Mixed numbers and improper fractions test questions for 4th grade

📚 Quick Study Guide

• 🍎Mixed Numbers: A mixed number is a whole number and a fraction combined, like $2\frac{1}{2}$.
• ➗Improper Fractions: An improper fraction has a numerator (top number) greater than or equal to the denominator (bottom number), like $\frac{5}{2}$.
• 🔄Converting Mixed Numbers to Improper Fractions: Multiply the whole number by the denominator, add the numerator, and keep the same denominator. For example, $2\frac{1}{2} = \frac{(2 \times 2) + 1}{2} = \frac{5}{2}$.
• ➗Converting Improper Fractions to Mixed Numbers: Divide the numerator by the denominator. The quotient is the whole number, the remainder is the new numerator, and the denominator stays the same. For example, $\frac{7}{3} = 2\frac{1}{3}$ (7 ÷ 3 = 2 with a remainder of 1).
• ➕Adding and Subtracting: Convert mixed numbers to improper fractions before adding or subtracting. Make sure the denominators are the same.

✍️ Practice Quiz

1. What is the improper fraction for $3\frac{1}{4}$?
1. $\frac{10}{4}$
2. $\frac{11}{4}$
3. $\frac{12}{4}$
4. $\frac{13}{4}$
2. What is the mixed number for $\frac{9}{2}$?
1. $4\frac{1}{2}$
2. $3\frac{1}{2}$
3. $5\frac{1}{2}$
4. $2\frac{1}{2}$
3. What is $1\frac{1}{3} + 2\frac{1}{3}$?
1. $3\frac{2}{3}$
2. $3\frac{1}{3}$
3. $4\frac{2}{3}$
4. $4\frac{1}{3}$
4. What is the improper fraction for $5\frac{2}{3}$?
1. $\frac{16}{3}$
2. $\frac{17}{3}$
3. $\frac{18}{3}$
4. $\frac{19}{3}$
5. What is the mixed number for $\frac{11}{4}$?
1. $2\frac{3}{4}$
2. $3\frac{3}{4}$
3. $1\frac{3}{4}$
4. $4\frac{3}{4}$
6. Solve: $2\frac{1}{2} - 1\frac{1}{2}$
1. 1
2. 2
3. 3
4. 4
7. What is $\frac{15}{4}$ as a mixed number?
1. $3\frac{3}{4}$
2. $2\frac{3}{4}$
3. $4\frac{1}{4}$
4. $1\frac{1}{4}$