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Solving a Proportion by “Cross” Multiplying
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A Ratio and a Proportion
Ratio: The relationship in quantity, amount, or size between two or more things. Typically expressed as a quotient of two mathematical expressions (i.e. A FRACTION). For example: Proportion: An equation that equates two ratios (i.e. TWO EQUAL FRACTIONS). For example:
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Solving a Proportion Solve: Solve: Cancel the divide by 5
Cancel the divide by X Cancel the divide by 2 Cancel the divide by 3
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Solving a Proportion Solve: Solve:
Notice the pattern will eliminate a lot of work. Multiply opposite numerators and denominators. The products are EQUAL. “Cross” Multiplication can be used to solve a proportion.
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Solving a Proportion Solve: Solve:
Multiply each numerator by the opposite denominator and set the products equal to each other.
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