2.2 Comparing fractions  (Page 2/3)

1. Now see if you can work out the equivalent fractions here (Use the bars in the diagram if necessary):

• Half a sausage roll is equivalent to …………. quarters of an identical sausage roll.

Equivalence occurs when the whole may have been cut into a different number of parts, but there are enough of them to make the same quantity as there is in the other fraction. We write it in words or with digits, thus $\frac{1}{2}$ = $\frac{2}{4}$ and we use the = sign.

1.2 Half a sausage roll is equivalent to sixths of an identical sausage roll.

• Half a sausage roll is equivalent to eighths of an identical

sausage roll. Now make up one of your own:

• Half a sausage roll is equivalent to of an identical sausage roll.

2. Halves.

• The top bar shows halves. Shade in one half.
• Now see if you can find fractions in the other bars equivalent to a half. Write them all down below. Try to spot some pattern in your answers. Discuss this with a friend.

3. Thirds.

• The top bar shows thirds. Shade in one third.
• Now see if you can find fractions in the other bars equivalent to one third. Write them all down below.

Try to spot some pattern in your answers. Discuss this with a friend.

3.3 Find all the fractions that are equivalent to two-thirds. Write them down below:

4. Fifths.

• The top bar shows fifths. Shade in one fifth.
• Now see if you can find fractions in the other bars equivalent to one fifth. Write them all down

Try to spot some pattern in your answers. Discuss this with a friend.

4.3 Now see if you can find fractions in the other bars equivalent to two fifths. Write them all down.

Try to spot some pattern in your answers. Discuss this with a friend.

4.4 Now see if you can find fractions in the other bars equivalent to three fifths. Write them all down.

Try to spot some pattern in your answers. Discuss this with a friend.

4.5 Now see if you can find fractions in the other bars equivalent to four fifths. Write them all down.

Try to spot some pattern in your answers. Discuss this with a friend.

5. Patterns.

5.1 Spot the pattern and fill in the missing parts:

• Try to write down the patterns that you saw.
• Spot the pattern and fill in the missing parts:

5.4 Try to spot patterns for making equivalent fractions for other fractions. Discuss them in class.

Activity 4:

To use equivalent fractions [LO 1.5, 1.7]

1. Joan spent three-quarters of her holiday at home and her brother, Willie, spent five-eighths of the same holiday at home. Which of them spent more time at home that holiday?

2. David’s rabbits ate $\frac{3}{5}$ of a bunch of carrots. Roy’s rabbits ate $\frac{7}{\text{10}}$ of an identical bunch of carrots. Which boy had more carrots left over?

3. Len’s mother made three identical tins of shortbread. She cut the first one into three pieces; the second one into six pieces and the third one into twelve pieces. Len ate one piece from the first tin. His brother, Bruce, ate three pieces from the second tin and their father ate four pieces from the third tin.

3.1 Who ate the most shortbread?