Tape Diagrams
Write a number sentence that shows 9/6 as three equal parts.
9/6 = 3/6 + 3/6 + 3/6
Complete: 1/6 = (1 × ___) / (6 × ___) = ___ / 12.
1/6 = (1 × 2) / (6 × 2) = 2/12
Fill in >, <, or = :
5/12 ___ 3/4.
5/12 < 3/4 (because 3/4 = 9/12, and 5 < 9)
Add and simplify:
5/6 + 3/6 + 1/6.
5/6 + 3/6 + 1/6 = 9/6 = 1 3/6 = 1 1/2
Jen is 5/10 meters taller than her sister who is 9/10 meters tall; how tall is Jen? (Write the number sentence and answer.)
Jen = 9/10 + 5/10 = 14/10 = 1 4/10 = 1 2/5 meters
Which two number sentences correctly describe a whole split into five equal parts: choose both answers.
Complete: 1/3 = (1 × ____) / (3 × ____) = ____ / 12.
1/3 = (1 × 4) / (3 × 4) = 4/12
Which is larger: 4/5 or 3/10?
Answer with the larger fraction.
4/5 is larger
(4/5 = 8/10 > 3/10)
Subtract 9/8 − 4/8.
9/8 − 4/8 = 5/8
A 3×4 rectangle has the left column (4 squares) shaded; what fraction is shaded in simplest form?
Shaded = 4/12 = 1/3
If 9 small units make 9/6 and you split them into three equal groups of 3 units, what fraction is in each group?
Each group = 3/6
From this list — 2/6, 3/6, 4/6, 5/6, 6/6, 7/6, 9/6 — which one equals exactly 1?
6/6 equals 1
Put these in order from least to greatest:
3/10, 1/3, 4/12.
Least to greatest:
3/10, 1/3, 4/12 (note: 1/3 = 4/12 so last two are equal)
Add: 2/6 + 3/6 + 4/6 and give the answer as an improper fraction and a mixed number.
2/6 + 3/6 + 4/6 = 9/6 = 1 3/6 = 1 1/2
A shaded total is 9/6 and a student splits it into three equal parts; what fraction is each part?
Each part = 9/6 ÷ 3 = 3/6 = 1/2
Show 1 2/5 as an addition of fractions (write a single number sentence).
1 2/5 = 1 + 2/5 = 5/5 + 2/5 = 7/5
Write two different equations that both equal 5/6 (use sums of sixths).
Which is bigger:
8/12 or 4/8?
Answer and give one short reason (one line).
8/12 (2/3) is bigger than 4/8 (1/2) because 2/3 > 1/2
5/12 + 3/12 − 1/12 and give the simplified result.
5/12 + 3/12 − 1/12 = 7/12
Write one short word problem whose answer is 8/12, and then show how to simplify 8/12 to simplest form.
Sample problem:
"Taylor ate 8 of 12 equal pieces of pizza; what fraction is eaten and simplify?" 8/12 = 2/3
Four of twelve equal parts are shaded; write one addition sentence and one multiplication sentence that both represent the shaded amount, then simplify the fraction.
4/12 = 1/12 + 1/12 + 1/12 + 1/12
Multiplication: 4/12 = 4 × 1/12
Simplified: 4/12 = 1/3
Using a 3×4 grid with the left column (4 of 12 squares) shaded, what is the simplified fraction for the shaded part?
4/12 simplified = 1/3
Who is correct:
Student 1: 2/3 = 8/12 or
Student 2: 2/3 = 3/4?
Write the correct equivalent fraction to 2/3.
2/3 = 8/12 (Student 1 is correct)
A student added 5/6 + 3/6 + 1/6 and wrote 8/6 — show the correct final answer and explain briefly what they missed.
Correct: 9/6 = 1 3/6 = 1 1/2; the student stopped after getting 8/6 and forgot to add the final 1/6 (8/6 + 1/6 = 9/6).
A ribbon is 1 meter long. Sam cuts off 3/5 meter. Then he uses 1/5 of what remains. How much ribbon is left? Show step-by-step work.
Step 1: After cutting off 3/5, remainder = 1 − 3/5 = 2/5.
Step 2: He uses 1/5 of remainder: (1/5) × (2/5) = 2/25 used.
Step 3: Remaining ribbon = 2/5 − 2/25 = 10/25 − 2/25 = 8/25. Final answer: 8/25 meter.