Sure! Let’s solve each of the
Fraction Word Problems step by step and explain the reasoning.
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Problem 1:
> Wendy built 1/3 of a snowman and Bill built 1/3 of a snowman. How much of a snowman did they build together?
Solution:
We are adding two fractions with the same denominator:
> 1/3 + 1/3 = (1 + 1)/3 =
2/3
✔ Answer: They built 2/3 of a snowman together.
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Problem 2:
> Frank and his brother Fred share a pie. Frank ate 1/8 of the pie and Fred ate 5/8 of the pie. How much of the pie did the two boys eat in all?
Solution:
Again, same denominator — just add the numerators:
> 1/8 + 5/8 = (1 + 5)/8 =
6/8
We can simplify 6/8 by dividing numerator and denominator by 2:
> 6 ÷ 2 = 3
> 8 ÷ 2 = 4
> So, 6/8 =
3/4
✔ Answer: The two boys ate 3/4 of the pie in all.
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Problem 3:
> If Paul colored 3/7 of a snowflake picture during the morning then colored 2/7 of the same snowflake in the afternoon, how much did he color in all?
Solution:
Same denominator again:
> 3/7 + 2/7 = (3 + 2)/7 =
5/7
✔ Answer: Paul colored 5/7 of the snowflake in all.
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Problem 4:
> Pauline is knitting a sweater. She knitted 3/10 of the sweater on Monday and 3/10 again on Tuesday. How much of the sweater has she knitted so far?
Solution:
Add the two fractions:
> 3/10 + 3/10 = (3 + 3)/10 =
6/10
Simplify 6/10 by dividing numerator and denominator by 2:
> 6 ÷ 2 = 3
> 10 ÷ 2 = 5
> So, 6/10 =
3/5
✔ Answer: Pauline has knitted 3/5 of the sweater so far.
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Problem 5:
> Sam is measuring the ice on two lakes. One lake is 5/12 inches thick and another lake is 5/12 inches thick. What is the sum of these two measurements?
Solution:
Add the two identical fractions:
> 5/12 + 5/12 = (5 + 5)/12 =
10/12
Simplify 10/12 by dividing numerator and denominator by 2:
> 10 ÷ 2 = 5
> 12 ÷ 2 = 6
> So, 10/12 =
5/6
✔ Answer: The sum of the two measurements is 5/6 inches.
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✔ Final Answers Summary:
1.
2/3 of a snowman
2.
3/4 of the pie
3.
5/7 of the snowflake
4.
3/5 of the sweater
5.
5/6 inches
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Key Concept: All problems involve
adding fractions with like denominators. Just add the numerators and keep the denominator the same. Then,
simplify if possible!
Let me know if you’d like to visualize any of these with diagrams or number lines! 🎨🧩
Parent Tip: Review the logic above to help your child master the concept of math word problems worksheet 3rd grade.
