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Translate and solve: The sum of three-eighths and is three and one-half.
Translate. | |
Use the Subtraction Property of Equality to subtract from both sides. | |
Combine like terms on the left side. | |
Convert mixed number to improper fraction. | |
Convert to equivalent fractions with LCD of 8. | |
Subtract. | |
Write as a mixed number. |
We write the answer as a mixed number because the original problem used a mixed number.
Check:
Is the sum of three-eighths and equal to three and one-half?
Add. | |
Simplify. |
The solution checks.
Translate and solve: The sum of five-eighths and is one-fourth.
Translate and solve: The difference of one-and-three-fourths and is five-sixths.
Determine Whether a Fraction is a Solution of an Equation
In the following exercises, determine whether each number is a solution of the given equation.
Solve Equations with Fractions using the Addition, Subtraction, and Division Properties of Equality
In the following exercises, solve.
Solve Equations with Fractions Using the Multiplication Property of Equality
In the following exercises, solve.
Mixed Practice
In the following exercises, solve.
Translate Sentences to Equations and Solve
In the following exercises, translate to an algebraic equation and solve.
divided by eight is
divided by is
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