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Main idea
Solve equations with fractions using the same methods as normal equations Use inverse operations to isolate the variable When dividing by a fraction multiply by its reciprocal
Equation
Math sentence with an equal sign showing two sides are the same
Reciprocal
Flipped version of a fraction numerator and denominator switch
Inverse operation
Undoes another operation Division is undone by multiplication
Example 1
(5/7)x = 10 → x = 14
Check
(5/7) × 14 = 10 true
Remember
Multiply both sides by the reciprocal of the fraction Check your answer in the original equation
TITLE
Solve Equations with Fractions 9 17 25