Multiply mixed numbers by whole numbers worksheets for grade 5 give students two ways to practice the same focused skill. Learners calculate and match simplified products before working backward to find missing whole-number factors.
The worksheets are best for students who already understand mixed numbers and improper fractions. After converting a mixed number, students multiply, change an improper product back into a mixed number, and simplify the remaining fraction.
Multiply Mixed Numbers by Whole Numbers Worksheets for Grade 5
The printable resource contains two approved student worksheets. The first page is a product-matching activity. The second page is a missing-factor challenge with separate spaces for working and checking.
The two activities approach multiplication from opposite directions. Students first calculate a product from known factors and then use a known product to determine a missing whole-number factor.
Need a simpler starting point? Students can first review the multiply fractions by whole numbers worksheets for Grade 4 before working with complete mixed numbers.
Match Mixed Numbers to Their Products
The matching worksheet includes eight lettered equations and eight numbered products. Students multiply each mixed number by a whole number, simplify the result, and draw a line to the correct product.
Some equations produce whole-number answers, while others produce mixed numbers. Students must check both the whole-number part and the fractional remainder before choosing a match.
Every equation has one unique answer. The open center of the page provides enough space for students to draw clear matching lines without crossing through the equations.
A Reliable Mixed Number Multiplication Routine
- Convert the mixed number: Rewrite the whole number and fraction as one improper fraction.
- Write the whole-number factor: Place it over one when this makes the multiplication clearer.
- Multiply: Multiply the numerators and denominators.
- Convert the product: Rewrite an improper result as a mixed number.
- Simplify: Reduce the fraction part when possible.
Review the conversion step: The mixed numbers and improper fractions worksheets for Grade 4 help students prepare for converting and simplifying their multiplication products.
Find the Missing Whole-Number Factor
The colorful challenge page presents eight equations with one missing whole-number factor. The starting mixed number and the final product are already provided.
Students can divide the product by the mixed number or test a possible factor and verify it through multiplication. The separate Work and Check areas encourage students to show both the reasoning and the final proof.
Every missing value is a whole number. This keeps the focus on reverse multiplication reasoning rather than introducing decimal or fractional factors.
Ways to Use These Two Worksheets
- Independent practice: Use the matching worksheet after teaching the standard multiplication procedure.
- Partner checking: Have students compare their converted improper fractions before matching the products.
- Extension activity: Use the missing-factor page with students ready to reason backward.
- Exit ticket: Select one missing-factor equation and require students to show the multiplication check.
Encourage Students to Show the Conversion
Ask students to record the improper fraction before multiplying. This makes it easier to see whether an incorrect answer came from the mixed-number conversion, the multiplication step, or the final simplification.
The matching worksheet works well for initial practice, while the missing-factor worksheet provides a more demanding follow-up for students who understand the basic procedure.