Word Problems Worksheets | Dynamically Created Word Problems - Free Printable
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Step-by-step solution for: Word Problems Worksheets | Dynamically Created Word Problems
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Show Answer Key & Explanations
Step-by-step solution for: Word Problems Worksheets | Dynamically Created Word Problems
Let’s solve each problem one by one. We’re adding mixed numbers (a whole number and a fraction). To add them, we can:
1. Add the whole numbers together.
2. Add the fractions together.
3. If the fraction part is more than 1, turn it into a mixed number and add the whole number part to the total.
We’ll do this for each problem carefully.
---
Problem 1:
Tom completed $1 \frac{3}{4}$ crosswords on Wednesday and $2 \frac{1}{4}$ on Thursday.
Add whole numbers: $1 + 2 = 3$
Add fractions: $\frac{3}{4} + \frac{1}{4} = \frac{4}{4} = 1$
Total: $3 + 1 = 4$
✔ Final Answer for #1: 4
---
Problem 2:
Dan has $1 \frac{3}{7}$ week’s pay in wallet and $1 \frac{1}{7}$ in bank.
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{3}{7} + \frac{1}{7} = \frac{4}{7}$
Total: $2 \frac{4}{7}$
✔ Final Answer for #2: $2 \frac{4}{7}$
---
Problem 3:
Tim drank $1 \frac{5}{9}$ cup at breakfast and $1 \frac{3}{9}$ at dinner.
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{5}{9} + \frac{3}{9} = \frac{8}{9}$
Total: $2 \frac{8}{9}$
✔ Final Answer for #3: $2 \frac{8}{9}$
---
Problem 4:
Mary read $1 \frac{1}{12}$ books Thursday and $1 \frac{6}{12}$ Saturday.
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{1}{12} + \frac{6}{12} = \frac{7}{12}$
Total: $2 \frac{7}{12}$
✔ Final Answer for #4: $2 \frac{7}{12}$
---
Problem 5:
Keith ate $1 \frac{1}{5}$ pies, Jessica ate $1 \frac{5}{5}$ pies.
Note: $\frac{5}{5} = 1$, so Jessica ate $1 + 1 = 2$ pies.
But let’s do it step by step as mixed numbers:
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{1}{5} + \frac{5}{5} = \frac{6}{5} = 1 \frac{1}{5}$
Now add that extra 1 to the whole number: $2 + 1 = 3$, plus $\frac{1}{5}$ → $3 \frac{1}{5}$
Alternatively: Keith: $1 \frac{1}{5}$, Jessica: $2$ (since $1 \frac{5}{5} = 2$) → $1 \frac{1}{5} + 2 = 3 \frac{1}{5}$
✔ Final Answer for #5: $3 \frac{1}{5}$
---
Problem 6:
Tim planted $1 \frac{2}{5}$ rows peppers and $1 \frac{1}{5}$ rows beans.
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{2}{5} + \frac{1}{5} = \frac{3}{5}$
Total: $2 \frac{3}{5}$
✔ Final Answer for #6: $2 \frac{3}{5}$
---
Problem 7:
Recipe calls for $1 \frac{2}{7}$ cups chopped tomatoes and $1 \frac{3}{7}$ diced tomatoes.
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{2}{7} + \frac{3}{7} = \frac{5}{7}$
Total: $2 \frac{5}{7}$
✔ Final Answer for #7: $2 \frac{5}{7}$
---
Problem 8:
Sam did $1 \frac{1}{2}$ loads Saturday and $1 \frac{1}{3}$ Friday.
Different denominators! Need common denominator for $\frac{1}{2}$ and $\frac{1}{3}$.
LCM of 2 and 3 is 6.
$\frac{1}{2} = \frac{3}{6}$, $\frac{1}{3} = \frac{2}{6}$
So: $1 \frac{3}{6} + 1 \frac{2}{6}$
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$
Total: $2 \frac{5}{6}$
✔ Final Answer for #8: $2 \frac{5}{6}$
---
Problem 9:
Benny bought $1 \frac{1}{8}$ pounds chicken and $1 \frac{2}{8}$ turkey.
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{1}{8} + \frac{2}{8} = \frac{3}{8}$
Total: $2 \frac{3}{8}$
✔ Final Answer for #9: $2 \frac{3}{8}$
---
Problem 10:
Alyssa picked $1 \frac{3}{8}$ buckets, Jason picked $2 \frac{1}{4}$ buckets.
Different denominators: 8 and 4 → LCM is 8.
Convert $\frac{1}{4} = \frac{2}{8}$, so Jason: $2 \frac{2}{8}$
Now add: $1 \frac{3}{8} + 2 \frac{2}{8}$
Whole numbers: $1 + 2 = 3$
Fractions: $\frac{3}{8} + \frac{2}{8} = \frac{5}{8}$
Total: $3 \frac{5}{8}$
✔ Final Answer for #10: $3 \frac{5}{8}$
---
Final Answer:
1) 4
2) $2 \frac{4}{7}$
3) $2 \frac{8}{9}$
4) $2 \frac{7}{12}$
5) $3 \frac{1}{5}$
6) $2 \frac{3}{5}$
7) $2 \frac{5}{7}$
8) $2 \frac{5}{6}$
9) $2 \frac{3}{8}$
10) $3 \frac{5}{8}$
1. Add the whole numbers together.
2. Add the fractions together.
3. If the fraction part is more than 1, turn it into a mixed number and add the whole number part to the total.
We’ll do this for each problem carefully.
---
Problem 1:
Tom completed $1 \frac{3}{4}$ crosswords on Wednesday and $2 \frac{1}{4}$ on Thursday.
Add whole numbers: $1 + 2 = 3$
Add fractions: $\frac{3}{4} + \frac{1}{4} = \frac{4}{4} = 1$
Total: $3 + 1 = 4$
✔ Final Answer for #1: 4
---
Problem 2:
Dan has $1 \frac{3}{7}$ week’s pay in wallet and $1 \frac{1}{7}$ in bank.
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{3}{7} + \frac{1}{7} = \frac{4}{7}$
Total: $2 \frac{4}{7}$
✔ Final Answer for #2: $2 \frac{4}{7}$
---
Problem 3:
Tim drank $1 \frac{5}{9}$ cup at breakfast and $1 \frac{3}{9}$ at dinner.
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{5}{9} + \frac{3}{9} = \frac{8}{9}$
Total: $2 \frac{8}{9}$
✔ Final Answer for #3: $2 \frac{8}{9}$
---
Problem 4:
Mary read $1 \frac{1}{12}$ books Thursday and $1 \frac{6}{12}$ Saturday.
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{1}{12} + \frac{6}{12} = \frac{7}{12}$
Total: $2 \frac{7}{12}$
✔ Final Answer for #4: $2 \frac{7}{12}$
---
Problem 5:
Keith ate $1 \frac{1}{5}$ pies, Jessica ate $1 \frac{5}{5}$ pies.
Note: $\frac{5}{5} = 1$, so Jessica ate $1 + 1 = 2$ pies.
But let’s do it step by step as mixed numbers:
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{1}{5} + \frac{5}{5} = \frac{6}{5} = 1 \frac{1}{5}$
Now add that extra 1 to the whole number: $2 + 1 = 3$, plus $\frac{1}{5}$ → $3 \frac{1}{5}$
Alternatively: Keith: $1 \frac{1}{5}$, Jessica: $2$ (since $1 \frac{5}{5} = 2$) → $1 \frac{1}{5} + 2 = 3 \frac{1}{5}$
✔ Final Answer for #5: $3 \frac{1}{5}$
---
Problem 6:
Tim planted $1 \frac{2}{5}$ rows peppers and $1 \frac{1}{5}$ rows beans.
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{2}{5} + \frac{1}{5} = \frac{3}{5}$
Total: $2 \frac{3}{5}$
✔ Final Answer for #6: $2 \frac{3}{5}$
---
Problem 7:
Recipe calls for $1 \frac{2}{7}$ cups chopped tomatoes and $1 \frac{3}{7}$ diced tomatoes.
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{2}{7} + \frac{3}{7} = \frac{5}{7}$
Total: $2 \frac{5}{7}$
✔ Final Answer for #7: $2 \frac{5}{7}$
---
Problem 8:
Sam did $1 \frac{1}{2}$ loads Saturday and $1 \frac{1}{3}$ Friday.
Different denominators! Need common denominator for $\frac{1}{2}$ and $\frac{1}{3}$.
LCM of 2 and 3 is 6.
$\frac{1}{2} = \frac{3}{6}$, $\frac{1}{3} = \frac{2}{6}$
So: $1 \frac{3}{6} + 1 \frac{2}{6}$
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$
Total: $2 \frac{5}{6}$
✔ Final Answer for #8: $2 \frac{5}{6}$
---
Problem 9:
Benny bought $1 \frac{1}{8}$ pounds chicken and $1 \frac{2}{8}$ turkey.
Whole numbers: $1 + 1 = 2$
Fractions: $\frac{1}{8} + \frac{2}{8} = \frac{3}{8}$
Total: $2 \frac{3}{8}$
✔ Final Answer for #9: $2 \frac{3}{8}$
---
Problem 10:
Alyssa picked $1 \frac{3}{8}$ buckets, Jason picked $2 \frac{1}{4}$ buckets.
Different denominators: 8 and 4 → LCM is 8.
Convert $\frac{1}{4} = \frac{2}{8}$, so Jason: $2 \frac{2}{8}$
Now add: $1 \frac{3}{8} + 2 \frac{2}{8}$
Whole numbers: $1 + 2 = 3$
Fractions: $\frac{3}{8} + \frac{2}{8} = \frac{5}{8}$
Total: $3 \frac{5}{8}$
✔ Final Answer for #10: $3 \frac{5}{8}$
---
Final Answer:
1) 4
2) $2 \frac{4}{7}$
3) $2 \frac{8}{9}$
4) $2 \frac{7}{12}$
5) $3 \frac{1}{5}$
6) $2 \frac{3}{5}$
7) $2 \frac{5}{7}$
8) $2 \frac{5}{6}$
9) $2 \frac{3}{8}$
10) $3 \frac{5}{8}$
Parent Tip: Review the logic above to help your child master the concept of multiplying mixed numbers word problems worksheet.