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A recipe calls for 3/4 cup of sugar for every 1/2 teaspoon of cinnamon. What is the unit rate in teaspoons of cinnamon per cup of sugar?

Answer :

mrseercalf

Answer:

[tex]\frac{2}{3}[/tex] teaspoons of cinnamon per cup of sugar.

Step-by-step explanation:

A recipe calls for [tex]\frac{3}{4}[/tex] cups of sugar for every [tex]\frac{1}{2}[/tex] teaspoons of cinnamon.

For one cup of sugar;

1 × [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{2}{3}[/tex] teaspoons of cinnamon will be needed.

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