Fraction Word Problems Grade 5 | Grade1to6.com - Free Printable
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Step-by-step solution for: Fraction Word Problems Grade 5 | Grade1to6.com
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Show Answer Key & Explanations
Step-by-step solution for: Fraction Word Problems Grade 5 | Grade1to6.com
Let's solve each problem step by step.
---
Mia has 8 vanilla flavoured ice-creams and 4 strawberry flavoured ice-creams. What fraction of the ice-creams is strawberry flavoured?
#### Solution:
1. Total number of ice-creams:
\[
8 \text{ (vanilla)} + 4 \text{ (strawberry)} = 12 \text{ ice-creams}
\]
2. Number of strawberry flavoured ice-creams:
\[
4
\]
3. Fraction of strawberry flavoured ice-creams:
\[
\frac{\text{Number of strawberry flavoured ice-creams}}{\text{Total number of ice-creams}} = \frac{4}{12}
\]
4. Simplify the fraction:
\[
\frac{4}{12} = \frac{1}{3}
\]
Answer:
\[
\boxed{\frac{1}{3}}
\]
---
Eva has 3 vanilla flavoured ice-creams and 2 strawberry flavoured ice-creams. What fraction of the ice-creams is strawberry flavoured?
#### Solution:
1. Total number of ice-creams:
\[
3 \text{ (vanilla)} + 2 \text{ (strawberry)} = 5 \text{ ice-creams}
\]
2. Number of strawberry flavoured ice-creams:
\[
2
\]
3. Fraction of strawberry flavoured ice-creams:
\[
\frac{\text{Number of strawberry flavoured ice-creams}}{\text{Total number of ice-creams}} = \frac{2}{5}
\]
Answer:
\[
\boxed{\frac{2}{5}}
\]
---
Jennie has 5 vanilla flavoured ice-creams and 5 strawberry flavoured ice-creams. What fraction of the ice-cream is vanilla flavoured?
#### Solution:
1. Total number of ice-creams:
\[
5 \text{ (vanilla)} + 5 \text{ (strawberry)} = 10 \text{ ice-creams}
\]
2. Number of vanilla flavoured ice-creams:
\[
5
\]
3. Fraction of vanilla flavoured ice-creams:
\[
\frac{\text{Number of vanilla flavoured ice-creams}}{\text{Total number of ice-creams}} = \frac{5}{10}
\]
4. Simplify the fraction:
\[
\frac{5}{10} = \frac{1}{2}
\]
Answer:
\[
\boxed{\frac{1}{2}}
\]
---
Amelia has 10 vanilla flavoured ice-creams and 5 strawberry flavoured ice-creams. What fraction of the ice-creams is strawberry flavoured?
#### Solution:
1. Total number of ice-creams:
\[
10 \text{ (vanilla)} + 5 \text{ (strawberry)} = 15 \text{ ice-creams}
\]
2. Number of strawberry flavoured ice-creams:
\[
5
\]
3. Fraction of strawberry flavoured ice-creams:
\[
\frac{\text{Number of strawberry flavoured ice-creams}}{\text{Total number of ice-creams}} = \frac{5}{15}
\]
4. Simplify the fraction:
\[
\frac{5}{15} = \frac{1}{3}
\]
Answer:
\[
\boxed{\frac{1}{3}}
\]
---
A new cake recipe requires \(\frac{2}{10}\) cup of sugar for the frosting and \(\frac{3}{10}\) cup of sugar for the cake. How much sugar is that altogether?
#### Solution:
1. Amount of sugar for frosting:
\[
\frac{2}{10} \text{ cups}
\]
2. Amount of sugar for the cake:
\[
\frac{3}{10} \text{ cups}
\]
3. Total amount of sugar:
\[
\frac{2}{10} + \frac{3}{10} = \frac{2 + 3}{10} = \frac{5}{10}
\]
4. Simplify the fraction:
\[
\frac{5}{10} = \frac{1}{2}
\]
Answer:
\[
\boxed{\frac{1}{2}}
\]
---
1. \(\boxed{\frac{1}{3}}\)
2. \(\boxed{\frac{2}{5}}\)
3. \(\boxed{\frac{1}{2}}\)
4. \(\boxed{\frac{1}{3}}\)
5. \(\boxed{\frac{1}{2}}\)
---
Problem 1:
Mia has 8 vanilla flavoured ice-creams and 4 strawberry flavoured ice-creams. What fraction of the ice-creams is strawberry flavoured?
#### Solution:
1. Total number of ice-creams:
\[
8 \text{ (vanilla)} + 4 \text{ (strawberry)} = 12 \text{ ice-creams}
\]
2. Number of strawberry flavoured ice-creams:
\[
4
\]
3. Fraction of strawberry flavoured ice-creams:
\[
\frac{\text{Number of strawberry flavoured ice-creams}}{\text{Total number of ice-creams}} = \frac{4}{12}
\]
4. Simplify the fraction:
\[
\frac{4}{12} = \frac{1}{3}
\]
Answer:
\[
\boxed{\frac{1}{3}}
\]
---
Problem 2:
Eva has 3 vanilla flavoured ice-creams and 2 strawberry flavoured ice-creams. What fraction of the ice-creams is strawberry flavoured?
#### Solution:
1. Total number of ice-creams:
\[
3 \text{ (vanilla)} + 2 \text{ (strawberry)} = 5 \text{ ice-creams}
\]
2. Number of strawberry flavoured ice-creams:
\[
2
\]
3. Fraction of strawberry flavoured ice-creams:
\[
\frac{\text{Number of strawberry flavoured ice-creams}}{\text{Total number of ice-creams}} = \frac{2}{5}
\]
Answer:
\[
\boxed{\frac{2}{5}}
\]
---
Problem 3:
Jennie has 5 vanilla flavoured ice-creams and 5 strawberry flavoured ice-creams. What fraction of the ice-cream is vanilla flavoured?
#### Solution:
1. Total number of ice-creams:
\[
5 \text{ (vanilla)} + 5 \text{ (strawberry)} = 10 \text{ ice-creams}
\]
2. Number of vanilla flavoured ice-creams:
\[
5
\]
3. Fraction of vanilla flavoured ice-creams:
\[
\frac{\text{Number of vanilla flavoured ice-creams}}{\text{Total number of ice-creams}} = \frac{5}{10}
\]
4. Simplify the fraction:
\[
\frac{5}{10} = \frac{1}{2}
\]
Answer:
\[
\boxed{\frac{1}{2}}
\]
---
Problem 4:
Amelia has 10 vanilla flavoured ice-creams and 5 strawberry flavoured ice-creams. What fraction of the ice-creams is strawberry flavoured?
#### Solution:
1. Total number of ice-creams:
\[
10 \text{ (vanilla)} + 5 \text{ (strawberry)} = 15 \text{ ice-creams}
\]
2. Number of strawberry flavoured ice-creams:
\[
5
\]
3. Fraction of strawberry flavoured ice-creams:
\[
\frac{\text{Number of strawberry flavoured ice-creams}}{\text{Total number of ice-creams}} = \frac{5}{15}
\]
4. Simplify the fraction:
\[
\frac{5}{15} = \frac{1}{3}
\]
Answer:
\[
\boxed{\frac{1}{3}}
\]
---
Problem 5:
A new cake recipe requires \(\frac{2}{10}\) cup of sugar for the frosting and \(\frac{3}{10}\) cup of sugar for the cake. How much sugar is that altogether?
#### Solution:
1. Amount of sugar for frosting:
\[
\frac{2}{10} \text{ cups}
\]
2. Amount of sugar for the cake:
\[
\frac{3}{10} \text{ cups}
\]
3. Total amount of sugar:
\[
\frac{2}{10} + \frac{3}{10} = \frac{2 + 3}{10} = \frac{5}{10}
\]
4. Simplify the fraction:
\[
\frac{5}{10} = \frac{1}{2}
\]
Answer:
\[
\boxed{\frac{1}{2}}
\]
---
Final Answers:
1. \(\boxed{\frac{1}{3}}\)
2. \(\boxed{\frac{2}{5}}\)
3. \(\boxed{\frac{1}{2}}\)
4. \(\boxed{\frac{1}{3}}\)
5. \(\boxed{\frac{1}{2}}\)
Parent Tip: Review the logic above to help your child master the concept of fraction word problems 5th grade worksheet.