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A recipe calls for 2/3 cup of sugar for every 1/2 teaspoon of vanilla. what is the unit rate of cups per teaspoon?

Verified Answer :

JonHenderson55

Answer:
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The unit rate of cups per teaspoon is: "1 ⅓ to 1" ; or, simply, "1 ⅓ " .
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Explanation:
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 The ratio:  (2/3): (1/2); or:  (2/3) / (1/2) ;
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(2/3) / (1/2) = (2/3) ÷ (1/2) = (2/3) (2/1) = (22)/(3*1) = (4/3) ;

4/3 = 1 ⅓ .  So, the ratio is  1 ⅓ to 1;  and the unit rate is:  1 ⅓ .
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The unit rate of cups per teaspoon is \(1\frac{1}{3}\)

Given that,

  • A recipe calls for 2 by 3 cup of sugar for every 1 by 2 teaspoon of vanilla.

Based on the above information, the calculation is as follows:


\(= (2\div 3) \div (1\div2) \\\\= (2\div3) \div (1\div2)\\\\ = (2\div3) \times (2\div 1) \\\\= (2\times 2)\div (3\times 1) \\\\= (4\div 3)\\\\= 1\frac{1}{3}\)

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