Quiz worksheet from Quizizz featuring 15 questions on converting improper fractions to mixed numbers.

Problem: Convert improper fractions to mixed numbers

The task involves converting improper fractions into mixed numbers. An improper fraction is a fraction where the numerator is greater than or equal to the denominator. A mixed number consists of a whole number and a proper fraction.

To convert an improper fraction to a mixed number:
1. Divide the numerator by the denominator.
2. The quotient becomes the whole number part.
3. The remainder becomes the numerator of the fractional part.
4. The denominator remains the same.

Let's solve each problem step by step.

---

Question 1: Write the improper fraction as a mixed number

$$
\frac{23}{5}
$$

#### Solution:
1. Divide the numerator (23) by the denominator (5):
$$
23 \div 5 = 4 \text{ remainder } 3
$$
- Quotient = 4
- Remainder = 3

2. Write the mixed number:
$$
4 \frac{3}{5}
$$

#### Answer:
$$
\boxed{B}
$$

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Question 2: Write the improper fraction as a mixed number

$$
\frac{36}{4}
$$

#### Solution:
1. Divide the numerator (36) by the denominator (4):
$$
36 \div 4 = 9 \text{ remainder } 0
$$
- Quotient = 9
- Remainder = 0

2. Since the remainder is 0, the fraction simplifies to a whole number:
$$
9
$$

#### Answer:
$$
\boxed{D}
$$

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Question 3: Write the improper fraction as a mixed number

$$
\frac{12}{4}
$$

#### Solution:
1. Divide the numerator (12) by the denominator (4):
$$
12 \div 4 = 3 \text{ remainder } 0
$$
- Quotient = 3
- Remainder = 0

2. Since the remainder is 0, the fraction simplifies to a whole number:
$$
3
$$

#### Answer:
$$
\boxed{D}
$$

---

Question 4: Write the improper fraction as a mixed number

$$
\frac{22}{3}
$$

#### Solution:
1. Divide the numerator (22) by the denominator (3):
$$
22 \div 3 = 7 \text{ remainder } 1
$$
- Quotient = 7
- Remainder = 1

2. Write the mixed number:
$$
7 \frac{1}{3}
$$

#### Answer:
$$
\boxed{A}
$$

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Question 5: Write the improper fraction as a mixed number

$$
\frac{27}{8}
$$

#### Solution:
1. Divide the numerator (27) by the denominator (8):
$$
27 \div 8 = 3 \text{ remainder } 3
$$
- Quotient = 3
- Remainder = 3

2. Write the mixed number:
$$
3 \frac{3}{8}
$$

#### Answer:
$$
\boxed{C}
$$

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Question 6: Write the improper fraction as a mixed number in simplest form

$$
\frac{30}{9}
$$

#### Solution:
1. Divide the numerator (30) by the denominator (9):
$$
30 \div 9 = 3 \text{ remainder } 3
$$
- Quotient = 3
- Remainder = 3

2. Write the mixed number:
$$
3 \frac{3}{9}
$$

3. Simplify the fractional part:
$$
\frac{3}{9} = \frac{1}{3} \quad (\text{divide numerator and denominator by 3})
$$

4. Final mixed number:
$$
3 \frac{1}{3}
$$

#### Answer:
$$
\boxed{3 \frac{1}{3}}
$$

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Final Answers:

1. $\boxed{B}$
2. $\boxed{D}$
3. $\boxed{D}$
4. $\boxed{A}$
5. $\boxed{C}$
6. $\boxed{3 \frac{1}{3}}$