# How Do You Find The Lcd Of Two Fractions

**How Do You Find The Lcd Of Two Fractions** – As I was finishing my last post on a new way to find the LCM for a pair of numbers, I found another way to do the same thing.

In the first problem, if you take 15 and 20 and make it a fraction, you get 15/20, which reduces to 3/4.

## How Do You Find The Lcd Of Two Fractions

If you take 3 in the numerator of 3/4 and multiply it by 20, you get 60, LCM.

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Similarly, if you take 4 from the 3/4 denominator and multiply it by 15, you also get 60.

I thought about this a bit and realized that this leads to another way to find the LCM of two numbers.

1) Write these two numbers as a fraction and the smaller number as the numerator. Then reduce the fraction to lowest terms.

2.) Multiply the original fraction in place of the reduced fraction. The fraction you ended up with has LCM as both numerator and denominator.

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It’s that easy. If you’d like to “handle” this project, try these practice problems using this technique.

Josh Rappaport is the author of the Algebra Survival Guide and Workbook, an award-winning program that makes algebra doable! The books break down algebraic concepts into manageable chunks and provide guidance in an engaging Q&A format. Josh is also the author of PreAlgebra Blastoff!, which presents an engaging, hands-on approach (including a 16-page color comic) to learning the rules of whole numbers. Josh’s unique series of student-centered math textbooks is published by Singing Turtle Press and can be found on Amazon.com. This article was written by Dr. Mario Banuelos. 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 models of genome evolution and data science. Mario holds a BA in Mathematics from California State University, Fresno and a Ph.D. in applied mathematics from the University of California, Merced. Mario has taught at both high school and university level.

This article has 12 references, which can be found at the bottom of the page.

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This article has been fact-checked, which ensures the accuracy of all facts stated and confirms the authority of its sources.

If you want to add or subtract fractions that have different denominators (the lowest number in the fraction), you must first find a common denominator that is shared between them. In order to end up with the simplest fraction, it is best to find not only the common denominator, but also the lowest (or smallest) common denominator. It refers to the smallest multiple that each original denominator of an equation divides, or the smallest whole number that each denominator can divide by.

You may also see the least common multiple of the phrase. It usually refers to integers, but the methods to find it are the same for both. Once you identify the lowest common denominator, you can convert the denominators to the same number so you can add and subtract.

This article was written by Dr. Mario Banuelos. 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 models of genome evolution and data science. Mario holds a BA in Mathematics from California State University, Fresno and a Ph.D. in applied mathematics from the University of California, Merced. Mario has taught at both high school and university level. This article has been viewed 722,917 times.

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One way to find the Least Common Denominator (LCD) of two or more fractions is to list the factors of each denominator, which are all whole numbers evenly divisible by that number. Then determine the greatest common factor between the two denominators. To use this number to find the LCD, multiply the two denominators together and divide the number by the greatest common factor. For example, for ⅜ and 5/12, the greatest common factor is 4, and the two denominators multiplied together are 96. 96 divided by four is 24, which is the LCD. If you want to learn how to find the LCD using the prime numbers, continue reading the article Home Product index Meters and meters Electricity meters Energy meters and Power meters

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