Let’s solve each problem one by one, step by step.
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Problem 1:
Lucy runs
5/6 of a kilometer every day for 7 days (first week).
We need to find:
→ How many kilometers she ran in total?
That means:
Multiply daily distance × number of days
= (5/6) × 7
Write 7 as a fraction: 7/1
So: (5/6) × (7/1) = (5×7)/(6×1) = 35/6
Now convert to mixed number:
35 ÷ 6 = 5 with remainder 5 → so
5 and 5/6
✔ Final Answer for #1:
5 5/6 kilometers
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Problem 2:
Micah swims
1/10 km in 4 minutes.
How long to swim
2 km?
First, find how many “1/10 km” parts are in 2 km:
2 ÷ (1/10) = 2 × 10 = 20 parts
Each part takes 4 minutes → 20 × 4 =
80 minutes
✔ Final Answer for #2:
80 minutes
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Problem 3:
Total players = 27
Left-handed = 1/9 of 27 → 27 × (1/9) = 3 left-handed players
Of those 3, 2/3 are over 6 feet tall → 3 × (2/3) = 2
✔ Final Answer for #3:
2 players
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Problem 4:
Danny ordered 16 pizzas.
Toppings: 7/8 of 16 → 16 × (7/8) = (16÷8)×7 = 2×7 =
14 pizzas with toppings
Plain = rest → 16 - 14 = 2 (we don’t need this)
Of the 14 with toppings, 1/2 have olives → so other half have only mushrooms.
Mushrooms only = 14 × (1/2) =
7
✔ Final Answer for #4:
7 pizzas
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Problem 5:
Leftover cake = 5/8 of whole cake
Mariah ate 1/3 of that leftover → so we multiply:
(5/8) × (1/3) = 5/24
✔ Final Answer for #5:
5/24 of the cake
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Problem 6:
Tina makes 36 cookies. Each cookie weighs 2/3 pound.
Total weight of all cookies = 36 × (2/3) = (36÷3)×2 = 12×2 =
24 pounds
She puts 4 cookies per box → number of boxes = 36 ÷ 4 =
9 boxes
Weight per box = total weight ÷ number of boxes = 24 ÷ 9 = 24/9
Simplify: divide numerator and denominator by 3 → 8/3 =
2 and 2/3 pounds
✔ Final Answer for #6:
2 2/3 pounds
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Final Answer:
1) 5 5/6 kilometers
2) 80 minutes
3) 2 players
4) 7 pizzas
5) 5/24 of the cake
6) 2 2/3 pounds
Parent Tip: Review the logic above to help your child master the concept of 5th grade math word problems worksheet pdf.
