Mathematics - Term 4 - Week 9

Fractions represent a part of a whole and are written as 'a/b', where 'a' is the numerator and 'b' is the denominator. Decimals are another way to express fractions, particularly those with denominators that are powers of ten. For example, the fraction 1/2 can be expressed as 0.5 in decimal form. Understanding how to convert between these two forms 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). Performing the division gives us 0.75. Therefore, 3/4 is equivalent to 0.75 in decimal form. Another example is converting 1/5 to a decimal. Dividing 1 by 5 results in 0.2, so 1/5 equals 0.2.

Now, let's practice converting some fractions to decimals together. Convert the following fractions: 2/5, 7/10, and 5/8. For 2/5, divide 2 by 5 to get 0.4. For 7/10, divide 7 by 10 to get 0.7. Lastly, for 5/8, divide 5 by 8, which gives us 0.625. Discuss any challenges you faced during these conversions.

Complete the following exercises on your own: 1) Convert 4/9 to a decimal. 2) Convert 0.75 to a fraction. 3) Solve the problem: If you have 3.5 meters of rope and you cut it into pieces of 0.25 meters each, how many pieces do you have? Show all your workings clearly.

• 0.25
• 0.5
• 0.75
• 1.0

Answer: 0.25

1 divided by 4 equals 0.25.

• 1/5
• 1/4
• 1/2
• 2/5

Answer: 1/5

0.2 is the decimal representation of the fraction 1/5.

• 0.3
• 0.03
• 0.33
• 0.333

Answer: 0.3

3 divided by 10 equals 0.3.

Answer: 5/8

0.625 can be expressed as 625/1000, which simplifies to 5/8.

Answer: 5

2.5 divided by 0.5 equals 5.

• 0.875
• 0.78
• 0.8
• 0.88

Answer: 0.875

7 divided by 8 equals 0.875.

• 2/5
• 3/5
• 4/5
• 1/4

Answer: 2/5

0.4 is equivalent to the fraction 2/5.

Answer: 5/4

1.25 can be expressed as 125/100, which simplifies to 5/4.