How To Divide A Whole Number By A Decimal

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How To Divide A Whole Number By A Decimal

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How To Teach Dividing Decimals

When you divide whole numbers by fractions, you can find how many groups of fractions fit into the whole. A common way to divide a whole number by a fraction is to multiply the whole number by the multiple of the fraction. You can also draw a diagram to help visualize the process.

This article was written by staff. Our professional team of editors and researchers ensure articles are accurate and understandable. The content management team monitors the work of our editorial staff to ensure that each article is backed by reliable research and meets our high standards. This article has been viewed 235,882 times.

To divide a whole number by a fraction, divide the whole number by putting 1 in the denominator. Then, reverse the numerator and denominator of the fraction by which you divided the whole number. Multiply this new fraction by the whole number. To do this, multiply both numbers, then both denominators. If you want, simplify the new result. Read on to learn how to divide a whole number into fractions by drawing a diagram! We use cookies to do the best. By using our site, you agree to our cookies policy. Cookie settings

This article was written by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently an instructor of mathematics at the City College of San Francisco and was previously in the mathematics department at the University of St. He has taught mathematics at the elementary, middle, high school, and college levels. He holds an MA in Education with a degree in Administration and Management from Saint Louis University.

How To Divide Decimals (video & Practice Questions)

There are 9 references mentioned in this article, which can be found at the bottom of the page.

Dividing by decimal numbers may seem difficult at first. After all, no one taught “0.7 times tables”. The secret is to change the division problem to a format that uses only whole numbers. Once you rewrite the problem this way, it becomes a long division problem.

This article was written by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently an instructor of mathematics at the City College of San Francisco and was previously in the mathematics department at the University of St. He has taught mathematics at the elementary, middle, high school, and college levels. He holds an MA in Education with a degree in Administration and Management from Saint Louis University. This article has been viewed 295,469 times.

To divide a whole number by a decimal, write the problem of dividing both numbers represented as a decimal by the same number to the right of the decimal point. For example, you can write 3.0 divided by 1.2 in one place. Then, move the decimal places to the right until you have 2 whole numbers. In this case, you will have 30 parts of 12. Solve this problem as a partial number to get your final answer, which in this example will be 2.5. Remember to include any decimal places in your answer. If you want to learn how to work on the long division problem, read on! On this page, we have a list of free printable worksheets to help your child learn to divide fractions by whole numbers, or whole numbers.

Dividing Whole Number By A Decimal

We even have a calculator that will not only give you the answer, but show you all the work you need to do along the way!

On this page, you’ll learn how to divide a fraction by a whole number, along with other worksheets designed to help your child master this skill.

The pages are sorted so that the easiest pages come first, and the most difficult pages last.

Before your child can divide fractions, they need to be confident in multiplying fractions, turning mixed fractions into improper fractions, and taking fractions into simple fractions.

Dividing A Whole Number By A Fraction Worksheet

The calculator will help you divide fractions by whole numbers, or other fractions or mixed numbers.

The best thing about the calculator is that it shows you how to do everything along the way.

If any fractions are mixed fractions (or mixed numbers), then convert them to improper fractions first.

Change the numerator and denominator of the fraction (the fraction after the ÷ sign) and change the operator to ‘x’ instead of ‘÷’.

Dividing Decimals (easy How To W/ 15 Examples!)

Multiply the numerators of the fractions together, and multiply the denominators of the fractions together. It will give you the answer.

You may want to convert the fraction to its simple form or convert it to a mixed fraction (if it is an improper fraction).

Use these worksheets to practice dividing whole numbers by fractions and dividing fractions by whole numbers.

Here you will find a selection of fractions worksheets designed to help your child understand how to convert improper fractions to mixed numbers.

Divide Proper Fractions By Whole Numbers

Here you will find a selection of fractions worksheets designed to help your child understand how to convert fractions in simple ways.

At the end of the quiz, you will have the opportunity to see your results by clicking on ‘See Score’.

This will take you to a new web page where your results will be displayed. You can print a copy of your result from this page, either as a pdf or as a hard copy.

For incorrect answers, we’ve added helpful study notes to explain which answer is correct and why.

Solved Intervention Lesson H87 Name Divide Unit Fractions By

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Dividing Unit Fractions By Whole Numbers With Visual Models

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Dividing Decimals By Whole Numbers

If you are a regular user of our site and appreciate what we do, please consider making a small donation to help with our costs. Welcome to this free step-by-step guide to dividing fractions. This guide will teach you a simple three-step method called Keep-Change-Flip to easily divide fractions by fractions (and fractions by whole numbers).

Below you will find several examples of how to divide fractions using the Keep-Change-Flip method, and an explanation of why this method works for any math problem that involves dividing fractions. Plus, this free guide includes an animated video lesson and a free worksheet with answers!

Before you learn how to divide fractions using the Keep-Change-Flip method, you need to make sure you understand how to multiply fractions together (which is easier than dividing!).

Multiplying fractions is usually taught before dividing fractions, so you already know how to multiply two fractions together. If this is the case, you can skip to the next section.

Remember How To Divide Fractions?

Rule for multiplying fractions: Whenever you multiply fractions together, multiply the numerators together, then multiply the denominator next…

Now that you know how to multiply fractions, you’re ready to learn how to divide fractions using the simple 3-step Save-Transfer-Flip method.

To solve this example (and any problem where you need to divide fractions, we’ll use the Save-Swap-Flip method)

If we think of 1/2 ÷ 1/4 as a question: how many 1/4s are in 1/2?

Multiply And Divide Decimals By Whole Numbers Worksheet

And then if we visualize 1/4 and 1/2, we can clearly see that 1/2 has 2 1/4s, that’s why the final answer is 2.

Similar to Example 01, you can solve this problem by using the Save Flip method as follows:

What if you could divide a fraction by a whole number? It turns out that the process is the same as the previous example!

Note that, in this example,

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