Grade 3 Maths Worksheets: (7.9 Fraction Word Problems) - Lets ... - Free Printable

Let's solve each of the fraction word problems step by step.

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Problem 1:

Question: Last night there was a pizza party at home. 16 pizza slices were left. I ate $\frac{4}{16}$ and Tom ate $\frac{5}{16}$ slices. What fraction of slices we ate altogether?

Solution:
1. You ate $\frac{4}{16}$ of the pizza.
2. Tom ate $\frac{5}{16}$ of the pizza.
3. To find the total fraction of pizza eaten, add the fractions:
\[
\frac{4}{16} + \frac{5}{16} = \frac{4 + 5}{16} = \frac{9}{16}
\]

Answer: $\boxed{\frac{9}{16}}$

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Problem 2:

Question: I have 20 books. Some are English and some are French. If 15 books are French, what fraction of books are English?

Solution:
1. Total number of books = 20.
2. Number of French books = 15.
3. Number of English books = Total books - French books:
\[
20 - 15 = 5
\]
4. Fraction of books that are English:
\[
\frac{\text{Number of English books}}{\text{Total number of books}} = \frac{5}{20}
\]
5. Simplify the fraction:
\[
\frac{5}{20} = \frac{1}{4}
\]

Answer: $\boxed{\frac{1}{4}}$

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Problem 3:

Question: There are 35 students in my class. 15 are girls and 20 are boys. What fraction of students are girls?

Solution:
1. Total number of students = 35.
2. Number of girls = 15.
3. Fraction of students who are girls:
\[
\frac{\text{Number of girls}}{\text{Total number of students}} = \frac{15}{35}
\]
4. Simplify the fraction:
\[
\frac{15}{35} = \frac{3}{7}
\]

Answer: $\boxed{\frac{3}{7}}$

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Problem 4:

Question: John has homework to do in 3 days. He completed $\frac{4}{15}$ yesterday and did $\frac{7}{15}$ of the work today. How much work has he completed?

Solution:
1. Work completed yesterday = $\frac{4}{15}$.
2. Work completed today = $\frac{7}{15}$.
3. Total work completed so far:
\[
\frac{4}{15} + \frac{7}{15} = \frac{4 + 7}{15} = \frac{11}{15}
\]

Answer: $\boxed{\frac{11}{15}}$

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Problem 5:

Question: There are 42 children in a village. $\frac{13}{42}$ children have fever and $\frac{21}{42}$ children have bad throat. What fraction of children are ill altogether?

Solution:
1. Total number of children = 42.
2. Fraction of children with fever = $\frac{13}{42}$.
3. Fraction of children with bad throat = $\frac{21}{42}$.
4. Total fraction of children who are ill:
\[
\frac{13}{42} + \frac{21}{42} = \frac{13 + 21}{42} = \frac{34}{42}
\]
5. Simplify the fraction:
\[
\frac{34}{42} = \frac{17}{21}
\]

Answer: $\boxed{\frac{17}{21}}$

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Problem 6:

Question: 20 children are standing outside a room. $\frac{17}{20}$ children entered the room. Now $\frac{4}{17}$ children who entered earlier went outside. What fraction is still inside?

Solution:
1. Total children outside initially = 20.
2. Fraction of children who entered the room = $\frac{17}{20}$.
3. Number of children who entered the room:
\[
\frac{17}{20} \times 20 = 17
\]
4. Fraction of children who went back outside = $\frac{4}{17}$.
5. Number of children who went back outside:
\[
\frac{4}{17} \times 17 = 4
\]
6. Number of children still inside:
\[
17 - 4 = 13
\]
7. Fraction of children still inside:
\[
\frac{\text{Children still inside}}{\text{Total children who entered}} = \frac{13}{17}
\]

Answer: $\boxed{\frac{13}{17}}$

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Final Answers:

1. $\boxed{\frac{9}{16}}$
2. $\boxed{\frac{1}{4}}$
3. $\boxed{\frac{3}{7}}$
4. $\boxed{\frac{11}{15}}$
5. $\boxed{\frac{17}{21}}$
6. $\boxed{\frac{13}{17}}$