Multiplying Fractions and Whole Numbers worksheet with word problems.

Let’s solve each problem one by one, step by step.

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Problem 1:

> Adam needs to drive a distance of 372 miles to attend a seminar in New York. He stops over to grab a quick bite after he covers 1/3 of the total distance. How many more miles does Adam need to drive to reach his destination?

Step 1: Find out how far Adam has driven when he stops.
He drives 1/3 of 372 miles.

So, calculate:
372 ÷ 3 = 124 miles

That means he has driven 124 miles so far.

Step 2: Subtract that from the total distance to find how much is left.

372 - 124 = 248 miles

✔ So, Adam still needs to drive 248 miles.

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Problem 2:

> Carlos’ vegetable garden contains 20 pounds of bell peppers. He gave 2/5 of the yield to his neighbor Jason. How many pounds of bell peppers did he give to Jason?

Step 1: We need to find 2/5 of 20 pounds.

First, find 1/5 of 20:
20 ÷ 5 = 4

Then multiply by 2 (because it’s 2/5):
4 × 2 = 8

✔ So, Carlos gave Jason 8 pounds of bell peppers.

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Problem 3:

> Trinity High School started with an enrollment of Spring of 4/5 of the school year. If there are 600 students enrolled at the beginning of the year, how many students were enrolled in Spring?

Wait — let’s read carefully.

It says: “started with an enrollment of Spring of 4/5 of the school year.” That wording is confusing.

But looking again:
“Trinity High School started with an enrollment of Spring of 4/5 of the school year. If there are 600 students enrolled at the beginning of the year...”

Actually, this seems like a typo or misphrasing. Probably meant:

> Trinity High School had 600 students at the beginning of the year. In Spring, the enrollment was 4/5 of that number.

That makes sense.

So, we need to find 4/5 of 600.

Step 1: Find 1/5 of 600 → 600 ÷ 5 = 120

Step 2: Multiply by 4 → 120 × 4 = 480

✔ So, in Spring, there were 480 students enrolled.

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Problem 4:

> Lisa’s strawberry farm had 60 acres. It is harvested for strawberries for five months and family use spans for two months per year. What fraction of the land is used for family use?

Total time the land is used = 5 months (for harvesting) + 2 months (family use) = 7 months

Family use = 2 months

So, fraction used for family = 2 / 7

✔ Answer: 2/7

(Note: The 60 acres is extra info — not needed since we’re asked for fraction of *time*, not area.)

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Problem 5:

> Abigail’s family houseboat lost 8 feet of its center ring. She cut some hardwood planks to replace the missing part. Each plank is 2 feet long. How many planks did she need?

She needs to cover 8 feet.

Each plank is 2 feet long.

So, number of planks = 8 ÷ 2 = 4

✔ She needed 4 planks.

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Final Answers:

1. 248 miles
2. 8 pounds
3. 480 students
4. 2/7
5. 4 planks