How To Multiply Fractions By Whole Numbers – Multiplying a fraction by a whole number is a simple operation. This is one of the basic concepts taught in elementary school. Students are taught to increase their arithmetic skills. Students often make mistakes when multiplying and dividing fractions. This article discusses methods of multiplying fractions by whole numbers with some examples.
Before learning how to multiply fractions by whole numbers, let’s review the basic terms used in multiplication. Do you know what a fraction is? Fractions are generally numbers expressed as p/q. For example, 2/3, 9/2, etc.
How To Multiply Fractions By Whole Numbers
You 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 divisor. All kinds of mathematical operations can be done with fractions.
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If you divide the numerator by the denominator, you get a whole number or a decimal number. It no longer remains a faction. So a value can never be a fraction unless the form is p/q.
To multiply a fraction by a whole number, you must first learn how to multiply a fraction by another fraction. Let us know about it in the article.
Suppose we have two fractions, d/c and j/k. To multiply these fractions, you need to write them correctly on the opposite side. Then look at the numerator and denominator of the fraction. Multiply the numerators together (d x j) = x. Write the result of multiplying the numerator by another fraction and say “x”.
Similarly, multiply the denominators of fractions. Write the result of multiplying the divisor under the resulting numerator, (c x k) = y. Therefore, the product of two fractions can be expressed as:
Multiply Fractions By Whole Numbers Activity Pbl
After multiplying 4/5 by 3/7, the fraction is 12/35. If the number in the fraction is a multiple of some small number, you can easily reduce the fraction to simpler form. 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 numerator = 12 and denominator = 9 are both multiples of 3. So we divide the denominator by 3 and the denominator by 3.
Now we have learned how to multiply two fractions. In this section, you will learn how to multiply fractions by whole numbers. Suppose we have a d/c fraction and an integer ‘k’. The first step in multiplying fractions and whole numbers begins by writing them correctly opposite each other using the multiplication sign. For integers, we don’t have the form “p/q”. So first we convert the number to fractional form. To do this, put a line under the whole number whose scale is 1. Now we have an integer of the form “p/q”.
Now we follow similar steps mentioned in multiplying fractions. Now look at the denominator of the fraction and the whole number. Multiplying numerator by integer ‘k’ gives (d x k) = x. Now multiply the denominator of the fraction by 1 (since the denominator of the whole number is 1). This gives (c x 1 = c). Therefore, the product of two fractions can be expressed as:
How To Teach Multiplying Fractions With Pattern Blocks — Mix And Math
When multiplying a fraction by a whole number, the denominator of the fraction is preserved. So whenever you find this type of multiplication, place the denominator as the divisor of the fraction and multiply the number.
Step 2: Knowing that the denominator remains the same in such cases, we need to multiply the denominator.
I hope the question of how to multiply a fraction by a whole number is now simple. Let’s look at a very interesting idea further.
But you can see that if we subtract 11 from the beginning, we still get the answer 3.
Decomposing Fractions To Multiply
As shown in the example above. Suppose a fraction is multiplied by a product of the denominator or an integer equal to the denominator. In this case, you can subtract or reduce the number before the actual multiplication. Understand this from the examples below.
We see that the whole number and the denominator are the same. So we can eliminate them and get the number of fractions as the answer.
We observe that the denominator and the whole number are multiples of 7. Therefore, we reduced them to a minimum form. If you divide 7 by itself, you get 1, and if you divide 21 by 7, you get 3. Now there is 3×3 left in the numerator, so the answer to this question is 9.
As we know, integers are the set of real numbers starting from zero and extending to the positive limit. We have already seen all the cases of what happens when a fraction is multiplied by a whole number. If you multiply a fraction by 1, the number comes out by itself. But what happens when a fraction is multiplied by zero?
How To Multiply Proper Fractions By A Whole Number
We know that everything multiplied by zero is zero. Therefore, when a fraction is multiplied by zero, the resulting fraction is zero or 0/1.
A number reversal is when the numerator and denominator switch positions. Since 0 = 0/1, its opposite is 1/0. Assuming we have the fraction “a/b”. Using the steps we’ve learned so far, a x 1 = a and ab x 0 = 0. So the resulting fraction is a/0. In mathematics, 1/0 or something divided by zero is not defined. Therefore, we cannot multiply a number by the opposite of zero.
Word Problem: Jill makes homemade hot chocolate. A quarter teaspoon of hot chocolate is used to make 1 cup of hot chocolate. Calculate how many spoons are needed to make 10 cups of hot chocolate.
Answer. Fractions can be multiplied by multiplying the numerator (the top number) and then the denominator (the bottom number).
Divide Whole Numbers By Fractions
Answer. There are many ways to multiply fractions. The easiest way is to find the lowest common multiple of the denominator, multiply by the denominator of one fraction, and then multiply by the denominator of the other fraction. If you have a calculator, this can be done very quickly.
Answer. A general rule for multiplying fractions is to multiply the numerators, multiply the denominators, and then simplify.
Answer. To multiply fractions, you need to switch to fraction mode on your calculator. Then you enter the first fraction (at the top) and press the multiply button. The second fraction is automatically entered and multiplied by the first fraction. Then click right away to get the answer!
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Free} Fraction Of A Whole Number Worksheets
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This article was co-authored by Professor Mario Banuelos, Ph.D., and author Jessica Gibson. Mario Banuelos is an assistant professor of mathematics at California State University, Fresno. With more than eight years of teaching experience, Mario specializes in mathematical biology, optimization, statistical modeling of genome evolution, and data science. Mario received his BA and Ph.D. in mathematics from California State University, Fresno. in applied mathematics from the University of California, Merced. Mario has taught in both high school and college.
Multiply Fractions By Whole Number Worksheet
Fractions are easy to multiply by mixed fractions or whole numbers. Begin by changing mixed fractions or whole numbers to improper fractions. Then multiply the number of two improper fractions. Multiply the times and simplify the result.
This article was co-authored by Professor Mario Banuelos, Ph.D., and author Jessica Gibson. Mario Banuelos is an assistant professor of mathematics at California State University, Fresno. With over eight years of teaching experience, Mario is qualified