I recognize fractions are difficult, yet with these basic step-by step instructions you"ll be resolving equations through fractions in no time.

You are watching: How to get rid of a fraction

Do you begin to get nervous as soon as you view fractions? perform you need to stop and review all the rules for adding, subtracting, multiplying and dividing fractions?

If so, you are simply like nearly every various other math student out there! But... I am going come make her life therefore much easier when it concerns solving equations v fractions!

Our first step once solving this equations is to remove the fractions since they are not straightforward to occupational with!

Let check out what happens v a common two-step equation v the distributive property.

In this problem, us would commonly distribute the 3/4 throughout the parenthesis and then solve. Let"s view what happens:


Yuck! That simply made this trouble worse! now we have actually two fountain to complete with and also that means subtracting fractions and multiplying fractions.

So... Let"s protect against here and also say,

We carry out NOT desire to carry out this! perform NOT distribution fractions.

We room going come learn exactly how to get rid of the fractions and make this much much more simple!

So... What carry out we do? We are going to eliminate just the denominator in the fraction, so we will be left v the numerator, or simply an integer!

i know, simpler said 보다 done! It"s really not hard, but prior to I obtain into it, I want to walk over one algebra definition.

We require to comment on the native term.

In Algebra, every term within an equation is be separated by a add to (+) sign, minus (-) sign or an equates to sign (=). Change or quantities that are multiplied or split are thought about the very same term.


That last example is the most vital to remember. If a quantity is in parentheses, it it considered one term!

Let"s look in ~ a couple of examples of how to settle these stunner looking problems!

Example 1 - Equations through Fractions


Take a look in ~ this instance on video clip if you room feeling overwhelmed.

Hopefully you were able come follow the example. I understand it"s tough, however if you can get rid of the fraction, it will certainly make these difficulties so lot easier. Save going, you"ll obtain the hang of it!

In the following example, you will certainly see two fractions.  due to the fact that they have the very same denominator, we will multiply by the denominator and also get rid the both fractions.

Example 2 - Equations with Fractions v the exact same Denominator


Did you an alert how multiply by 2 (the denominator of both fractions) permitted us to eliminate the fractions?  This is the best way to resolve equations the contain fractions.

In the following example, you will watch what happens once you have actually 2 fractions that have different denominators. 

We still desire to eliminate the fractions every in one step. Therefore, we must multiply every terms through the least common multiple.  Remember how to find the LCM?  If not, examine out the LCM lesson here.

Example 3 - Equations with Two fractions with various Denominators


Yes, the equations are obtaining harder, yet if you take it it step-by-step, you will certainly arrive in ~ the exactly solution. Store at the - I recognize you"ll get it!

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