These worksheets will teach your students how to multiply decimals by converting them into fractions.

Home > Math Worksheets > Fractions > Comparing Fraction And Decimal Multiplication

This is really a two-part math skill. Students will first need to convert decimal values to fractions. If you focus on place value, this is a cinch. You start by making the denominator of your fraction, the place value that has the last non-zero digit to the right is what you are focused on looking for. For example, if the last non-zero digit to the right is found in the hundredths place, the denominator of your fraction would be one-hundred. From there it is pretty straight forward, just multiple the numerators together followed by the denominators.

How do you compare decimals and fractions when multiplying? Fractions are sometimes compared to determine which one is larger or smaller. There are two methods to do this. One uses decimals while the other uses the same denominator. Let's look at the decimal method of comparing fractions first. In this method, the fractions are first converted into decimals and then compared. For instance, consider the following two fractions: Which one is bigger: 3/8 or 5/12? We will convert each fraction into its decimal form:3/8 = 0.375 and 5/12 = 0.4166. Now, we can tell that 5/12 is bigger. Another method is the same denominator method. The denominator is the number that is the bottom number of any fraction. It represents the number of equal parts that an item is divided into. Fractions that have the same denominators are relatively easy to compare. For instance, 1/5 is less than 3/5 because 1 is lesser than 3. In case the denominator is not the same in two or more fractions, we can make them the same by multiplication. Let's look at an example. Which is bigger: 3/8 or 5/12? Look for a number that will give the same denominators after getting multiplied with the current denominators. Here, we can do this: Multiply 8 by 3 to get 24, And multiply 12 by 2 to get 24. Remember, what you do at the bottom has to be done at the top too. So, you get: 3x3 / 8x3 = 9/24 and 5x2/12x2 = 10/24. Now, it is clear that 10/24 is bigger than 9/24 because 9 is smaller than 10. These worksheets explains how to convert decimals to fractions to solve a problem. Answers are to be reduced appropriately, and may be in decimal or fractional form.



Get Free Worksheets In Your Inbox!

Print Comparing Fraction And Decimal Multiplication Worksheets

Click the buttons to print each worksheet and associated answer key.

Comparing Fraction And Decimal Multiplication Lesson

Decimals are just fractions with denominators of 10, 100, 1,000, and so on. Multiply decimals as if there were no decimal points. Multiply the numerator with the numerator and denominator with the denominator.

Print Now!

Practice: Decimals to Fraction Multiplication

Here we get 30 in numerator and 1,000 in denominator. So apply a decimal by counting three places from right side.

Print

Practice Worksheet

Proper place for the decimal will be found by counting the number of zeros in the denominator.

Print

Show a Decimal Product as Fraction Multiplication Practice

Another practice worksheet for students at this level.

Print

Comparing Fraction And Decimal Products Worksheet

Write each decimal multiplication problem by using fractions and solve them.

Print

Skill Warm Up

Students will convert the decimal multiplication problems to fractions and then solve them. Three problems are provided.

Print

One Last Word One This Skill

Fractions and decimals are the two different ways to communicate sums that are not exactly an entire number. Here are the means by which to change over a portion into a decimal with the goal that you would then be able to think about two numbers. Look at two different types of candy: a chocolate bar and a piece of gum. Name everything these treats share for all intents and purposes. You will probably decide that they are both little, sweet, and heavenly! It was anything but difficult to think about the candy. It is somewhat trickier than working with candy bars. Even though portions and decimal numbers can both be utilized to speak to similar numbers, they don't appear to be identical. Along these lines, before we can look at them, the two of them should be designed in a similar way. The most straightforward approach to do this is to change over the part to a decimal. We should investigate how to do this. While changing over a part to a decimal, it implies you change it from a division to a decimal number. This change expects you to utilize your long division abilities. Basically, separate the numerator by the denominator to get a decimal number.