Francine uses (2)/(3) cup of pineapple juice for every (1)/(3) cup of orange juice to make a smoothie. Enter the number of cups of pineapple juice Francine uses for 1 cup of orange juice. ◻ cups of pineapple juice

Calculate pineapple to orange ratio: She uses (2)/(3) cups of pineapple for every (1)/(3) cup of orange juice, so we need to find out how many (2)/(3) are in 1 cup.Divide 1 cup by orange juice amount: To do this, we divide 1 cup by the amount of orange juice she uses, which is (1)/(3) cup: 1 ÷ (1)/(3).Multiply by reciprocal: Dividing by a fraction is the same as multiplying by its reciprocal, so we multiply 1 by the reciprocal of (1)/(3), which is 3: 1 × 3 = 3.Determine pineapple juice for 1 cup: Now we know she uses 3 times the amount of pineapple juice as she does orange juice for 1 cup of orange juice.Multiply pineapple amount by 3: So, we multiply the (2)/(3) cups of pineapple juice by 3 to find out how much pineapple juice she uses for 1 cup of orange juice: (2)/(3) × 3.Final result: (2)/(3) × 3 = 2 × 1 = 2 cups of pineapple juice.

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Francine uses (2)/(3) cup of pineapple juice for every (1)/(3) cup of orange juice to make a smoothie.
Enter the number of cups of pineapple juice Francine uses for 1 cup of orange juice.

◻ cups of pineapple juice

Francine uses $\frac{2}{3}$ cup of pineapple juice for every $\frac{1}{3}$ cup of orange juice to make a smoothie. $\newline$ Enter the number of cups of pineapple juice Francine uses for $1$ cup of orange juice. $\newline$ $\square$ cups of pineapple juice

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Grade 6

Evaluate variable expressions: word problems

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Q. Francine uses

\frac{2}{3}

cup of pineapple juice for every

\frac{1}{3}

cup of orange juice to make a smoothie.

\newline

Enter the number of cups of pineapple juice Francine uses for

1

cup of orange juice.

\newline

\square

cups of pineapple juice

Calculate pineapple to orange ratio: She uses $(\frac{2}{3})$ cups of pineapple for every $(\frac{1}{3})$ cup of orange juice, so we need to find out how many $(\frac{2}{3})$ are in $1$ cup.
Divide $1$ cup by orange juice amount: To do this, we divide $1$ cup by the amount of orange juice she uses, which is $(1)/(3)$ cup: $1 \div (1)/(3)$ .
Multiply by reciprocal: Dividing by a fraction is the same as multiplying by its reciprocal, so we multiply $1$ by the reciprocal of $\frac{1}{3}$ , which is $3$ : $1 \times 3 = 3$ .
Determine pineapple juice for $1$ cup: Now we know she uses $3$ times the amount of pineapple juice as she does orange juice for $1$ cup of orange juice.
Multiply pineapple amount by $3$ : So, we multiply the $(\frac{2}{3})$ cups of pineapple juice by $3$ to find out how much pineapple juice she uses for $1$ cup of orange juice: $(\frac{2}{3}) \times 3$ .
Final result: $(\frac{2}{3}) \times 3 = 2 \times 1 = 2$ cups of pineapple juice.