Multiplying Fractions by Whole Numbers Worksheets
This is a very practical skill that you may not appreciate as a student, but as an adult this a critical skill to have by anyone who owns a home. If you cook anything from scratch in your life, this will be a big one for you two. Have you ever wanted to make more or less of a standard set recipe? When multiplying a fraction by a whole number, we want to remind students that whole numbers can be written as fractions by simply by making their value the numerator and writing one as the denominator. From there you multiply numerators by each other and the same is done to the denominators. A collective of worksheets and lessons that help students learn how to multiple fractions with whole numbers.
Aligned Standard: Grade 4 Fractions - 4.NF.4
- Products of Uncommon Fractions Step-by-Step Lesson - Multiply a whole number and a slightly unique fraction.
- Guided Lesson - Three problems that pick right up where the lesson left off.
- Guided Lesson Explanation - This is the process of fraction multiplication in sequence.
- Practice Worksheet - Very straightforward, a fraction-whole number product.
- Practice Worksheet 2 - So nice, we did it twice. Remember to show your final answer in a reduced form.
- Matching Worksheet - Match the models to the products that they will form.
- Answer Keys - These are for all the unlocked materials above.
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.
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.
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 the addition and subtraction operations with fractions, it's time to 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 the line (numerators) with each other and do the same with the digits below the line (denominators). This will have the product of the numerators on top and the product of the denominators on the bottom. 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. In those cases, just simplify or reduce the fraction to its lowest form. But in many cases, you can get a mixed number answer too.
When Will You Need to Multiply a 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.