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

Let's solve each fraction word problem step by step.

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Problem 1:

There are 50 people in a hall for a party. 21 of them are women. What fraction of the people in the hall are women?

#### Solution:
1. The total number of people in the hall is 50.
2. The number of women is 21.
3. To find the fraction of women, we divide the number of women by the total number of people:
\[
\text{Fraction of women} = \frac{\text{Number of women}}{\text{Total number of people}} = \frac{21}{50}
\]

#### Answer:
\[
\boxed{\frac{21}{50}}
\]

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Problem 2:

A pizza is divided into 8 equal pieces. Sara ate 3 slices. What fraction of the pizza slices is left behind?

#### Solution:
1. The total number of pizza slices is 8.
2. Sara ate 3 slices, so the number of slices left is:
\[
8 - 3 = 5
\]
3. To find the fraction of the pizza that is left, we divide the number of slices left by the total number of slices:
\[
\text{Fraction of pizza left} = \frac{\text{Slices left}}{\text{Total slices}} = \frac{5}{8}
\]

#### Answer:
\[
\boxed{\frac{5}{8}}
\]

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Problem 3:

Jimmy had to paint a door. He painted \(\frac{1}{4}\) of the door yesterday and \(\frac{3}{4}\) of the door today. How much paint has he done altogether?

#### Solution:
1. Jimmy painted \(\frac{1}{4}\) of the door yesterday.
2. Jimmy painted \(\frac{3}{4}\) of the door today.
3. To find the total fraction of the door painted, we add the two fractions:
\[
\text{Total painted} = \frac{1}{4} + \frac{3}{4}
\]
4. Since the denominators are the same, we can simply add the numerators:
\[
\frac{1}{4} + \frac{3}{4} = \frac{1 + 3}{4} = \frac{4}{4} = 1
\]

#### Answer:
\[
\boxed{1}
\]

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Problem 4:

Mum loves baking but she has only \(\frac{3}{4}\) cup of flour left with her. She used \(\frac{1}{4}\) cup to make cookies. How much flour is left with her?

#### Solution:
1. Mum initially had \(\frac{3}{4}\) cup of flour.
2. She used \(\frac{1}{4}\) cup of flour to make cookies.
3. To find the amount of flour left, we subtract the amount used from the initial amount:
\[
\text{Flour left} = \frac{3}{4} - \frac{1}{4}
\]
4. Since the denominators are the same, we can simply subtract the numerators:
\[
\frac{3}{4} - \frac{1}{4} = \frac{3 - 1}{4} = \frac{2}{4}
\]
5. Simplify the fraction \(\frac{2}{4}\):
\[
\frac{2}{4} = \frac{1}{2}
\]

#### Answer:
\[
\boxed{\frac{1}{2}}
\]

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Final Answers:

1. \(\boxed{\frac{21}{50}}\)
2. \(\boxed{\frac{5}{8}}\)
3. \(\boxed{1}\)
4. \(\boxed{\frac{1}{2}}\)