Multi-step fraction word problems worksheet for students to practice finding fractions in real-life scenarios.

Let's solve each problem step by step.

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Problem 1: Jeremy's Marbles

Jeremy has 18 marbles and loses 6 of them.

#### Part (a): What fraction of the marbles does he lose?
- Total marbles = 18
- Marbles lost = 6
- Fraction lost = \(\frac{\text{Marbles lost}}{\text{Total marbles}} = \frac{6}{18}\)

Simplify the fraction:
\[
\frac{6}{18} = \frac{6 \div 6}{18 \div 6} = \frac{1}{3}
\]

So, the fraction of marbles Jeremy loses is \(\frac{1}{3}\).

#### Part (b): What fraction of the marbles does he have left?
- Marbles left = Total marbles - Marbles lost = \(18 - 6 = 12\)
- Fraction left = \(\frac{\text{Marbles left}}{\text{Total marbles}} = \frac{12}{18}\)

Simplify the fraction:
\[
\frac{12}{18} = \frac{12 \div 6}{18 \div 6} = \frac{2}{3}
\]

So, the fraction of marbles Jeremy has left is \(\frac{2}{3}\).

#### Final Answer for Problem 1:
- Part (a): \(\boxed{\frac{1}{3}}\)
- Part (b): \(\boxed{\frac{2}{3}}\)

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Problem 2: Mrs. Yan's Tulips

Mrs. Yan buys 4 red tulips and 5 yellow tulips.

#### Part (a): What fraction of the tulips are red?
- Total tulips = Red tulips + Yellow tulips = \(4 + 5 = 9\)
- Fraction of red tulips = \(\frac{\text{Red tulips}}{\text{Total tulips}} = \frac{4}{9}\)

So, the fraction of tulips that are red is \(\frac{4}{9}\).

#### Part (b): What fraction of the tulips are yellow?
- Fraction of yellow tulips = \(\frac{\text{Yellow tulips}}{\text{Total tulips}} = \frac{5}{9}\)

So, the fraction of tulips that are yellow is \(\frac{5}{9}\).

#### Final Answer for Problem 2:
- Part (a): \(\boxed{\frac{4}{9}}\)
- Part (b): \(\boxed{\frac{5}{9}}\)

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Problem 3: Charles's Pets

Charles owns 3 cats, 4 goldfish, and some parakeets. Altogether, he owns 10 pets.

#### Step 1: Determine the number of parakeets
- Total pets = Cats + Goldfish + Parakeets
- \(10 = 3 + 4 + \text{Parakeets}\)
- \(\text{Parakeets} = 10 - 3 - 4 = 3\)

So, Charles owns 3 parakeets.

#### Part (a): What fraction of his pets are goldfish?
- Total pets = 10
- Number of goldfish = 4
- Fraction of goldfish = \(\frac{\text{Goldfish}}{\text{Total pets}} = \frac{4}{10}\)

Simplify the fraction:
\[
\frac{4}{10} = \frac{4 \div 2}{10 \div 2} = \frac{2}{5}
\]

So, the fraction of pets that are goldfish is \(\frac{2}{5}\).

#### Part (b): What fraction of his pets are parakeets?
- Number of parakeets = 3
- Fraction of parakeets = \(\frac{\text{Parakeets}}{\text{Total pets}} = \frac{3}{10}\)

So, the fraction of pets that are parakeets is \(\frac{3}{10}\).

#### Final Answer for Problem 3:
- Part (a): \(\boxed{\frac{2}{5}}\)
- Part (b): \(\boxed{\frac{3}{10}}\)

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Summary of Final Answers:

1. (a) \(\boxed{\frac{1}{3}}\), (b) \(\boxed{\frac{2}{3}}\)
2. (a) \(\boxed{\frac{4}{9}}\), (b) \(\boxed{\frac{5}{9}}\)
3. (a) \(\boxed{\frac{2}{5}}\), (b) \(\boxed{\frac{3}{10}}\)