Grade 4 Math Practice Test: Mixed Numbers and Improper Fractions
- Mixed Numbers and Improper Fractions
- 10 questions
- 12 minutes
These 10 questions practice writing fractions greater than 1 as mixed numbers, and mixed numbers as fractions. Tip: to change 2 1/3 into thirds, multiply 2 × 3 = 6 thirds and add 1 more third.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
Your result
- 0 correct
- 0 wrong
- 0 blank
-
Question 1
Which mixed number is equal to 74?
Correct answer: C
7 fourths is 4 fourths (1 whole) plus 3 fourths, so 7/4 = 1 3/4. 1 1/4 is only 5/4.
-
Question 2
Which fraction is equal to 2 13?
Correct answer: D
2 wholes are 6 thirds, and 6 + 1 = 7 thirds, so 2 1/3 = 7/3. 6/3 forgets the extra third.
-
Question 3
Which shows a correct way to decompose 58?
Correct answer: D
1/8 + 2/8 + 2/8 = 5/8 because 1 + 2 + 2 = 5 eighths. The other sums are 6/8, 4/8 and 6/8.
-
Question 4
Which fraction is equal to 3 25?
Correct answer: C
3 wholes are 15 fifths, and 15 + 2 = 17 fifths, so 3 2/5 = 17/5. 15/5 leaves out the 2/5.
-
Question 5
Which mixed number is equal to 113?
Correct answer: B
11 ÷ 3 = 3 with 2 left over, so 11/3 = 3 2/3. 3 1/3 would be 10/3.
-
Question 6
Which expression is equal to 2 34?
Correct answer: B
2 3/4 means 2 wholes and 3 fourths, and 1 + 1 + 3/4 shows exactly that. 2 + 1/4 + 1/4 is only 2 2/4.
-
Question 7
Ella uses 92 cups of flour for a large batch of bread. Which mixed number names the same amount?
Correct answer: C
9 halves = 8 halves + 1 half = 4 wholes + 1/2, so 9/2 = 4 1/2 cups. 5 1/2 would be 11/2.
-
Question 8
Which fraction is between 2 and 3 on a number line?
Correct answer: A
2 = 6/3 and 3 = 9/3, so a fraction between them must be more than 6/3 and less than 9/3. 7/3 works. 6/3 is exactly 2, not between 2 and 3.
-
Question 9
Which is greater, 134 or 3 12?
Correct answer: B
13/4 = 3 1/4, and 3 1/2 is more than 3 1/4. A bigger top number does not by itself make 13/4 greater, and 3 1/2 is 14/4, not 6/4.
-
Question 10
How many fourths are in 2 14?
Correct answer: A
Each whole has 4 fourths, so 2 wholes have 8 fourths. Add 1 more fourth: 9 fourths. 8 forgets the extra 1/4.
Questions you leave blank are not counted as wrong.
More Math tests
MathGrade 4 Math Practice Test: Adding and Subtracting Mixed NumbersAdding and Subtracting Mixed Numbers10 questions12 min MathGrade 4 Math Practice Test: FractionsFractions12 questions15 minMathGrade 4 Math Practice Test: Multi-Digit Multiplication and DivisionMulti-Digit Multiplication and Division12 questions15 minMathGrade 4 Math Practice Test: Angles, Lines and MeasurementAngles, Lines and Measurement12 questions15 minMathGrade 4 Math Practice Test: Place Value, Rounding, Factors and MultiplesPlace Value, Rounding, Factors and Multiples15 questions18 minMathGrade 4 Math Practice Test: Division with RemaindersDivision with Remainders10 questions12 minMathGrade 4 Math Practice Test: Decimals to HundredthsDecimals to Hundredths10 questions12 min