**How To Multiply Whole Numbers And Fractions** – Multiplying a fraction by an integer is a simple operation. This is one of the basic concepts taught in the lower grades. It is taught to improve students’ math skills. Students often get confused when multiplying and dividing fractions. In this article, we’ll look at some examples of techniques for multiplying fractions by integers.

Before learning how to multiply fractions by integers, let’s review some basic terms used in multiplication. Do you know minutes? In general, fractions are numbers expressed as p/q. For example: 2/3, 2/9, etc.

## How To Multiply Whole Numbers And Fractions

We need to understand that fractions have two parts. The part above the “dash” is called the numerator, and the number below the “dash” is called the denominator. All kinds of mathematical operations can be applied to fractions.

### Dividing Whole Number By Fractions Worksheets

Dividing the numerator by the denominator gives a whole number or a decimal number. It’s no longer a fraction. Therefore, the values are never fractions unless the format is p/q.

To learn how to multiply a fraction by a number, you first need to learn how to multiply a fraction by another. Please tell me the same in the article.

Suppose we have two fractions d/c and j/k. To multiply these fractions, we need to write them together correctly. Now look at the numerator and denominator of the fraction. Multiply the numerators (d x j) = x. Write the result of multiplying the numerators in different fractions, for example “x”.

Similarly, multiply the denominator of the fraction. Write the result of the denominator multiplication under the resulting numerator (c x k) = y. So the multiplication of two fractions can be expressed as

### Multiplying And Dividing Fractions Using Google Forms

After multiplying 4/5 by 3/7, the fraction is 12/35. Fractions can be easily reduced to simpler forms if the numbers in the fraction are multiples of smaller numbers. The only condition is that if you divide the numerator by any number ‘a’, you must divide the denominator by the same number ‘a’.

Solution: We see that both numerator = 12 and denominator = 9 are multiples of 3. So divide the numerator by 3 and the denominator by 3.

You have now learned how to multiply two fractions. In this section, you will learn how to multiply fractions by integers. Suppose we have a fraction d/c and an integer ‘k’. The first step in multiplying fractions and integers always starts with writing them together properly using the multiplication sign. For integers, there is no form “p/q”. So first change the number to fractional format. To do so, place a dash under an integer whose denominator is 1. Now the integer is in the form ‘p/q’.

Then follow the same steps as described for fraction multiplication. Now look at the numerator and denominator of fractions and integers. Multiplying the numerator by an integer ‘k’ gives (d x k) = x. Now multiply the denominator of the fraction by 1 (because the denominator of the whole number is 1). This gives (c x 1 = c). So the multiplication of two fractions can be expressed as

### Rationalizing The Denominator: Dealing With Surds/radicals In Fractions

When multiplying a fraction by an integer, the denominator of the fraction remains the same. So when you find such a multiplication, set the denominator as the denominator of the fraction and multiply the numerator.

Step 2: In such a case we need to multiply the numerator since we know that the denominator stays the same.

I hope this simplifies the question of how to multiply a fraction by an integer. Now let’s look at a very interesting idea.

But you can see that the answer is 3 even if you erase 11 first.

#### Multiply Fractions With Whole Numbers Interactive Worksheet

As mentioned in the example above. Suppose you want to multiply a fraction by a multiple of the denominator or an integer equal to the denominator. In that case, you can remove or reduce the numbers before doing the multiplication. Please understand this with the example below.

You can see that the integer and denominator are the same. So we can erase them and take the numerator of the fraction as the answer.

You can see that the denominator and integers are multiples of 7. So reduce them to a minimal form. 7 divided by 7 gives 1 and 21 divided by 7 gives 3. The numerator contains 3 x 3. So the answer for this question is 9.

As you know, the integers are the set of real numbers starting at 0 and continuing to positive infinity. I’ve seen all cases of multiplying a fraction by an integer. Multiplying a fraction by 1 gives the same number. But what happens when you multiply the fraction by 0?

#### Multiplying Fractions With Whole Numbers Calculator

We know that anything multiplied by 0 is 0. So when you multiply a fraction by 0, the resulting fraction is 0 or 0/1.

The reciprocal of a number is when the numerator and denominator are swapped. Since 0 = 0/1, its reciprocal is 1/0. Suppose you have a fraction ‘a/b’. Using the procedure we have learned so far, a x 1 = a and b x 0 = 0. So the resulting fraction is a/0. Mathematics does not define 1/0 or divide by 0. Therefore, you cannot multiply that number by the reciprocal of zero.

Quiz: Jill is making her homemade hot her chocolate. She uses her 1/4 tsp hot chocolate her mix to make 1 cup hot chocolate. 10 cups hot She calculates how many teaspoons it takes to make chocolate.

Answer. You can multiply fractions by multiplying by the numerator (top number) and then by the denominator (bottom number).

## Free} Fraction Of A Whole Number Worksheets

Answer. There are many ways to multiply fractions. The easiest way is to find the lowest common multiple of the denominators and multiply by the numerator of one fraction and then the numerator of the other fraction. If you have a computer, you can do it immediately.

Answer. The general rule for multiplying fractions is to multiply the numerator and denominator and then reduce.

Answer. To multiply fractions, the calculator must be switched to fraction mode. Then enter the first fraction (the top fraction) and press the Multiply key. Other fractions are automatically entered and multiplied by the first fraction. Then tap the equals sign to get the answer.

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### How To Multiply Fractions With Whole Numbers

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This article is co-authored by Dr. Mario Banuelos and staff his writer Jessica Gibson. Mario Banuelos is an Assistant Professor of Mathematics at California State University, Fresno. With over eight years of teaching experience, Mario specializes in mathematical biology, optimization, statistical modeling of genome evolution, and the science of data. He has a Bachelor’s degree in Mathematics from California State University, Fresno, and his Ph.D. He holds a BA in Applied Mathematics from the University of California, Merced. He has taught Mario at both high school and college levels.

#### Multiplying Mixed Numbers By Whole Numbers (video)

He is easy to multiply fractions by mixed numbers or integers. He starts by turning mixed numbers or whole numbers into wrong fractions. Then he incorrectly multiplies the numerators of both fractions. Multiply by the denominator to simplify the result.

This article is co-authored by Dr. Mario Banuelos and staff his writer Jessica Gibson. Mario Banuelos is an Assistant Professor of Mathematics at California State University, Fresno. With over 8 years of teaching experience, Mario specializes in: