Name: ____________________________________
Date: ______________
Period: ______
Cutting Things in Pieces
5
1
1. Situation: Tatiana has 8 of a yard of string. She wants to cut it into pieces 8 of a yard long. How
many pieces will she wind up with?
Reasoning: The operation I should use is ___________________________________ because…
Diagram:
Math Representation:
Proof by Inverse:
Solution: ____________________________________________
3
2. Situation: Matthew is re-stringing some fishing reels. He has 4 of a mile of fishing line. He wants
1
to put 4 mile of line onto each fishing reel. How many reels can he re-string?
Reasoning: The operation I should use is ___________________________________ because…
Diagram:
Math Representation:
Proof by Inverse:
Solution: ____________________________________________
9
3
3. Situation: Sandra has 12 of a yard of ribbon to make hair bows. She needs 12 of a yard for each
bow. How many bows can she make with the ribbon she has?
Reasoning: The operation I should use is ___________________________________ because…
Diagram:
Math Representation:
Proof by Inverse:
Solution: ____________________________________________
5
1
4. Situation: Kyle is making knot art. Each knot design takes 8 of a yard of rope. He has 3 8 yards of
rope. How many knot designs can he create with the rope he has?
Reasoning: The operation I should use is ___________________________________ because…
Diagram:
Math Representation:
Proof by Inverse:
Solution: ____________________________________________
Name: ____________________________________
Date: ______________
Period: ______
Noticing Patterns: Dividing Fractions with Common Denominators
1.
Diagram:
Math Representation:
𝟏𝟎 𝟐
÷
=
𝟏𝟏 𝟏𝟏
Proof by Inverse:
Solution: ____________________________________________
2.
Diagram:
Math Representation:
𝟗
𝟑
÷
=
𝟏𝟎 𝟏𝟎
Proof by Inverse:
Solution: ____________________________________________
3.
Diagram:
Math Representation:
𝟒 𝟐
÷ =
𝟓 𝟓
Proof by Inverse:
Solution: ____________________________________________
4.
Diagram:
Math Representation:
𝟏𝟒 𝟕
÷ =
𝟒 𝟒
Proof by Inverse:
Solution: ____________________________________________
5.
Diagram:
Math Representation:
𝟏𝟎 𝟓
÷ =
𝟑 𝟑
Proof by Inverse:
Solution: ____________________________________________
6.
Diagram:
Math Representation:
𝟖 𝟐
÷ =
𝟓 𝟓
Proof by Inverse:
Solution: ____________________________________________
Name: ____________________________________
Date: ______________
Period: ______
Noticing Patterns: Dividing Fractions with Common Denominators
In the table below, record each of the problems and answers from the previous 10 fraction division
problems:
Problem:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Answer:
Look at the table now – What do you notice? Are there any patterns? List what you see/explain: