5th Grade Fractions as Division Quiz: 10 Questions with Explanations Home 5th Grade Math Worksheets, Lessons and Tests (Free PDF) 5th Grade Fractions as Division Quiz: 10 Questions with Explanations
Answer these 10 multiple-choice questions about fractions as division. Each question has one correct answer. Think about which number is shared and how many groups share it, then read the explanation after each answer.
Grade 5 · Common Core State Standards: 5.NF.B.3
Question 1 Five kids share 2 pans of brownies equally. How much of a pan does each kid get?
bar 1 bar 2 Two pans of brownies, each cut into 5 equal pieces. A \(\frac{5}{2}\) pansB \(\frac{1}{5}\) of a panC \(\frac{2}{7}\) of a panD \(\frac{2}{5}\) of a pan2 pans shared by 5 kids is 2 divided by 5, which is 2/5. Switching the numbers gives 5/2, which is greater than 1.
Question 2 Which fraction is equal to \(5 \div 6\)?
A \(\frac{6}{5}\)B \(\frac{5}{6}\)C \(\frac{1}{6}\)D \(\frac{5}{11}\)The number being divided is the numerator, so 5 divided by 6 is 5/6.
Question 3 Which division problem is equal to \(\frac{3}{8}\)?
A \(3 \div 8\)B \(8 \div 3\)C \(3 \times 8\)D \(8 - 3\)A fraction bar means division: the numerator is divided by the denominator.
Question 4 Write \(9 \div 4\) as a mixed number.
A \(2\frac{4}{9}\)B \(2\frac{1}{4}\)C \(1\frac{1}{4}\)D \(4\frac{1}{2}\)9 divided by 4 is 2 with remainder 1, so the mixed number is 2 1/4. Putting the divisor over the remainder gives the wrong fraction.
Question 5 The point on the number line shows the quotient of two whole numbers. Which division problem does it show?
0 1/4 1/2 3/4 1 5/4 3/2 7/4 2 9/4 5/2 11/4 3 The point shows a quotient. A \(4 \div 7\)B \(3 \div 4\)C \(7 \div 4\)D \(7 \times 4\)The point is 7 fourths from 0, so it is 7/4 = 7 divided by 4. It lies between 1 and 2.
Question 6 A 13-foot rope is cut into 5 equal pieces. How long is each piece?
? ? ? ? ? 13 ft A rope cut into 5 equal pieces. A \(2\frac{3}{13}\) feetB \(2\frac{2}{5}\) feetC \(\frac{5}{13}\) footD \(2\frac{3}{5}\) feet13 divided by 5 is 2 remainder 3, so each piece is 2 3/5 feet. The remainder goes over the divisor 5.
Question 7 Three pounds of grapes are shared equally by 12 kids. How many pounds does each kid get?
A \(\frac{1}{4}\) poundB 4 poundsC \(\frac{1}{3}\) poundD \(\frac{3}{4}\) pound3 divided by 12 is 3/12, which simplifies to 1/4. Dividing 12 by 3 would give 4, which is the wrong direction.
Question 8 Which quotient is greatest?
A \(7 \div 3\)B \(5 \div 2\)C \(9 \div 4\)D \(11 \div 5\)5/2 = 2 1/2, 7/3 = 2 1/3, 9/4 = 2 1/4, and 11/5 = 2 1/5. The greatest fraction part is 1/2.
Question 9 A 17-foot rope is cut into 3 equal pieces. How long is each piece?
A \(5\frac{1}{3}\) feetB \(3\frac{2}{3}\) feetC \(5\frac{2}{3}\) feetD \(\frac{3}{17}\) foot17 divided by 3 is 5 remainder 2, so each piece is 5 2/3 feet.
Question 10 Two people share 5 granola bars equally. How many bars does each person get?
Person 1 Person 2 Five squares shared by 2 people. A \(2\frac{1}{2}\) barsB \(\frac{2}{5}\) barC \(2\frac{1}{5}\) barsD 5 bars5 divided by 2 is 2 remainder 1, so each person gets 2 bars and half of the last bar.
Remember
The fraction a/b means a divided by b.
The numerator is the amount shared. The denominator is the number of equal groups.
If a is less than b, the quotient is less than 1.
If a is greater than b, write the quotient as a mixed number: whole part plus remainder over divisor.
Check with a picture or a number line.
All Grade 5 chapters: Grade 5 math .
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