Download Unit 5-12 Compare Expressions

5–12
Name
Date
Compare Expressions
Use what you have learned about addition, subtraction, multiplication, and division of
fractions and comparing fractions and mixed numbers to compare the expressions.
Write >, <, or ⴝ.
3
1. ᎏᎏ
4
⫼ ᎏ1ᎏ
2
6
ᎏᎏ
8
⫹ ᎏ7ᎏ
8
⫻ ᎏ5ᎏ
ᎏ8ᎏ
10
⫺ ᎏ2ᎏ
3
4. ᎏᎏ
8
⫹ ᎏ1ᎏ
4
2
ᎏᎏ
3
⫼ ᎏ5ᎏ
6
⫼ ᎏ3ᎏ
3
ᎏᎏ
5
⫼ ᎏ7ᎏ
8
7
3. ᎏᎏ
10
⫼ ᎏ1ᎏ
1
5. ᎏᎏ
9
⫼ ᎏ2ᎏ
3
1
ᎏᎏ
3
⫻ ᎏ1ᎏ
7
6. ᎏᎏ
8
1
7. ᎏᎏ
2
of ᎏ4ᎏ
9
2
ᎏᎏ
5
⫼ ᎏ2ᎏ
3
8. ᎏᎏ
10
5
9. ᎏᎏ
8
⫼ ᎏ5ᎏ
4
ᎏᎏ
5
⫼ ᎏ1ᎏ
6
7
11. ᎏᎏ
10
5
13. ᎏᎏ
8
2
⫻ ᎏ5ᎏ
8
⫼ ᎏ4ᎏ
5
3
ᎏᎏ
5
4
2. ᎏᎏ
5
2
3
3
ᎏᎏ
8
2
ᎏᎏ
3
of 2
5
⫹ ᎏ1ᎏ
2
5
8
3
ᎏᎏ
8
⫼ ᎏ1ᎏ
4
6
3
10. ᎏᎏ
4
⫻ ᎏ3ᎏ
5
1
ᎏᎏ
3
⫼ ᎏ9ᎏ
⫻ ᎏ7ᎏ
2
12. ᎏᎏ
5
⫼ ᎏ8ᎏ
9
1
ᎏᎏ
4
⫼ ᎏ7ᎏ
2
14. ᎏᎏ
3
⫹ ᎏ5ᎏ
3
ᎏᎏ
4
⫼ ᎏ1ᎏ
12
⫻ ᎏ1ᎏ
4
9
10
8
3
15.
List the expressions with sums, differences, products, or quotients greater than 1.
16.
Analyze It Look at the division expressions you wrote in exercise 15. What
generalization can you make about the size of a quotient in relation to the sizes of
fractional dividends and divisors? Do you think the opposite is true? Explain.
5–12
Name
Date
Compare Expressions
Use what you have learned about addition, subtraction, multiplication, and division of
fractions and comparing fractions and mixed numbers to compare the expressions.
Write >, <, or ⴝ.
3
1. ᎏᎏ
4
⫼ ᎏ1ᎏ
2
<
6
ᎏᎏ
8
⫹ ᎏ7ᎏ
8
⫻ ᎏ5ᎏ
8
>
ᎏ8ᎏ
10
⫺ ᎏ2ᎏ
3
4. ᎏᎏ
8
⫹ ᎏ1ᎏ
4
<
2
ᎏᎏ
3
⫼ ᎏ5ᎏ
6
⫼ ᎏ3ᎏ
>
3
ᎏᎏ
5
⫼ ᎏ7ᎏ
7
3. ᎏᎏ
10
⫼ ᎏ1ᎏ
1
5. ᎏᎏ
9
⫼ ᎏ2ᎏ
3
ⴝ
1
ᎏᎏ
3
⫻ ᎏ1ᎏ
7
6. ᎏᎏ
8
1
7. ᎏᎏ
2
of ᎏ4ᎏ
9
<
2
ᎏᎏ
5
⫼ ᎏ2ᎏ
3
8. ᎏᎏ
10
5
9. ᎏᎏ
8
⫼ ᎏ5ᎏ
<
4
ᎏᎏ
5
⫼ ᎏ1ᎏ
6
7
11. ᎏᎏ
10
5
13. ᎏᎏ
8
2
⫻ ᎏ5ᎏ
8
⫼ ᎏ4ᎏ
5
>
>
>
3
ᎏᎏ
5
4
2. ᎏᎏ
5
2
3
3
ᎏᎏ
8
2
ᎏᎏ
3
of 2
5
⫹ ᎏ1ᎏ
2
<
5
8
3
ᎏᎏ
8
⫼ ᎏ1ᎏ
4
6
3
10. ᎏᎏ
4
⫻ ᎏ3ᎏ
5
>
1
ᎏᎏ
3
⫼ ᎏ9ᎏ
⫻ ᎏ7ᎏ
2
12. ᎏᎏ
5
⫼ ᎏ8ᎏ
9
<
1
ᎏᎏ
4
⫼ ᎏ7ᎏ
2
14. ᎏᎏ
3
⫹ ᎏ5ᎏ
<
3
ᎏᎏ
4
⫼ ᎏ1ᎏ
12
⫻ ᎏ1ᎏ
4
9
10
8
3
15.
List the expressions with sums, differences, products, or quotients greater than 1.
ᎏ3ᎏ ⴜ ᎏ1ᎏ, ᎏ6ᎏ ⴙ ᎏ7ᎏ, ᎏ7ᎏ ⴜ ᎏ1ᎏ, ᎏ3ᎏ of 2, ᎏ7ᎏ ⴜ ᎏ3ᎏ, ᎏ3ᎏ ⴜ ᎏ1ᎏ, ᎏ4ᎏ ⴜ ᎏ1ᎏ,
4
2 8
8 10
2 5
8
5 8
4 5
6
ᎏ2ᎏ ⴙ ᎏ5ᎏ, ᎏ3ᎏ ⴜ ᎏ1ᎏ
3
9 4
3
16.
Analyze It Look at the division expressions you wrote in exercise 15. What
generalization can you make about the size of a quotient in relation to the sizes of
fractional dividends and divisors? Do you think the opposite is true? Explain.
Sample response: When the dividend is greater than
the divisor, the quotient is greater than 1. I think the
opposite is true. When the dividend is less than the
divisor, the quotient is less than 1.