## Solving Simple Equations With Fractions and Decimals

#### Aligned To Common Core Standard:

**Grade 6 Expressions & Equations** - 6.EE.B.7

Tips for Solving Simple Algebraic Equations - Solving algebraic expressions is the first step towards learning advanced algebra. Thus, it requires the students to be in focus, given that one mistake could make the solution wrong. To solve algebraic expressions perfectly, keep in mind the following tips stated below. The basic strategy for solving an algebraic equation is the first isolating the variable terms at one side and then applying the inverse operation as they seem necessary. An inverse operation undoes another operation. Always remember that any operation that is applied on one side of the equation should be applied on the other side as well, in order to maintain balance on both sides. If this rule is maintained, you can easily change the terms involved in the equation, without changing the relationship between them. Firstly, if you have a variable mentioned only once in an equation, you can leave it on one side of the relational operator and take the numbers on the other side. For instance: x + 3 = 5 | x = 5 - 3 Notice that the significant changes when you decide the number on the other side. Now, the answer will be: x = 2. These worksheets are filled with problem that include basic equations that also have fractions and decimals.

### Printable Worksheets And Lessons

- Decimals Step-by-Step Lesson- Students usually breeze through this, if they understand basic linear equations.
- Fractions Step-by-Step Lesson - Students have a difficult time with this concept, out of all of the single step problems.
- Both Decimals and Fractions Step-by-Step Lesson - If you feel that you're students are advanced and you want to save paper / ink.
- Fractions and Decimals Worksheet 1 - We tried to make these as linear spaced as possible.
- Fractions and Decimals Worksheet 2 - We made sure to provide twenty problems as per so many requests from teachers.

#### Homework Sheets

This flows right in sync with the previous material.

- Homework 1 - Find the value of each variable. Just cancel out the values that bug you with the methods we have discussed.
- Homework 2 - Lots of fractions up in here. Reduce these values to see if that helps.
- Homework 3 - The variable change each step of the way. Make note of the changes that take place.
- Practice Worksheet 3 - A nice mix of decimals and fractions, but it is more decimal heavy.

#### Math Skill Quizzes

Time to see if students really know their stuff.

- Quiz 1 - A lot of negative values that need a change of heart.
- Quiz 2 - Watch out for the blue number holder.
- Quiz 3 - This quiz is fraction heavy. Give it a few tries to make sure you have it down.

### How to Approach Problems That Include Fractions and Decimals

When you first begin to see problems that include a fraction or decimal your first goal should be to try to neutralize these values to make your operations simpler. When it comes to fraction focus on finding common factors of both the numerator and denominator are reduce that value into the simplest form. Once that value is reduced rearrange the equation to get the variable by itself. If the fraction is still difficult to work with remember that you can use the reciprocal to make it basically disappear, as needed. Just remind yourself that you need to process this operation on both sides of the equals symbol. When working with decimals it helps to just get rid of the decimal form by multiplying it by a whole number value. For example, if you had a value that ends in two-tenths, multiplying everything by five would make that decimal a whole number value. Once again, make sure that you apply this product to every term in the equation and you will be good to go. As with everything repetition is the key to getting good at this skill.