Fraction Word Problems Worksheets - 15 Worksheets Library - Free Printable

Sure! Let’s solve each of the 10 fraction word problems from the “Board Games Fraction Word Problems” worksheet. I’ll explain each step clearly.

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1. Game Time: A board game lasts for 60 minutes. If 1/4 of the time is spent rolling dice, how many minutes are spent rolling dice?

→ We need to find 1/4 of 60 minutes.

Calculation:
1/4 × 60 = 60 ÷ 4 = 15 minutes

✔ Answer: 15 minutes

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2. Players: In a board game, there are 6 players. If 2/3 of the players are using red game pieces, how many players are using red game pieces?

→ Find 2/3 of 6.

Calculation:
2/3 × 6 = (2 × 6) ÷ 3 = 12 ÷ 3 = 4 players

✔ Answer: 4 players

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3. Dice Roll: A standard die has 6 sides. If 1/6 of the rolls result in a "6", how many rolls will result in a "6"?

→ This question is a bit ambiguous without total number of rolls. But since it says “how many rolls will result in a 6?” and gives 1/6 as the probability, we assume it’s asking for one roll — meaning, on average, 1 out of every 6 rolls is a 6.

But if we interpret it as: *If you roll the die once, what’s the chance?* — that’s 1/6, but the question asks “how many rolls will result in a 6?” — which implies a count.

Actually, re-reading: It might be implying a single roll? Or perhaps it’s testing understanding that 1/6 means 1 out of 6.

Wait — let’s look at context. The other problems give totals. This one doesn’t specify total rolls. That’s odd.

But note: the problem says “if 1/6 of the rolls result in a ‘6’”, then asks “how many rolls will result in a ‘6’?” — this is incomplete unless we assume a standard context.

Actually, looking at the wording again — it may be poorly phrased. But in most such worksheets, when they say “1/6 of the rolls result in a 6”, and ask “how many rolls result in a 6?”, they often mean in one roll, the probability is 1/6, so the expected number per roll is 1/6 — but that’s not a whole number.

Alternatively, maybe it’s expecting: “If you roll the die 6 times, how many times do you expect a 6?” → Then answer is 1.

Since no total is given, and it’s a fraction word problem, the most reasonable assumption is that it’s asking: Out of 6 rolls, how many result in a 6?

Because 1/6 of 6 = 1.

✔ Answer: 1 roll *(assuming 6 total rolls)*

*(Note: If the problem meant “per roll”, then it would be 1/6, but since it asks “how many rolls”, it expects a whole number — so 6 rolls assumed.)*

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4. Winning Probability: In a board game, a player rolls two dice. If 1/12 of the outcomes result in rolling a double, what is the probability of rolling a double?

→ The question already states: “If 1/12 of the outcomes result in rolling a double...”

So the probability is 1/12.

This is likely a trick question to see if students recognize that the probability is given directly.

✔ Answer: 1/12

*(Note: Actually, in real dice, probability of rolling a double with two dice is 6/36 = 1/6 — but here the problem says “if 1/12...”, so we go with the given value.)*

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5. Game Cards: A board game has 100 cards. If 3/5 of the cards are event cards, how many cards are event cards?

→ Find 3/5 of 100.

Calculation:
3/5 × 100 = (3 × 100) ÷ 5 = 300 ÷ 5 = 60 cards

✔ Answer: 60 cards

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6. Board Sections: A board game has 20 sections on the board. If 2/5 of the sections are marked as “Start”, how many sections are marked as “Start”?

→ Find 2/5 of 20.

Calculation:
2/5 × 20 = (2 × 20) ÷ 5 = 40 ÷ 5 = 8 sections

✔ Answer: 8 sections

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7. Spinner Probability: A game spinner is divided into 8 equal sections. If 3/8 of the spins result in landing on a “Special” section, what is the probability of landing on a “Special” section?

→ Again, the problem says “if 3/8 of the spins result in...”, so the probability is given as 3/8.

✔ Answer: 3/8

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8. Turn Order: In a board game, there are 4 players. If 1/4 of the turns are taken by the first player, how many turns does the first player take?

→ This is similar to #3 — it doesn’t specify total turns. But since it says “1/4 of the turns”, and asks “how many turns”, we must assume a total.

In context, if there are 4 players, and turns are distributed equally, then over 4 turns, each player takes 1 turn.

So 1/4 of 4 turns = 1 turn.

✔ Answer: 1 turn *(assuming 4 total turns)*

*(Note: If total turns were different, answer changes — but without specification, 4 turns is logical.)*

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9. Game Moves: A player needs to move their game piece 30 spaces to reach the finish line. If they move 2/3 of the required spaces, how many spaces do they move?

→ Find 2/3 of 30.

Calculation:
2/3 × 30 = (2 × 30) ÷ 3 = 60 ÷ 3 = 20 spaces

✔ Answer: 20 spaces

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10. Dice Probability: In a board game, two dice are rolled. If the sum of the numbers rolled is less than or equal to 5, what is the probability of this occurring?

→ This is a true probability question — not based on given fractions.

We need to calculate actual probability.

Total possible outcomes when rolling two dice: 6 × 6 = 36

Now, list all outcomes where sum ≤ 5:

Sum = 2: (1,1) → 1 outcome
Sum = 3: (1,2), (2,1) → 2 outcomes
Sum = 4: (1,3), (2,2), (3,1) → 3 outcomes
Sum = 5: (1,4), (2,3), (3,2), (4,1) → 4 outcomes

Total favorable outcomes = 1 + 2 + 3 + 4 = 10

Probability = 10 / 36 = 5/18

✔ Answer: 5/18

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## ✔ Final Answers Summary:

1. 15 minutes
2. 4 players
3. 1 roll *(assuming 6 total rolls)*
4. 1/12
5. 60 cards
6. 8 sections
7. 3/8
8. 1 turn *(assuming 4 total turns)*
9. 20 spaces
10. 5/18

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Let me know if you’d like these explained visually or with diagrams!