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Math worksheet with fraction word problems for students to solve.

A math worksheet titled "Word Problems" featuring ten fraction-based word problems involving addition, subtraction, and real-life scenarios, with spaces for answers and fields for name, teacher, score, and date at the top. The worksheet is from Math-Aids.Com.

A math worksheet titled "Word Problems" featuring ten fraction-based word problems involving addition, subtraction, and real-life scenarios, with spaces for answers and fields for name, teacher, score, and date at the top. The worksheet is from Math-Aids.Com.

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Show Answer Key & Explanations Step-by-step solution for: Word Problems Worksheets | Dynamically Created Word Problems
Let's solve each of these word problems step by step. All the problems involve adding mixed numbers (a whole number and a fraction), so we'll convert them to improper fractions, add them, and then simplify as needed.

---

1) Tom completed $1\frac{3}{4}$ crosswords on Wednesday and $2\frac{1}{4}$ crosswords on Thursday. In total, what fraction of these crosswords did Tom finish?



Step 1: Convert mixed numbers to improper fractions:
- $1\frac{3}{4} = \frac{7}{4}$
- $2\frac{1}{4} = \frac{9}{4}$

Step 2: Add:
$$
\frac{7}{4} + \frac{9}{4} = \frac{16}{4} = 4
$$

Answer: Tom finished 4 crosswords in total.

---

2) Dan has $1\frac{1}{2}$ week’s worth of pay in a wallet and $1\frac{1}{7}$ week’s worth of pay in the bank. How many weeks of pay does Dan have?



Convert:
- $1\frac{1}{2} = \frac{3}{2}$
- $1\frac{1}{7} = \frac{8}{7}$

Find common denominator: LCM of 2 and 7 is 14.

$$
\frac{3}{2} = \frac{21}{14},\quad \frac{8}{7} = \frac{16}{14}
$$

Add:
$$
\frac{21}{14} + \frac{16}{14} = \frac{37}{14} = 2\frac{9}{14}
$$

Answer: Dan has $2\frac{9}{14}$ weeks of pay.

---

3) Tim drank $1\frac{2}{5}$ of a cup of milk at breakfast and $1\frac{3}{5}$ of a cup of milk at dinner. In total, how many cups of milk did Tim drink today?



Convert:
- $1\frac{2}{5} = \frac{7}{5}$
- $1\frac{3}{5} = \frac{8}{5}$

Add:
$$
\frac{7}{5} + \frac{8}{5} = \frac{15}{5} = 3
$$

Answer: Tim drank 3 cups of milk.

---

4) Mary has to read some books for school. Mary read $1\frac{1}{12}$ books on Thursday, and $1\frac{5}{12}$ books on Saturday. How many books has Mary read?



Convert:
- $1\frac{1}{12} = \frac{13}{12}$
- $1\frac{5}{12} = \frac{17}{12}$

Add:
$$
\frac{13}{12} + \frac{17}{12} = \frac{30}{12} = \frac{5}{2} = 2\frac{1}{2}
$$

Answer: Mary read $2\frac{1}{2}$ books.

---

5) Keith ate $1\frac{1}{5}$ pies, while Jessica ate $1\frac{5}{8}$ pies. In total, how much pie did these two eat?



Convert:
- $1\frac{1}{5} = \frac{6}{5}$
- $1\frac{5}{8} = \frac{13}{8}$

LCM of 5 and 8 is 40.

$$
\frac{6}{5} = \frac{48}{40},\quad \frac{13}{8} = \frac{65}{40}
$$

Add:
$$
\frac{48}{40} + \frac{65}{40} = \frac{113}{40} = 2\frac{33}{40}
$$

Answer: They ate $2\frac{33}{40}$ pies.

---

6) Tim planted $1\frac{2}{3}$ rows of peppers and $1\frac{1}{2}$ rows of beans in a garden. In total, how many rows of vegetables did Tim plant?



Convert:
- $1\frac{2}{3} = \frac{5}{3}$
- $1\frac{1}{2} = \frac{3}{2}$

LCM of 3 and 2 is 6.

$$
\frac{5}{3} = \frac{10}{6},\quad \frac{3}{2} = \frac{9}{6}
$$

Add:
$$
\frac{10}{6} + \frac{9}{6} = \frac{19}{6} = 3\frac{1}{6}
$$

Answer: Tim planted $3\frac{1}{6}$ rows.

---

7) A recipe called for $1\frac{1}{2}$ cups chopped tomatoes and $1\frac{3}{7}$ cups of diced tomatoes. In total, how many cups of tomatoes did the recipe call for?



Convert:
- $1\frac{1}{2} = \frac{3}{2}$
- $1\frac{3}{7} = \frac{10}{7}$

LCM of 2 and 7 is 14.

$$
\frac{3}{2} = \frac{21}{14},\quad \frac{10}{7} = \frac{20}{14}
$$

Add:
$$
\frac{21}{14} + \frac{20}{14} = \frac{41}{14} = 2\frac{13}{14}
$$

Answer: The recipe calls for $2\frac{13}{14}$ cups of tomatoes.

---

8) Sam did $1\frac{1}{4}$ loads of laundry on Saturday and $1\frac{1}{3}$ loads of laundry on Friday. What fraction of laundry did Sam do in total?



Convert:
- $1\frac{1}{4} = \frac{5}{4}$
- $1\frac{1}{3} = \frac{4}{3}$

LCM of 4 and 3 is 12.

$$
\frac{5}{4} = \frac{15}{12},\quad \frac{4}{3} = \frac{16}{12}
$$

Add:
$$
\frac{15}{12} + \frac{16}{12} = \frac{31}{12} = 2\frac{7}{12}
$$

Answer: Sam did $2\frac{7}{12}$ loads of laundry.

---

9) Benny bought $1\frac{1}{4}$ pounds of chicken and $1\frac{3}{8}$ pounds of turkey at the store. In total, how many pounds of meat did Benny buy?



Convert:
- $1\frac{1}{4} = \frac{5}{4}$
- $1\frac{3}{8} = \frac{11}{8}$

LCM of 4 and 8 is 8.

$$
\frac{5}{4} = \frac{10}{8},\quad \frac{11}{8} = \frac{11}{8}
$$

Add:
$$
\frac{10}{8} + \frac{11}{8} = \frac{21}{8} = 2\frac{5}{8}
$$

Answer: Benny bought $2\frac{5}{8}$ pounds of meat.

---

10) Alyssa picked $1\frac{3}{8}$ buckets of limes, and Jason picked $2\frac{1}{4}$ buckets of limes. How many buckets total did they pick?



Convert:
- $1\frac{3}{8} = \frac{11}{8}$
- $2\frac{1}{4} = \frac{9}{4}$

LCM of 8 and 4 is 8.

$$
\frac{9}{4} = \frac{18}{8}
$$

Add:
$$
\frac{11}{8} + \frac{18}{8} = \frac{29}{8} = 3\frac{5}{8}
$$

Answer: They picked $3\frac{5}{8}$ buckets total.

---

Final Answers:



1. $4$
2. $2\frac{9}{14}$
3. $3$
4. $2\frac{1}{2}$
5. $2\frac{33}{40}$
6. $3\frac{1}{6}$
7. $2\frac{13}{14}$
8. $2\frac{7}{12}$
9. $2\frac{5}{8}$
10. $3\frac{5}{8}$

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