The image shows a collection of fraction word problems designed for 3rd-grade students. These problems are part of a free Common Core worksheet set focused on winter-themed scenarios. Below, I will solve one problem from each section to demonstrate the solution process.
---
Section 1: Fraction Word Problems
#### Problem:
Question 1: There are 24 snowflakes in total. 1/3 of them are blue and 2/3 are green. How many snowflakes are blue?
#### Solution:
1.
Total number of snowflakes: 24
2.
Fraction of snowflakes that are blue: \( \frac{1}{3} \)
3.
Calculate the number of blue snowflakes:
\[
\text{Number of blue snowflakes} = \frac{1}{3} \times 24 = \frac{24}{3} = 8
\]
Answer: 8 snowflakes are blue.
---
Section 2: Fraction Word Problems
#### Problem:
Question 2: Grace and Peter have two pizzas that they cut into pieces. Grace cuts her pizza into 4 pieces and eats 3 pieces. Peter cuts his pizza into 6 pieces and eats 5 pieces. Who ate more pizza?
#### Solution:
1.
Grace's pizza:
- Total pieces: 4
- Pieces eaten: 3
- Fraction of pizza eaten: \( \frac{3}{4} \)
2.
Peter's pizza:
- Total pieces: 6
- Pieces eaten: 5
- Fraction of pizza eaten: \( \frac{5}{6} \)
3.
Compare the fractions \( \frac{3}{4} \) and \( \frac{5}{6} \):
- Find a common denominator (LCM of 4 and 6 is 12).
- Convert fractions:
\[
\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}
\]
\[
\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}
\]
- Compare \( \frac{9}{12} \) and \( \frac{10}{12} \):
\[
\frac{10}{12} > \frac{9}{12}
\]
Answer: Peter ate more pizza.
---
Section 3: Fraction Word Problems
#### Problem:
Question 1: A polar bear can walk 1/2 mile in an hour and then walked another 1/4 mile. How far did it walk in all?
#### Solution:
1.
Distance walked in the first part: \( \frac{1}{2} \) mile
2.
Distance walked in the second part: \( \frac{1}{4} \) mile
3.
Total distance walked:
\[
\text{Total distance} = \frac{1}{2} + \frac{1}{4}
\]
4.
Find a common denominator (LCM of 2 and 4 is 4):
\[
\frac{1}{2} = \frac{2}{4}
\]
\[
\frac{1}{4} = \frac{1}{4}
\]
5.
Add the fractions:
\[
\frac{2}{4} + \frac{1}{4} = \frac{3}{4}
\]
Answer: The polar bear walked \( \frac{3}{4} \) mile in total.
---
Section 4: Fraction Word Problems
#### Problem:
Question 3: John rode down a slope that was 1/2 mile long. One was 1/2 mile long and the other with 2/4 miles long. How much longer was the first slope than the second?
#### Solution:
1.
Length of the first slope: \( \frac{1}{2} \) mile
2.
Length of the second slope: \( \frac{2}{4} \) mile
3.
Simplify the second slope length:
\[
\frac{2}{4} = \frac{1}{2}
\]
4.
Compare the lengths:
\[
\text{Difference} = \frac{1}{2} - \frac{1}{2} = 0
\]
Answer: The first slope is not longer than the second; they are the same length.
---
Final Answers:
1.
Section 1: \( \boxed{8} \)
2.
Section 2: \( \boxed{\text{Peter}} \)
3.
Section 3: \( \boxed{\frac{3}{4}} \)
4.
Section 4: \( \boxed{0} \)
These solutions demonstrate how to approach fraction word problems step by step, using basic arithmetic operations and fraction comparisons.
Parent Tip: Review the logic above to help your child master the concept of comparing fractions word problems worksheet.
