Fraction Quest Study Guide
Grade 4 Mathematics Fraction Operations
Fraction Mastery Study Guide
Equivalence • Fractions of a Set • Adding & Subtracting from a Whole • Multiplying Fractions
Name:
Date:
Score: ______ / 10
Key Rule Whole = Denominator / Denominator: \(1 = \frac{8}{8} = \frac{12}{12}\). Keep the denominator the same when adding or subtracting!
Page 1 of 2
1 Visual Equivalence
Look at the shaded model below. What fraction of the shape is shaded?
Find the equivalent fraction.
A. \(\frac{2}{6}\)
B. \(\frac{4}{8}\)
C. \(\frac{4}{6}\)
D. \(\frac{3}{4}\)
Show Work / Reasoning:
Answer: ______
2 Fractions of a Set
Maya has 15 colored markers in a box. She keeps 10 markers and gives 5 markers to her brother. What fraction of the markers did Maya give to her brother?
A. \(\frac{1}{3}\)
B. \(\frac{2}{3}\)
C. \(\frac{1}{5}\)
D. \(\frac{5}{10}\)
Show Work:
Answer: ______
3 Subtracting Parts from a Whole
Brianna drank \(\frac{5}{8}\) of a carton of milk during breakfast. Later, her brother Jordan drank \(\frac{1}{8}\) of the carton. How much of the milk carton was left?
A. \(\frac{5}{8}\) carton
B. \(\frac{3}{4}\) carton
C. \(\frac{1}{4}\) carton
D. \(\frac{7}{8}\) carton
Show Work:
Answer: ______
4 Multiplying Fractions by Whole Numbers
At a frozen yogurt shop, each sundae requires \(\frac{3}{4}\) cup of fresh strawberries. How many cups of strawberries are needed to prepare 6 sundaes?
A. \(\frac{18}{24}\)
B. \(4\frac{1}{2}\)
C. \(4\frac{3}{4}\)
D. \(3\frac{1}{2}\)
Show Work:
Answer: ______
5 Subtracting Parts of a Whole
Sam and Leo shared a whole 12-slice pizza. Sam ate \(\frac{4}{12}\) of the pizza, and Leo ate \(\frac{3}{12}\) of the pizza. How much of the pizza was left?
A. \(\frac{7}{12}\)
B. \(\frac{5}{12}\)
C. \(\frac{4}{12}\)
D. \(\frac{1}{12}\)
Show Work:
Answer: ______
Grade 4 Mathematics • Fraction Operations Review Turn page for Part 2 →
Fraction Mastery Study Guide • Part 2
Extended Practice & Open Response Workspace
Name: ______________________ Page 2 of 2
6 Visual Equivalence
Which fraction is equivalent to the shaded area of the model shown below?
Multiply top & bottom by 2.
A. \(\frac{3}{8}\)
B. \(\frac{6}{8}\)
C. \(\frac{6}{12}\)
D. \(\frac{4}{6}\)
Show Work:
Answer: ______
7 Multiplying Fractions
Each batch of blueberry muffins uses \(\frac{2}{3}\) cup of milk. Mrs. Davis bakes 8 batches of muffins for the school bake sale. How many cups of milk does she need in all?
A. \(5\frac{1}{3}\)
B. \(4\frac{2}{3}\)
C. \(\frac{16}{24}\)
D. \(5\frac{2}{3}\)
Show Work:
Answer: ______
8 Fractions of a Set
Coach Carter brought 16 tennis balls to practice. He placed 12 in the ball cart and gave 4 to the team captains. What fraction of the tennis balls did he give to the captains?
A. \(\frac{3}{4}\)
B. \(\frac{1}{2}\)
C. \(\frac{1}{4}\)
D. \(\frac{4}{12}\)
Show Work:
Answer: ______
9 Subtracting Parts from a Whole
Andre painted \(\frac{2}{10}\) of a mural on Monday and \(\frac{5}{10}\) of the mural on Tuesday. What fraction of the mural still needs to be painted?
A. \(\frac{7}{10}\)
B. \(\frac{3}{10}\)
C. \(\frac{4}{10}\)
D. \(\frac{1}{5}\)
Show Work:
Answer: ______
10 Multi-Step Challenge • Gridded Response
Constructed Response
Emma bought 1 full yard of decorative ribbon. She used \(\frac{2}{8}\) yard to wrap a gift and \(\frac{3}{8}\) yard to make hair bows.
Part A: What total fraction of ribbon did Emma use?
Total used: _________________
Part B: What fraction of the yard of ribbon was left?
Ribbon left: _________________
Grade 4 Mathematics • Fraction Review & Assessment Prep End of Review
Fraction Quest Answer Key
Teacher Reference Answer Key & Explanations
Fraction Mastery Answer Key
Detailed Solutions & Brief Explanations for Questions 1 – 5
Grading Guide 10 pts each / 100 total
Question 1 Correct Answer: C. \(\frac{4}{6}\)
Topic: Equivalent Fractions
Step-by-Step Explanation: The visual model has 3 equal parts with 2 parts shaded, which represents the fraction \(\frac{2}{3}\). To find an equivalent fraction, multiply both the numerator and the denominator by the same non-zero whole number: \(\frac{2 \times 2}{3 \times 2} = \frac{4}{6}\).
Watch For: Students choosing A (\(\frac{2}{6}\)) often count the 2 shaded parts but incorrectly use 6 from the options without scaling both terms.
Question 2 Correct Answer: A. \(\frac{1}{3}\)
Topic: Fractions of a Set
Step-by-Step Explanation: Maya gave 5 markers out of a total of 15 markers, giving the fraction of a set as \(\frac{5}{15}\). Simplify by dividing the numerator and denominator by their greatest common factor (5): \(\frac{5 \div 5}{15 \div 5} = \frac{1}{3}\).
Watch For: Choice B (\(\frac{2}{3}\) or \(\frac{10}{15}\)) represents the fraction Maya kept. Students must carefully identify the question's specific target.
Question 3 Correct Answer: C. \(\frac{1}{4}\) carton
Topic: Subtracting from a Whole
Step-by-Step Explanation: Find total drank: \(\frac{5}{8} + \frac{1}{8} = \frac{6}{8}\). The full carton is 1 whole, or \(\frac{8}{8}\). Subtract the consumed amount from the whole: \(\frac{8}{8} - \frac{6}{8} = \frac{2}{8}\). Simplify \(\frac{2}{8}\) by dividing numerator and denominator by 2 to get \(\frac{1}{4}\) carton.
Watch For: Students who calculate \(\frac{2}{8}\) and do not recognize \(\frac{1}{4}\) as its equivalent simplest form, or students who only subtract one child's drink.
Question 4 Correct Answer: B. \(4\frac{1}{2}\)
Topic: Multiplying Fractions
Step-by-Step Explanation: Multiply the whole number by the numerator: \(6 \times \frac{3}{4} = \frac{6 \times 3}{4} = \frac{18}{4}\). Convert this improper fraction into a mixed number by dividing: \(18 \div 4 = 4\) with a remainder of 2, giving \(4\frac{2}{4}\). Simplify \(\frac{2}{4}\) to \(\frac{1}{2}\), yielding \(4\frac{1}{2}\) cups.
Watch For: Choice A (\(\frac{18}{24}\)) occurs when a student multiplies both the numerator and denominator by 6 instead of treating 6 as \(\frac{6}{1}\).
Question 5 Correct Answer: B. \(\frac{5}{12}\)
Topic: Subtracting from a Whole
