How To Solve Equations With Fractions How To Solve Equations With Fractions TO SOLVE AN EQUATION WITH fractions, we transform it into an equation without fractions -- which we know how to solve. The technique is called clearing of fractions. Do you start to get nervous when you see fractions? Do you have to stop and review all the rules for adding, subtracting, multiplying and dividing fractions? If so, you are just like almost every other math student out there! But... I am going to make your life so much easier when it comes to solving equations with fractions! Our first step when solving these equations is to get rid of the fractions because they are not easy to work with! That makes sense, right? We don't want to solve from here and end up having to subtract 9/4 from 9. We also don't want to multiply by the reciprocal yet, because we have so many terms, that again it will create more fractions within the problem. So... what do we do? We are going to get rid of just the denominator in the fraction, so we will be left with the numerator, or just an integer! Know More About :- Standard Form in Math
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I know, easier said than done! It's really not hard, but before I get into it, I want to go over one algebra definition. We need to discuss the word term. In Algebra, each term within an equation is separated by a plus (+) sign, minus (-) sign or an equals sign (=). Variable or quantities that are multiplied or divided are considered the same term. Solving fractional equations is very much like addition and subtraction of fractions, but after the first step, you will GET RID of the denominators! "Getting rid" of the denominators is actually changing them all to the value of 1, which of course does not need to be written, leaving us with a denominator-free equation. YEA!! 1. start by choosing the common denominator for the equation. Terms in equations are often connected by addition or subtraction. Dealing with addition or subtraction of fractions requires a common denominator. 2. multiply EVERY TERM in the equation by the common denominator. In an equation, (unlike an expression), you may multiply "every term" on both sides of the equal sign by the same value and not change the equation. You maintain a balanced equation. 3. reduce each term to form a "denominator free" equation. All denominators in the equation can be reduced with our common denominator, thus leaving all equation denominators as a value of one.
Learn More :- Types of Equations
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One of the first lessons taught in Algebra is Solving Equations. This is the basis of Algebra and many other lessons taught in Algebra will rely on knowledge of this skill. So, what is an equation? An equation is a mathematical statement that shows that two quantities are equal. For example, 6 + 3 = 9. This is an equation that shows that the expression 6+3 is equal to the quantity 9. However, in Algebra, one of the terms is typically unknown and a variable (letter) is used in it's place. For example, x + 3 = 9 is an Algebra equation. We must solve this equation to determine the value of x. I am going to teach you how to solve many types of equations. We will start with the basic algebra equation, which only involves one step to solve. From there we'll move onto two-step equations. I'll even teach you how to solve equations that contain fractions. They look scary, but they are really not too bad. Then we'll move on to equations with variables on both sides and writing equations based on word problems. We'll cover it all - so get your thinking cap on and get ready to solve equations.
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