How To Simplify Multiple Fractions

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This article was co-authored by Dr. Mario Banuelos. Mario Banuelos is an assistant professor of mathematics at California State University, Fresno. Mario has over 8 years of teaching experience, specializing in mathematical biology, optimization, statistical models for genome evolution, and data science. Mario received a BA in mathematics from the University of California, Fresno, and a Ph.D. in Applied Mathematics from the University of California, Merced. Mario teaches high school and college.

How To Simplify Multiple Fractions

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Simplifying Algebraic Fractions

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To multiply fractions, you need to multiply the numerator and denominator and simplify the result. To divide fractions, you need to convert the numerator and denominator of one of the fractions, multiply the result by the other fraction, and simplify. If you want to know how to divide and multiply fractions right away, follow these steps.

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Ways To Simplify Algebraic Fractions

To multiply fractions, first multiply the numbers or the highest digit of each fraction. For example, if you want to multiply by 1/12 × 3/4, first multiply by 1 × 3 = 6. Next, multiply by the denominator 12 × 4 = 48 and convert our example fraction to 6/48. After multiplying the top and bottom parts, find the greatest common factor, or GCF, and simply subtract the fractions. In general, you can start with 2 if it’s an even number. After obtaining the GCF, divide the numerator and denominator to reduce the fraction. When divided by 6, the sample fraction is reduced to 1/8. To learn how to divide fractions, read on! Welcome to this free tutorial where you’ll learn a simple 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 with answers.

Simplifying An Expression With A Fraction Bar

Before we learn how to multiply fractions, let’s take a quick look at how to multiply fractions by fractions (learning how to apply the following rules will make it easier for you to multiply fractions and whole numbers!)

Fraction multiplication rules: When multiplying fractions, multiply the numerators, multiply the denominators…

Note that fractions (3/8) cannot be simplified (because 8 and 3 have no common divisor)

How To Simplify Math Expressions: 13 Steps (with Pictures)

Now that you know the rules for multiplying fractions by fractions, you can use it to easily multiply fractions by whole numbers.

Now that you multiply the fraction by the decimal, you can apply the rules and solve as follows…

Wait! What if the answer could be simplified? Let’s see what’s going on in the next example…

Simplifying And Evaluating Complex Fractions

Since the greatest common factor (GCF) of 45 and 10 is 5, you can simplify by dividing both the numerator and denominator by 5 as follows…

To learn more about multiplying fractions and other free practice questions, watch the following video lessons:

Looking for more practice on multiplying fractions by whole numbers? Click the link below to download a free worksheet and answer key:

Ratio, Proportion And Rates Of Change Geometry And Measures

Tags: multiplying fractions by whole numbers , multiplying fractions and whole numbers , multiplying fractions by whole numbers exercises , multiplying fractions by whole numbers examples , fractions simplification The last time you thought about multiplying fractions was probably in fifth grade. However, if you want to halve a recipe or use the score to calculate a new price for a sweater, you may need to have a deep memory of how to do it. Let’s update:

Each fraction has an upper and lower number, separated by a short horizontal line. In a correct fraction, the smaller number – the numerator – is always at the top, and the larger number – the denominator – is at the bottom. The numerator indicates how many units a whole has, and the denominator indicates how many units make up a whole. So the fraction 1/2 has two units as a whole, 1 – the numerator and 2 – the denominator, but this fraction tells us that we only have one of these units.

Unlike adding and subtracting fractions, you can multiply fractions with different denominators. For example, multiplying by 3/4 x 2/5 is no problem.

Simplifying Fractions With A Denominator Of 100

The third step is to simplify or reduce the fraction because there are better ways to read the fraction.

To do this, we find the largest number by which the numerator and denominator can be divided to reduce the fraction. In this case, the largest divisible number is 2, so the short answer to this multiplication problem is 3/10.

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Ways To Multiply Fractions With Whole Numbers

This article was co-authored by David Jia. David Jia is an academic tutor and founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David has studied a variety of subjects with students of all ages and grades, and provides college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. After SAT scores of 690 in Math and English, David received a Dickinson Scholarship from the University of Miami and earned a BA in Business Administration. Additionally, David has served as an online video instructor for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

A complex fraction is a fraction whose numerator, denominator, or both contain fractions. For this reason, complex fractions are sometimes referred to as “cumulative fractions”. Depending on how many terms are in the numerator and denominator, whether any of the terms are variables, and if so, the complexity of the variable terms, simplifying complex fractions is an easy-to-hard process. See Step 1 below to get started!

How To Multiply Rational Expressions? (17 Powerful Examples!)

To simplify a complex fraction, first find the inverse of the denominator, just rotate the fraction. Then, multiply this new fraction by the numerator. You should now have an easy score. Finally, find the greatest common factor between the numerator and denominator, and simplify the new fraction by dividing the two fractions by that number. If you want to learn how to simplify fractions with variables, keep reading! We use cookies to make it even better. By using our website, you agree to our cookie policy. Cookie settings

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A complex number is a combination of real and imaginary parts. Imaginary numbers are the term used for the square root of negative numbers, specifically using the notation i=−1}}. Therefore, complex numbers consist of real numbers and multiples of i. Some example complex numbers are 3+2i, 4-i, or 18+5i. like any other plural

How To Simplify Multiple Fractions