1. GAP.4.M.NF.02 I can compare and justify fractions with unlike denominators.

2. Essential Questions What is a denominator? What is a numerator?
What are fractions with unlike denominators?
How do I compare fractions with unlike denominators?
Essential Questions

3. When the denominator is the same, the larger the numerator,
the larger the fraction: 40/100 > 28/100

4. When the denominators are different, the larger the denominator,
the smaller the fraction: 1/100 < 1/10

5. 6/9
>
4/9
>
2/9
6/12 =
4/8 =
2/4
1/2
1/2
1/2

6. 2/9
6/9
4/8
Which is true?
a. 2/9 > 6/9 > 4/8
b. 2/9 < 6/9 < 4/8
c. 2/9 < 6/9 > 4/8
d. 2/9 > 6/9 < 4/8
Can you think of a different way to compare these decimals to show their relationship?

7. Which is true? 2/3 < 1/2 or 2/3 > 1/2
You can also use a number line to help you see the relationship of fractions with different denominators:
0/3
3/3
1/3
2/3
1/2
2/2
Which is true? 2/3 < 1/2 or 2/3 > 1/2
1. Look at the fraction 2/3. Numerator is __. Denominator is __.
2. Ask yourself whether the numerator, 2, is closer to 0 , or is it closer to the denominator, which is 3?
It’s closer to 3, or 3/3, so it is more than 1/2

8. You can also use a number line to help you see the relationship of fractions with different denominators:
2/3
1/3
0/3
3/3
1/2
2/2
3. On the number line, is 2/3 closer to 0 (0/3) or is it closer to
1 (3/3)?
It’s closer to 1.
So... Which is true? 2/3 < 1/2 or 2/3 > 1/2
Which is true: 6/7 < 1/2 or 6/7 > 1/2
6 is closer to 7/7 than 0/7
Which is true? 6/8 < 1/2 < 3/8 or 3/8 < 1/2 < 6/8
Why?

9. Find a fraction greater than 5/6
Find a fraction greater than 5/6. Draw a number line and justify your answer.
Find a fraction less than 1/4. Draw a number line and justify your answer.