Week 08 · Same size, different names
Wednesday
Compare fractions
// Equivalent fractions and comparing
⏱ about 15 min
Wednesday: Compare fractions
Donnie and Bennie each have a pear of the same size.
Donnie cuts his pear into 3 equal slices.
Bennie cuts his pear into 8 equal slices.
"Would you rather have 1/3 of a pear or 1/8?" asks Donnie.
Bennie looks closely at the slices.
"More slices means each slice is smaller," says Bennie.
"So 1/3 is greater than 1/8."
Learn it: same numerator
Both fractions have 1 part. The parts are different sizes.
Thirds are bigger than eighths. So 1/3 > 1/8.
With the same numerator, fewer parts in the whole means bigger parts.
Learn it: same denominator
Both strips are cut into sixths, so the parts are the same size.
5 sixths is more than 2 sixths. So 5/6 > 2/6.
Compare only parts of the same size whole.
SAME DENOMINATOR
- Read the question.
- Tap your answer.
5/6 ? 2/6
3/8 ? 7/8
2/4 ? 2/4
1/3 ? 2/3
SAME NUMERATOR
- Read the question.
- Tap your answer.
1/3 ? 1/81/6 ? 1/2
3/4 ? 3/8
2/6 ? 2/3
WHICH IS GREATER?
- Read the question.
- Tap your answer.
Which is greater, 1/4 or 1/6?
Which is greater, 5/8 or 3/8?
Which is greater, 2/3 or 2/8?
Hazel has 1/2 of a big pear. Lucy has 1/2 of a small pear. Who has more?ORDER FROM LEAST TO GREATEST
- All of these have 1 part.
- Think about the size of each part.
11st
22nd
33rd
44th
Same denominator: count the parts. Same numerator: compare the part size.
| Sentence | True or false? |
|---|---|
| 1/3 > 1/8 | ? |
| 5/6 < 2/6 | ? |
| 3/4 > 3/8 | ? |
| 1/2 = 2/4 | ? |
WHY THIS EXERCISE5/6 is more than 2/6, so 5/6 > 2/6.
Try it
Fold two paper strips of the same length.
Fold one into halves and one into fourths.
Color 1/2 of the first and 1/4 of the second.
Which colored part is longer?
Fold one into halves and one into fourths.
Color 1/2 of the first and 1/4 of the second.
Which colored part is longer?
Draw two same-size circles. Shade 1/2 of one and 1/4 of the other.
Thoughtful comparing! Tomorrow Chris tells a story about Donnie.