This series of worksheets will help student become comfortable with equation that include some form of a fraction. When students first come across these types of problems, they often find it confusing. This section starts with a fractional equation lesson. We follow it up with two worksheets for independent practice and a review sheet. I would use the review later in the year to help spiral your curriculum for students. You can also assess student understanding of the material with the Do Now (introductory approach) and, of course, the quiz that is offered in this section. Use these worksheets to help your students learn how to solve equations that include both fractions and variables. Because there are multiple formats within the same body of work, students get confused quickly.

# Print Solving Equations with Fractions Worksheets

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##
Solving Fractional Equations Lesson

Learn how to rearrange the terms that are contained within equations. Follow the steps in order to solve the following problem, then practice the problems provided. Example: Solve: y/10 + 3y/5 = 7/2

## Practice Worksheet 1

Solve these 10 fractional equations. You will need to counter operations on both sides of the equals sign. Example: a/5 + 4a/5 = 10/5 x 2

## Mixed Operations Practice Worksheet 2

These problems include equations that all different types of operators found all over the place. You will need to do your best to get those variables by themselves.

## Solving Fractional Equations Review

Follow the steps to solve the following problem: y/10 + 4y/5 = 5/2. Then practice the skill with the 6 problems provided. This offers a solid review for you to work with.

## Fractional Equations Quiz

This quiz will help you understand how well you know this material and if you need more time reviewing the topic.

## Fractions in Equations Do Now

This is a nice quick recap of the skills that are required for this topic.

## How to Solve Fractional Equations

A fractional equation is an equation in which at least one of the variables is represented by a fraction. In other words, it's an equation that contains fractions on one or both sides of the equals sign.

The great thing about solving fractional equations is that they always have a single, definite solution. This makes them much easier to solve than ordinary equations, which can often have multiple solutions.

**Step-by-Step Guide**

**Find the Lowest Common Denominator (LCD)**

To solve a fractional equation, you need to find the Lowest Common Denominator (LCD) of all the fractions in the equation. The LCD is the smallest number that all denominators will go into evenly.

For example, suppose you have the following equation:

2/3x + 1/4 = 11/12

The LCD of this equation is 12. Now Multiply each erm individually with the number that makes the denominator equal to the LCD, i.e., 12 in the present case.

Once you've found the LCD, rewrite each fraction in the equation so that it has that denominator. In other words, you want to convert each fraction into an equivalent fraction with a denominator of 12.

4x2/3x + 3x 1/4 = 11/12

8/12x + 3/12 = 11/12

8+3x/ 12 = 11/12

Multiply both sides of the equation by the LCD (to remove the fractions).

Now multiple both sides with the LCD to clear the denominators.

8 + 3x = 11

Solve the equation.

Now that the equation is no longer fractional, you can solve it using regular algebraic methods.

In this case, you would subtract 8 from both sides of the equation to isolate the variable on one side and then divide both sides by 3 to solve for x.

3x = 11 - 8

3x = 3

3x = 3

x = 1

Thus, the solution to the original equation is x = 1.

Remember that there are a few different ways to solve fractional equations. This is just one method. However, it is a reliable method that always works, so it's good to know. You'll solve fractional equations like a pro with a little practice!

**Tips for Solving Equations That Contain Fractions**

There are some valuable tips that will not only save you time, but also increase your level of accruacy.

When solving fractional equations, always try to simplify the fractions as much as possible. This will make it easier to see a pattern and solve the equation.

Suppose there is a variable in the denominator. In that case, you can often get rid of it by multiplying both sides of the equation by that variable.

Sometimes you can use inverse operations to cancel out a fraction. For example, if there is a 1/x on one side of the equation, you can multiply both sides by x to get rid of it.

If you are having trouble solving a fractional equation, try rewriting it as a decimal. This will sometimes make it easier to see what is going on.

**How to Check Your Answer**

One method is to clear the equation of fractions by multiplying both sides by the LCD (least common denominator). This will give you an equation with only whole numbers and no fractions. You can then solve this equation like any other and check your work by plugging your answer back into the original equation.

**Final Words**

Solving fractional equations may seem daunting at first, but with a bit of practice, you'll be able to do it like a pro. In this article, we have provided a step-by-step guide on how to solve fractional equations using the LCD. We also included some tips for making the process easier. With a little patience and perseverance, you'll be solving fractional equations in no time!