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Multiplying Fractions by Whole Numbers

4.NF.4
Answer Keys Here

Aligned To Common Core Standard:

Grade 4 Fractions - 4.NF.4

How to Multiply Fractions by a Whole Number - Fractions are their very own subset of topics in mathematics. Understanding the anatomy and operations of fractions can help you learn a lot about solving these quickly. After you get a grip on addition and subtraction of fraction, it's time to now focus on the multiplication of the fractions. In an equation where you are required to multiply fractions with a whole number, there are a few steps that you can follow to make your multiplication operation easy. Follow these steps to solve quickly. Consider rewriting the whole number as a fraction. For example; 4 x 2/5 - Rewrite 4 in fraction like 4/1, this makes this equation: 4/1 x 2/5 - Now multiply the digits above and below the line i.e. the denominators and numerators to get your answer. You now have your answer in fractions form which in this case is: 8/5 There is a high chance that you will get your answer in an improper fraction, simplify or reduce the fraction to its lowest form. But in many cases, you can get a mixed number answer too. A collective of worksheets and lessons that help students learn how to multiple fractions with whole numbers.

Printable Worksheets And Lessons






Homework Sheets

If we get students in the habit of making whole into a top-heavy fraction, this skill is mastered with ease.

  • Homework 1 - Find the final value of the following problem.
  • Homework 2- We write 10 as an improper fraction.
  • Homework 3- Find the final value of the following problem.



Practice Worksheets

You will notice that in the homework, I always listed the fraction and then the whole number. I mix the ordering up in here.

  • Practice 1 - Some larger numbers are available here.
  • Practice 2 - Multiple your values to find the exact science for yourself.
  • Practice 3 - You can always put the whole number over one, if that helps you visualize it better.



Math Skill Quizzes

The quizzes also mix the order of the whole numbers and fractions. The boxes make it a little easier to work with.

  • Quiz 1 - Remember to just focus on the numerator and treat the whole number like it is one over itself.
  • Quiz 2 - The values here increase greatly. You will need to work a few double digit values.
  • Quiz 3 - We heightened the values of the whole numbers on these to see where you stand.


When Will You Need to Multiply Fraction by Whole Numbers in Everyday Life?

When we are learning a new math skill it really helps to motivate students if they can understand that it is something that is useful for them long term. In a typical day the average adult will use this calculation once or twice a day. If they work in certain professions, it would be much more commonly used. Food lends itself to this skill because recipes often call for the use of fractional measurements. If you would like to increase or reduce the amount of food the recipe will make, you will need to use this skill. Builders, from homes to model airplanes, of just about anything you can think of constantly use this skill when shaping their creations. They are often concerned about measures of length, which in the U.S. measurement standards is often found in fractional forms. Scientists often work with many fractional forms and ratio based equations which this skill easily lends itself to. As you can see just about any measure that is a fraction based or ratio type of form lends itself to this skill. You would be surprised how often this shows up for you ponder in the average day of an adult.