5th Grade Multiplying Fractions and Mixed Numbers Quiz: 10 Questions with Explanations Home 5th Grade Math Worksheets, Lessons and Tests (Free PDF) 5th Grade Multiplying Fractions and Mixed Numbers Quiz: 10 Questions with Explanations
Answer these 10 multiple-choice questions about multiplying fractions and mixed numbers. Each question has one correct answer. Use scratch paper to multiply and simplify, then read the explanation after each answer.
Grade 5 · Common Core State Standards: 5.NF.B.4a, 5.NF.B.6
Question 1 The model shows the product of two fractions. What is the product?
3/4 2/3 Blue columns, orange rows, and green overlap. A \(\frac{5}{7}\)B \(\frac{1}{12}\)C \(\frac{1}{2}\)D \(\frac{3}{4}\)The overlap has 6 of 12 squares: 6/12 = 1/2. Adding the fractions would give a number greater than 1, not 5/7.
Question 2 Find \(4 \times \frac{2}{3}\).
A \(\frac{8}{12}\)B \(2\frac{2}{3}\)C \(4\frac{2}{3}\)D \(\frac{2}{12}\)Write 4 as 4/1: 8/3 = 2 2/3. A common mistake is to multiply the denominator by 4 as well.
Question 3 Find \(\frac{3}{5} \times \frac{5}{6}\).
A \(\frac{1}{2}\)B \(\frac{8}{11}\)C \(\frac{18}{25}\)D \(\frac{3}{5}\)3 x 5 = 15 and 5 x 6 = 30, so the product is 15/30 = 1/2. Adding numerators and denominators gives 8/11, which is wrong.
Question 4 The tape diagram shows 20 cut into 5 equal parts with 2 parts shaded. What is \(\frac{2}{5}\) of 20?
20 Twenty cut into 5 equal parts, 2 parts shaded. A 50B 4C 12D 8Each part is 20 / 5 = 4. Two parts make 8. Saying 50 comes from multiplying 20 by 5/2, which is the wrong direction.
Question 5 Find \(1\frac{1}{2} \times 2\).
A \(2\frac{1}{2}\)B 3C \(3\frac{1}{2}\)D 43/2 x 2 = 6/2 = 3. Multiplying only the whole part gives 2 1/2.
Question 6 Find \(2\frac{1}{3} \times 1\frac{1}{2}\).
A \(2\frac{1}{6}\)B \(3\frac{5}{6}\)C \(4\frac{1}{2}\)D \(3\frac{1}{2}\)7/3 x 3/2 = 21/6 = 3 1/2. Multiplying wholes and fractions separately gives 2 1/6, which is wrong.
Question 7 A recipe needs \(\frac{3}{4}\) cup of milk. Maya makes \(\frac{2}{3}\) of the recipe. How much milk does she use?
A \(\frac{1}{2}\) cupB \(\frac{1}{12}\) cupC \(\frac{17}{12}\) cupD \(\frac{5}{12}\) cup3/4 x 2/3 = 6/12 = 1/2. Adding the fractions gives 17/12, and subtracting gives 1/12.
Question 8 What is the area of this rectangle?
2 1/4 ft 1 1/2 ft A rectangle. A \(3\frac{3}{4}\) square feetB \(2\frac{3}{8}\) square feetC \(3\frac{3}{8}\) square feetD \(3\frac{1}{8}\) square feet9/4 x 3/2 = 27/8 = 3 3/8. Adding the sides gives 3 3/4, which is not the area.
Question 9 Which number is the same as \(\frac{3}{4}\) of 12?
A 16B 9C 3D 1512 / 4 = 3, and 3 x 3 = 9. Dividing 12 by 3/4 gives 16, which is the wrong operation.
Question 10 Ethan has 18 stickers. The tape diagram shows 5 of the 6 equal groups shaded as space stickers. How many space stickers does he have?
18 Eighteen stickers in 6 equal groups, 5 groups shaded. A 15B 3C 12D 90Each group has 18 / 6 = 3 stickers. Five groups make 15.
Remember
A fraction of a number means fraction times that number.
Fraction times fraction: multiply numerators, multiply denominators, then simplify.
Write a whole number as a fraction over 1 before multiplying.
Change mixed numbers to improper fractions, multiply, then write the answer as a mixed number.
An area model shows the product as the overlap of shaded parts.
All Grade 5 chapters: Grade 5 math .
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