Lets go back to the equation The lowest common denominator of the fractions and

# Lets go back to the equation the lowest common

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Let’s go back to the equation . The lowest common denominator of the fractions and is 8. So we’ll multiply the expression with those fractions by 8. Because we must preserve the equality of the equation, we’ll multiply the expression on the other side by 8, too. Now we’ve got . But wait—we just put parentheses back into the equation again. Now what? Simple, we go back to our old friend the Distributive Property once again. Once we multiply each term inside the parentheses by 8, both the parentheses and the fractions will disappear. Sweet.
In order to clear away the fractions from , we can multiply both sides of the equationby which of the following numbers? 3 6 9 18 A) 6 B) 3 and 6
C) 9D) 6 and 18 Show/Hide Answer Summary Complex, multi-step equations often require multi-step solutions. Before we can begin to isolate a variable, we might need to simplify the equation first. This may mean using the Distributive Property to remove parentheses, or multiplying both sides of an equation by a common denominator to get rid of fractions. Sometimes it requires both techniques. common denominator a number that is a multiple of all of the denominators in a group of fractions Distributive Property states that the product of a number and a sum equals the sum of the individual products of the number and the addends: for all real numbers a , b , and c , a ( b + c ) = ab + ac multi-step equation an equation that requires more than one step to solve variable a symbol that represents an unknown value Additive Inverse Property states that every real number added to its additive inverse (or opposite) will equal zero: For all real numbers a, a + (- a) = 0; also called Inverse Property of Addition coefficient a number that multiplies a variable
equation a statement that describes the equality of two expressions by connecting them with an equals sign Inverse Operations operations that undo or cancel one another, such as addition/subtraction and multiplication/division Multiplicative Inverse Property states that any number multiplied by 1 over that number equals 1: For all real numbers a, ; also called Inverse Property of Multiplication Property of Equality states that the equality of an equation is maintained when both sides have the same value added, subtracted, multiplied, or divided variable a symbol that represents an unknown value