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Examples Of Solving Equations With Fractions
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OpenStax Learning Objectives Determine whether a fraction is a solution of an equation Solve equations with fractions using the Addition Subtraction and Division Properties of Equality Solve equations using the Multiplication Property of Equality Translate sentences to equations and solve be prepared
Solve equations with fractions examples Example 1 equations with one operation Solve for x text cfrac x 5 4 x 5x 4 Identify the operations that are being applied to the unknown variable The unknown is x x Looking at the left hand side of the equation the x x is divided by 5 5
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Equations With Fractions Examples Practice Expii
Equations With Fractions Examples Practice Expii
This is the best way to deal with equations that contain fractions In the next example you will see what happens when you have 2 fractions that have different denominators We still want to get rid of the fractions all in one step Therefore we need to multiply all terms by the least common multiple
T O 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 Example 1 Solve for x Solution Clear of fractions as follows Multiply both sides of the equation every term by the LCM of denominators
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Solving Equations With Fractions Worksheet
Solving Equations With Fractions Worksheet
Learn how to solve equations with fractions with this BBC Bitesize Maths article For students between the ages of 11 and 14
In this lesson we ll look at how to solve equations with numerical fractions as coefficients and terms Remember that multiplying a fraction by its reciprocal will always give you a value of 1 For example 4 5 has a reciprocal of 5 4 because frac 4 5 cdot frac 5 4 1
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Solve equations with fractions examples Example 1 equations with one operation Solve for x text cfrac x 5 4 x 5x 4 Identify the operations that are being applied to the unknown variable The unknown is x x Looking at the left hand side of the equation the x x is divided by 5 5
https://math.libretexts.org/Bookshelves/PreAlgebra...
Example 1 Solve for x x 5 6 1 3 Solution To undo subtracting 5 6 add 5 6 to both sides of the equation and simplify x 5 6 1 3 Original equation x 5 6 5 6 1 3 5 6 Add 5 6 to both sides x 1 2 3 2 5 6 Equivalent fractions LCD 6 x 2 6 5 6 Simplify x 7 6 Add
Solve equations with fractions examples Example 1 equations with one operation Solve for x text cfrac x 5 4 x 5x 4 Identify the operations that are being applied to the unknown variable The unknown is x x Looking at the left hand side of the equation the x x is divided by 5 5
Example 1 Solve for x x 5 6 1 3 Solution To undo subtracting 5 6 add 5 6 to both sides of the equation and simplify x 5 6 1 3 Original equation x 5 6 5 6 1 3 5 6 Add 5 6 to both sides x 1 2 3 2 5 6 Equivalent fractions LCD 6 x 2 6 5 6 Simplify x 7 6 Add
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