which is 2/4) equals 1/4.

Answer: 0.875

7 divided by 8 equals 0.875.

• 0.2
• 0.25
• 0.3
• 0.4

Answer: 0.2

1 divided by 5 equals 0.2.