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To rewrite the quantity in the denominator as 1, multiply

a) 2/3
b) 3/2
c) 3/3
d) 2/2

1 Answer

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Final answer:

To rewrite the denominator as 1, you should multiply by a fraction like 3/3 or 2/2, because any fraction with the same number as the numerator and denominator equals 1. This forms the concept of a conversion factor which simplifies expressions and maintains equality in equations.

Step-by-step explanation:

To rewrite a quantity in the denominator as 1, you should multiply by a fraction that has the same numerator and denominator because any fraction with the same number on the top and bottom equals 1. This is referred to as a conversion factor. In the options provided, both 3/3 and 2/2 represent fractions with the same numerator as denominator and thus, either would result in a value of 1 when used as the multiplier.

For example, if you divide both sides of an equation by a quantity, you must divide by the same quantity in the numerator and the denominator to maintain the equality of the equation. This gives us an insight into the importance of conversion factors and how they can simplify complex expressions while retaining the true value of the equation.

User Dzmitry Paliakou
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