# How to multiply a fraction and a whole number

By | 23.06.2021 Multiplying fractions and whole numbers - Fractions

Now multiply the two denominators (the bottom number in a fraction). When you're multiplying a fraction with a whole number, this will be easy because you're just multiplying by 1. 8 x 1 = 8. Add it to our answer to get: 18/8. Mar 23,  · Welcome to this free lesson guide where you will learn and easy two-step process for multiplying fractions by whole numbers AND multiplying whole numbers by fractions. This complete guide to multiplying fractions by whole numbers includes several examples, an animated video mini-lesson, and a free worksheet and answer key. Let’s get started!Estimated Reading Time: 3 mins.

This article was co-authored by Grace What allstar weekend looks for in a girl, MA. Grace Imson is a math teacher with over 40 years of teaching experience. She has taught math at the elementary, middle, high school, and college levels. This article has been viewed 1, times. It's easy to multiply fractions by mixed fractions what is methodologies in research whole numbers.

Start by turning your mixed fractions or whole numbers into improper fractions. Then multiply the numerators of both improper fractions. Multiply the denominators and simplify your result. To multiply a fraction by a whole number, first rewrite the whole number as a fraction by putting it over a 1.

You would start by rewriting 5 as a fraction. Next you need to multiply the numerators, or top numbers, of the fractions together. In our example, 5 and 8 are the numerators, so you would multiply 5 by 8 and get Now do the same thing with the denominators, or bottom numbers, of the fractions.

One and 10 are the denominators, so you would multiply 1 by 10 and get If you can, simplify the fraction to the lowest terms. To learn how to multiply a normal fraction with a whole number, scroll down! Did this summary help you? Yes No. Log in Social login does not work in incognito and private browsers. Please log in with your username or email to continue. No account yet?

Practice Problems. Tips and Warnings. Related Articles. Article Summary. Method 1 of Convert the mixed fractions to improper fractions.

To change 1 of the mixed fractions, multiply the denominator by the whole number. Then add the numerator. Place the result over the line and leave the denominator as-is.

Repeat this for the other mixed fraction. Multiply the numerators of the improper fractions. Now that you have 2 improper fractions and no whole numbers in the equation, multiply the numerators together. Write the result and place a line below it. Multiply the denominators of the improper fractions. Multiply the numbers below the line and write the result under your numerator. Turn the answer into a mixed fraction if possible. If the numerator of your result is larger than the denominator, see how many times the denominator will go into the numerator.

Then leave put the remainder over the denominator to give you a mixed fraction. You'll get 6 with 12 left over. Place 12 over the denominator Most instructors will want you to put the answer in the same how to make money off google adsense as the question.

So if you started how to make pictures color and black and white mixed fractions, convert your answer to a mixed fraction. Simplify further if possible. You'll probably end up with a whole number and a fraction. Look at the fraction and see if you can simplify it.

Method 2 of Rewrite the whole number as a fraction. To rewrite a whole number as a fraction, simply place the whole number over 1. This will make an improper fraction. Multiply the numerators of the two fractions. Remember that the numerators are the numbers above the lines. Multiply the denominators of the two fractions. Now you can multiply the numbers below the lines to get your denominator.

You should now have an answer to your equation that's in fraction form. Reduce the answer if possible. Because your answer will probably be an improper fraction, simplify how to make custom lego clone helmets answer to its lowest terms.

Divide the numerator by the denominator to get a simplified result. In many cases, you'll get a mixed number since the answer will have a remainder. Change the mixed number to an improper fraction, then multiply numerator by numerator and denominator by denominator. Simplify the answer if possible, and change it back to a mixed number if you like. Not Helpful 90 Helpful The reason is that it's 4 wholes. The numerators, which are 4 and 2, will be multiplied to make 8. To find the denominator of the answer, take the denominators of the question, 1 and 3, and multiply those together.

Not Helpful Helpful Because what is the weather like in little rock arkansas is improper, you have to make this into a mixed number. To fix this, you have to divide 7 by 5. The answer is 1 with a remainder of 2. This is as simple as it gets. Once you convert a number into a fraction, multiply all the numbers on the top to find the numerator and then all the numbers of the bottom to find the denominator.

How would I multiply a whole number by a mixed number? You have two options. If you want to follow this guide, you will first need to change the mixed number into an improper fractionthen follow the process outlined in the guide.

Alternately, you can convert the mixed number into a decimal number, then multiply. To do that, just convert the fraction part of the mixed number into a decimal and add it to the whole number.

Karianna Wood. You can do it in any order, but it may be easiest to multiply the fractions together first, then multiply that product by the whole number.

To multiply the fractions together, you just need to follow the process outlined in this guide starting from Step 2. You turn the whole number into a fraction by putting the whole number as the numerator and one as the denominator.

Then you multiply straight across the top and straight across the bottom. Reduce if needed. Not Helpful 97 Helpful It doesn't matter which number is larger. The process is the same. Not Helpful 81 Helpful Convert the whole number and fraction to an improper fraction by multiplying the whole number by the bottom number in the fraction, and adding it to the top number. Multiply the fractions like usual, top numbers together, and bottom numbers together. Not Helpful 83 Helpful Not Helpful 78 Helpful Include your email address to get a message when this question is answered.

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How to multiply fractions with whole numbers

What is a whole number. You've encountered lots of whole numbers before now. Whole numbers are numbers that aren't fractions—they are integers. For example, 2, 1 2 2, 12 2, 1 2, and 5 0 50 5 0 would all be whole numbers. On the other hand, numbers that aren't whole numbers would look something like 1. 2 5 1. 2 5 or 4 5 \frac{4}{5} 5 odishahaalchaal.comgh a fraction is a rational number, it is. Note: Multiplying a whole number and a fraction can be confusing, but this tutorial helps to sort things out. Check it out!

You've encountered lots of whole numbers before now. Whole numbers are numbers that aren't fractions—they are integers. For example, 2 , 1 2 2, 12 2 , 1 2 , and 5 0 50 5 0 would all be whole numbers. On the other hand, numbers that aren't whole numbers would look something like 1.

Although a fraction is a rational number , it is not a whole number. Knowing the difference will be important in this lesson. When you're given a question that requires you to deal with multiplying fractions with whole numbers, there's 4 4 4 main steps you'll have to carry out.

Firstly, rewrite the question so that the whole number is turned into a fraction. As you probably already know, when you have a whole number, turning it into a fraction just requires you to put it over 1 1 1.

Secondly, multiply the two numerators in the two respective fractions. This just means taking the two numbers on top of each of the fractions and then multiplying them with one another. For the third step, do the same as step two but now you're using the two numbers in the denominators in the fractions. You'll end up with a new fraction after doing steps two and three! Lastly, you'll just have to simplify the fraction you've gotten after solving the problem.

You have to show your answer in the lowest terms possible, or you may get marks deducted for not having completely finished the question.

Let's take a look at some examples and put the four steps into use to help you with multiplying fractions and whole numbers. First, we can express 2 2 2 as a fraction:. Then we'll get our final number, which is a new fraction. How many slices of pizza were eaten during the party? Let's express 1 2 12 1 2 as a fraction. Now, do the multiplication. We've got 9 9 9 as the final answer. If you're ever unsure about your answer in questions involving the multiplication of whole numbers and fractions, use this calculator to help you double check your work.

Good lessons to review and move forward with to help you understand this lesson better includes finding common factors , comparing rational numbers , and solving problems with rational numbers in fraction form. These will eventually lead you into the more advanced problems of solving two-step linear equations. Back to Course Index. You can still navigate around the site and check out our free content, but some functionality, such as sign up, will not work. If you do have javascript enabled there may have been a loading error; try refreshing your browser.

Home Basic Math Fractions. Still Confused? Nope, got it. Play next lesson. Try reviewing these fundamentals first Determining Common Factors Determining common multiples.

That's the last lesson Go to next topic. Still don't get it? Play next lesson or Practice this topic. Play next lesson Practice this topic. Start now and get better math marks! Intro Lesson: a. Lesson: 1a. Lesson: 1b. Lesson: 1c. Lesson: 1d. Lesson: 2. Lesson: 3. Intro Learn Practice. What is a whole number You've encountered lots of whole numbers before now. Knowing the difference will be important in this lesson How to multiply fractions with whole numbers When you're given a question that requires you to deal with multiplying fractions with whole numbers, there's 4 4 4 main steps you'll have to carry out.

Simplified form of the fraction. Simplify a fraction. Simplify and get the answer. Do better in math today Get Started Now. What are fractions? Using models to add and subtract fractions 3. Adding fractions with like denominators 4.

Subtracting fractions with like denominators 5. Adding and subtracting fractions with unlike denominators 6. Adding and subtracting mixed numbers 7. Multiplying fractions and whole numbers 8. Dividing fractions with whole numbers 9. Multiplying proper fractions Multiplying improper fractions and mixed numbers Dividing fractions and mixed numbers Applications of fraction operations Back to Course Index. Don't just watch, practice makes perfect. How to convert a whole number to a fraction?

Three quarters of the trees in a park are maple trees. If there are trees in the park, how many of them are maple trees? Multiplying fractions and whole numbers Don't just watch, practice makes perfect. We have over practice questions in Basic Math for you to master.

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