# How Do You Solve Fractions

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This article was co-authored by Mario Banuelos, PhD, and staff writer Sophia Latorre. 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 for genome evolution, and data science. Mario received his bachelor’s degree in mathematics from California State University, Fresno, and his Ph.D. in applied mathematics from the University of California, Merced. Mario taught in high school and college.

## How Do You Solve Fractions

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#### Fractions And Solving Equations

Fractions questions may seem difficult at first, but they become easier with practice and knowledge. Start by learning the terminology and basics, then practice adding, subtracting, multiplying and dividing fractions.

Once you understand what fractions are and how to manipulate them, you’ll get through fraction problems.

#### Dividing Fractions Anchor Chart Made To Order Anchor Charts

This article was co-authored by Mario Banuelos, PhD, and staff writer Sophia Latorre. 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 for genome evolution, and data science. Mario received his bachelor’s degree in mathematics from California State University, Fresno, and his Ph.D. in applied mathematics from the University of California, Merced. Mario taught in high school and college. This article has been viewed 1,135,825 times.

To solve a fraction multiplication problem in math, line up 2 fractions next to each other. Multiply the top of the left-hand fraction by the top of the right-hand fraction and write that answer on top, then multiply the bottom of each fraction and write that answer at the bottom. Simplify the new fraction as much as possible. To divide fractions, turn one of the fractions upside down and multiply them in the same way. If you need to add or subtract fractions, read on! An equation is a statement used in mathematics to show that two objects are equal. In fractions, an equation is used to find the value of a fraction when one or more of its parts are unknown.

If you’re stuck on a math problem involving fractions, don’t worry! In this article, we will show you how to solve equations with fractions step by step.

### Adding And Subtracting Fractions With Unlike Denominators In 3 Steps — Mashup Math

First we must find the Least Common Denominator (LCD) of the fractions in the equation, which is the smallest number that can be a common denominator for both fractions. For this equation, the LCD is 12 because it is the least common multiple of 4 and 6.

Move all the terms with the variable to one side and further simplify both sides of the equation so that we have one term on each side.

Once the variable is isolated on one side, divide the coefficient on both sides to solve for the unknown variable.

### Why Are Fractions Important? 10 Real Life Examples

Q2) Add 1 to the unknown fraction and divide the sum by 3. The result is equal to 3/4. What is the value of the unknown fraction?

We can let n be an unknown number. We can set up an equation to solve the problem.

First, look for the lowest common denominator (LCD). Since 3 and 4 have no common factors, we find their product.

#### Math Example Fraction Properties Simplifying Fractions Example 14

Our platform is full of tests, tips, articles and videos that we are happy to share with you. All of our content is developed by industry professionals based on decades of experience in psychometric testing.

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### Solving Equations With Fractions

In a proper fraction, the smaller number – called the numerator – will always be on top, while the larger number – the denominator – will be on the bottom.

The numerator tells us how many units we have in the total, and the denominator tells us how many units make up the total. So in the fraction 1/2, 1 is the numerator and 2 is the denominator – there are two units in total, but this fraction tells us that we only have one of those units.

Unlike adding or subtracting fractions, you can multiply fractions with different denominators. For example, it is no problem to multiply 3/4 x 2/5.

#### Dividing Fractions Solve The Room Activity

The first step in multiplying two fractions is multiplying the numerator. So, in our example:

The second step in multiplying fractions is to use the same method and multiply the denominators together. So, in our example:

The third step is to simplify or reduce the fraction to its lowest form because there is a better way to read the fraction and produce the final answer.

### How To Add Fractions In 3 Easy Steps — Mashup Math

To do this, we find the largest number by which we can divide both the numerator and the denominator.

In this example, the largest number that is evenly divisible by two is 2, so the reduced answer to this multiplication problem is 3/10. We use cookies to make us great. By using our site, you agree to our cookie policy. Cookie settings

This article was co-authored by David Jia and writer Jessica Gibson. 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 works with students of all ages and grades in a variety of subjects, as well as college admissions counseling and test preparation for the SAT, ACT , ISEE, etc. After scoring an excellent 800 in math and a 690 in English on the SAT, David received a Dickinson Scholarship at the University of Miami, where he majored in business administration. Additionally, David has worked as an online video instructor for textbook publishing companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

### Step By Step Tutorial On How To Solve Fractions With Examples

Subtracting fractions can seem a little confusing at first, but with some basic multiplication and division, you’ll be ready to subtract easily. If the fractions are correct, check that the denominators are the same before subtracting the numerators. If the fractions are mixed and you have whole numbers, convert them to improper fractions. You also need to check that the denominators are the same before subtracting the numerator.

To reduce fractions, first check that the denominators are the same. If they are not, find the least common multiple of the two denominators. Then multiply each denominator to equal the lowest common multiple. Then multiply the numerator by the same number by which you multiplied the denominator. Finally, subtract the numerators and leave the denominator as the least common multiple. To learn how to subtract mixed numbers, scroll down! Adding and subtracting like fractions is nothing more than a common arithmetic operation. Once we have established that all the denominators are the same, the rest is simply adding or subtracting our numerators. The denominators tell us whether we can add or subtract them directly.

If we are dealing with denominators, this means that we are dealing with both similar fractions (also called similar fractions) and fractions with a difference (or different fractions). I have already discussed similar and unlike fractions in my previous post. For those who want to review, see my post titled “Types of Fractions”.

In this lesson, I will present a basic procedure (step by step) on how to add or subtract similar fractions. Various examples will follow to help you understand it better.

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