Cogito
Grade 4 Math · Chapter 5 · Lesson 3
Comparing Unlike Fractions
Make the pieces the same, then count.
10 problems · about 16 minutes · 4.NF.A.2
Figure — use these to answer the problems
3/5 is less than 2/3.
Warm-Up Review
From earlier lessons. Loosen up before the new work.
2 problemsFrom “Equivalent Fractions”
2/3 = ?/9. What is the top number?
AnswerFrom “A Fraction Counts Units”
How many sixths are in 5/6?
Answer
Warm Up
Straightforward practice. Get the method working first.
4 problems2/3 written in twelfths has what top number?
AnswerWhy can you not compare 2/5 and 1/2 by counting?
- The pieces are different sizes.
- The numbers are too big.
Is 3/4 bigger than 2/3?
- Yes. 9/12 beats 8/12.
- No.
3/5 written in tenths has what top number?
Answer
Build It Up
The same ideas with more to keep track of.
2 problemsIs 4/9 more or less than a half?
- Less.
- More.
Is 5/6 bigger than 7/12?
- Yes. 10/12 beats 7/12.
- No.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Two Jugs
One jug is 5/8 full, another 1/2. Which has more?
- 5/8.
- 1/2.
The Reading
Ana read 2/5 of her book, Leo 3/8 of his. Who read more, if the books are the same?
- Ana.
- Leo.