Let’s solve each problem one by one, step by step.
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Problem 1:
Stella walks 2/10 mile, then rests, then walks 4/10 mile.
To find total distance, add the two fractions:
2/10 + 4/10 = (2 + 4)/10 = 6/10
We can simplify 6/10 by dividing numerator and denominator by 2:
6 ÷ 2 = 3
10 ÷ 2 = 5
→ So, 6/10 = 3/5
✔ Total walked:
3/5 mile
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Problem 2:
Amelia walks 8/10 mile.
Ava walks 7/10 mile.
Who walks more? Compare 8/10 and 7/10 → 8/10 is bigger.
How much more? Subtract:
8/10 - 7/10 = 1/10
✔ Amelia walks more by
1/10 mile
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Problem 3:
Playground space used:
- Football: 1/5
- Track & field: 3/5
Total used: 1/5 + 3/5 = 4/5
Space left = Whole playground (which is 5/5) minus used space:
5/5 - 4/5 = 1/5
✔ Space left:
1/5
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Problem 4:
Empty box weighs 3 1/3 kg
Fruit added: 14 1/3 kg
Add them together:
First, add whole numbers: 3 + 14 = 17
Then add fractions: 1/3 + 1/3 = 2/3
So total weight = 17 + 2/3 =
17 2/3 kg
✔ Weight when full:
17 2/3 kg
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Problem 5:
Table widths:
- Black: 1/3 meter
- Brown: 2/5 meter
- White: 4/5 meter
We need to compare these fractions to see which is largest.
Let’s convert them to decimals or find a common denominator.
Common denominator for 3 and 5 is 15.
Convert each:
Black: 1/3 = 5/15
Brown: 2/5 = 6/15
White: 4/5 = 12/15
Now compare: 5/15 < 6/15 < 12/15
So white table has the longest width.
✔ Longest width:
White table
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Final Answer:
1. 3/5 mile
2. Amelia walks more by 1/10 mile
3. 1/5 of the space is left
4. 17 2/3 kg
5. White table
Parent Tip: Review the logic above to help your child master the concept of 6th grade problem solving worksheet.
