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 0.5. To convert a fraction to a decimal, divide the numerator by the denominator. Conversely, to convert a decimal to a fraction, write the decimal as a fraction with a denominator based on its place value, and simplify if necessary.

Let's convert the fraction 3/4 to a decimal. To do this, divide 3 by 4. When you perform the division, you get 0.75. Therefore, 3/4 is equivalent to 0.75. Another example is converting 1/5 to a decimal. Dividing 1 by 5 gives us 0.2, so 1/5 equals 0.2.

Now, let's practice converting some fractions to decimals together. Convert the following fractions: 2/5, 1/8, and 5/6. For 2/5, divide 2 by 5 to get 0.4. For 1/8, dividing 1 by 8 gives us 0.125. Lastly, 5/6 divided gives approximately 0.833. Discuss the results with your partner and check for understanding.

Now it's your turn to work independently. Convert the following fractions to decimals: 3/10, 7/20, and 4/5. Then, convert the decimals 0.25, 0.6, and 0.125 back to fractions. Show your working clearly, and be prepared to discuss any mistakes you might encounter.

• 0.2
• 0.5
• 0.75
• 1.0

Answer: 0.5

1 divided by 2 equals 0.5.

• 3/4
• 1/2
• 2/3
• 5/6

Answer: 3/4

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

Answer: 0.625

5 divided by 8 equals 0.625.

• 0.25
• 0.5
• 0.75
• 1.0

Answer: 0.25

1 divided by 4 equals 0.25.

Answer: 2/5

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

• 0.3
• 0.5
• 0.6
• 0.75

Answer: 0.6

3 divided by 5 equals 0.6.

Answer: 1/8

0.125 is equivalent to 125/1000, which simplifies to 1/8.

• 0.33
• 0.66
• 0.67
• 0.75

Answer: 0.67

2 divided by 3 is approximately 0.67.