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Multiplying Fractions by a Whole Number

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Grades 4–7MathInteractive · Printable
Aligned to4.NF.B.44.NF.B.4.A4.NF.B.4.B4.NF.B.4.C

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2 worksheet pages
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4 Common Core standards
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About this worksheet

Multiplying Fractions by a Whole Number is an engaging mathematics worksheet designed to help students practice and visualize the concept of multiplying fractions with whole numbers. This interactive and printable worksheet consists of four carefully crafted questions that progress from basic fraction multiplication to real-world application problems. The first two questions focus on finding the value of multiple groups of unit fractions, encouraging students to think about fractions in terms of repeated addition.

The worksheet then advances to more complex word problems involving everyday scenarios such as planning a birthday party and following a recipe. This interactive and printable worksheet not only reinforces mathematical concepts but also helps students see the practical applications of fraction multiplication in daily life. By requiring students to draw pictures to illustrate their answers, the worksheet promotes visual learning and deeper understanding of the mathematical processes involved. The clear layout and step-by-step approach make this resource suitable for both classroom use and independent practice, helping students build confidence in their fraction multiplication skills.

What will your child learn through this worksheet?

  • Understanding the concept of multiplying fractions by whole numbers
  • Visualizing fraction multiplication through drawing
  • Applying fraction multiplication to real-world scenarios
  • Developing problem-solving skills in the context of fractions

Learning Outcomes

Cognitive

  • Students will be able to multiply unit fractions by whole numbers with 90% accuracy by the end of the lesson
  • Learners will solve word problems involving fraction multiplication in real-life contexts with at least 80% success rate

Psychomotor

  • Students will create clear and accurate drawings to represent fraction multiplication problems for all four questions
  • Learners will improve their fine motor skills through precise drawing and writing in the provided spaces

Affective

  • Students will develop confidence in applying fraction multiplication to everyday situations
  • Learners will cultivate a positive attitude towards using visual representations in mathematics

Interpersonal/Social

  • Students will enhance their ability to explain their problem-solving process using both words and pictures
  • Learners will develop skills in discussing different approaches to solving fraction multiplication problems with peers

Tags

fractions, multiplication, whole numbers, word problems, visual representation, real-world application, problem-solving, mathematical reasoning

Written by Serena DinIllustrated by Sagar KumarPublished by Workybooks
Curriculum

Common Core standards covered

4.NF.B.4

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

4.NF.B.4.a

Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).

4.NF.B.4.b

Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)

4.NF.B.4.c

Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?

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