5th Grade Math Word Problems: Free Worksheets with Answers ... - Free Printable

Let's solve each of these word problems involving multiplying fractions step by step.

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1) Lucy is training for a long distance race. She runs $\frac{2}{3}$ of a kilometer every day during her first week of training. How many kilometers did she run during that first week?

Step 1: Identify key information
- Lucy runs $\frac{2}{3}$ km per day
- She trains for 7 days (1 week)

Step 2: Multiply the daily distance by the number of days
$$
\frac{2}{3} \times 7 = \frac{2 \times 7}{3} = \frac{14}{3}
$$

Step 3: Simplify (convert to mixed number)
$$
\frac{14}{3} = 4 \frac{2}{3}
$$

✔ Answer: $4 \frac{2}{3}$ kilometers

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2) If it takes Micah 4 minutes to swim $\frac{1}{10}$ of a kilometer, how long would it take him to swim 2 kilometers?

Step 1: Find how long it takes to swim 1 kilometer
- $\frac{1}{10}$ km → 4 minutes
- So, 1 km → $4 \times 10 = 40$ minutes

Step 2: Multiply by 2 for 2 km
$$
40 \times 2 = 80 \text{ minutes}
$$

✔ Answer: 80 minutes

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3) There are 27 players on the JV baseball team. Out of all of the players, $\frac{1}{3}$ of them are left-handed. Of those left-handed players, $\frac{2}{3}$ of them are over 6 feet tall. How many players on the JV baseball team are left-handed and over 6 feet tall?

Step 1: Find number of left-handed players
$$
\frac{1}{3} \times 27 = 9 \text{ left-handed players}
$$

Step 2: Find how many of those are over 6 feet tall
$$
\frac{2}{3} \times 9 = 6
$$

✔ Answer: 6 players

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4) Danny ordered 16 pizzas for a party. $\frac{3}{4}$ of the pizzas have toppings and the rest are plain. Of the pizzas with toppings, $\frac{1}{2}$ of them have olives and the rest have only mushrooms. How many pizzas have only mushrooms?

Step 1: Pizzas with toppings
$$
\frac{3}{4} \times 16 = 12 \text{ pizzas with toppings}
$$

Step 2: Half of these have olives, so half have mushrooms
$$
\frac{1}{2} \times 12 = 6 \text{ pizzas with only mushrooms}
$$

✔ Answer: 6 pizzas

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5) There is $\frac{3}{4}$ of a birthday cake left over from last night’s party. Maria ate $\frac{1}{2}$ of the leftover cake for breakfast this morning. How much of the cake did she eat?

Step 1: Multiply the portion left by what Maria ate
$$
\frac{1}{2} \times \frac{3}{4} = \frac{3}{8}
$$

✔ Answer: $\frac{3}{8}$ of the whole cake

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6) Tina is making bags of homemade cookies to share with her coworkers. She plans on making 36 cookies, where each cookie will weigh $\frac{1}{3}$ pounds. If she puts 4 cookies in each box, how much will each box weigh?

Step 1: Weight of one cookie = $\frac{1}{3}$ lb
Step 2: Weight of 4 cookies
$$
4 \times \frac{1}{3} = \frac{4}{3} \text{ pounds}
$$

Step 3: Convert to mixed number
$$
\frac{4}{3} = 1 \frac{1}{3} \text{ pounds}
$$

✔ Answer: $1 \frac{1}{3}$ pounds

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✔ Final Answers:

1) $4 \frac{2}{3}$ km
2) 80 minutes
3) 6 players
4) 6 pizzas
5) $\frac{3}{8}$ of the cake
6) $1 \frac{1}{3}$ pounds

Let me know if you'd like this formatted as a printable worksheet or need explanations in simpler terms!