How do you get rid of fractions in an equation with variables?
How do you get rid of fractions in an equation with variables?
Find the least common denominator of all the fractions in the equation. Multiply both sides of the equation by that LCD. This clears the fractions. Isolate the variable terms on one side, and the constant terms on the other side.
How do you distribute equations with variables?
Distributive property with variables
- Multiply, or distribute, the outer term to the inner terms.
- Combine like terms.
- Arrange terms so constants and variables are on opposite sides of the equals sign.
- Solve the equation and simplify, if needed.
Can you distribute a variable?
Distributing variables over the terms in an algebraic expression involves multiplication rules and the rules for exponents. When different variables are multiplied together, you can write them side by side without using any multiplication symbols. Add the exponents. Complete the distribution.
When distributing to fractions do you multiply the denominator?
distributive property
Use the distributive property to expand the expression. Multiply the numerators and then multiply the denominators. Reduce if possible. Let’s try another example of the distributive property with fractions.
How do you multiply fractions with the distributive property?
The distributive property allows us to multiply one number or term with a set of terms in parentheses. All you do is multiply the term outside the parenthesis by each term inside the parentheses. Fractions follow the same rules as any other kind of term in algebra.
What are variables in fractions?
Variables are letters that represent unknown values. Common variables in math are x and y, although any letter in the alphabet can be used. Now that we’ve got the basics down, we can swim a bit deeper… so how can variables be with fractions? There are two different ways!
Are fractions easy to work with?
But take heart and know that fractions are just as easy to work with as any other number type. The distributive property allows us to multiply one number or term with a set of terms in parentheses. All you do is multiply the term outside the parenthesis by each term inside the parentheses.
How do you add fractions with different coefficients?
If you need to add variables with fractions as coefficients, you follow the same practices. The variable must be the same for any terms to be added. For example, 3x and 4z cannot be added because the variables are not the same. But, 3x and 4x can be added to get 7x.
