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Answer :
Let's break down the problem step by step.
### Part 1: How many tablespoons are in [tex]\(\frac{1}{2}\)[/tex] cup?
1. We know from the problem that there are 16 tablespoons in 1 cup.
2. Since we need to find out the number of tablespoons in [tex]\(\frac{1}{2}\)[/tex] cup, we multiply the number of tablespoons in one cup by [tex]\(\frac{1}{2}\)[/tex]:
[tex]\[
\frac{1}{2} \text{ cup} \times 16 \text{ tablespoons per cup} = 8 \text{ tablespoons}
\][/tex]
So, there are 8 tablespoons in [tex]\(\frac{1}{2}\)[/tex] cup.
### Part 2: How many teaspoons are in 8 tablespoons?
1. According to the problem, there are 3 teaspoons in 1 tablespoon.
2. To find out how many teaspoons are in 8 tablespoons, we multiply the number of tablespoons by the number of teaspoons per tablespoon:
[tex]\[
8 \text{ tablespoons} \times 3 \text{ teaspoons per tablespoon} = 24 \text{ teaspoons}
\][/tex]
Therefore, there are 24 teaspoons in 8 tablespoons.
### Part 3: How many teaspoons are in [tex]\(\frac{1}{2}\)[/tex] cup?
1. From Part 1, we found out that [tex]\(\frac{1}{2}\)[/tex] cup is equivalent to 8 tablespoons.
2. Since we already know that there are 24 teaspoons in 8 tablespoons from Part 2, we can conclude that:
[tex]\[
\frac{1}{2} \text{ cup} = 24 \text{ teaspoons}
\][/tex]
To summarize:
- [tex]\(\frac{1}{2}\)[/tex] cup is equal to 8 tablespoons.
- 8 tablespoons is equal to 24 teaspoons.
- Therefore, [tex]\(\frac{1}{2}\)[/tex] cup is also equal to 24 teaspoons.
### Part 1: How many tablespoons are in [tex]\(\frac{1}{2}\)[/tex] cup?
1. We know from the problem that there are 16 tablespoons in 1 cup.
2. Since we need to find out the number of tablespoons in [tex]\(\frac{1}{2}\)[/tex] cup, we multiply the number of tablespoons in one cup by [tex]\(\frac{1}{2}\)[/tex]:
[tex]\[
\frac{1}{2} \text{ cup} \times 16 \text{ tablespoons per cup} = 8 \text{ tablespoons}
\][/tex]
So, there are 8 tablespoons in [tex]\(\frac{1}{2}\)[/tex] cup.
### Part 2: How many teaspoons are in 8 tablespoons?
1. According to the problem, there are 3 teaspoons in 1 tablespoon.
2. To find out how many teaspoons are in 8 tablespoons, we multiply the number of tablespoons by the number of teaspoons per tablespoon:
[tex]\[
8 \text{ tablespoons} \times 3 \text{ teaspoons per tablespoon} = 24 \text{ teaspoons}
\][/tex]
Therefore, there are 24 teaspoons in 8 tablespoons.
### Part 3: How many teaspoons are in [tex]\(\frac{1}{2}\)[/tex] cup?
1. From Part 1, we found out that [tex]\(\frac{1}{2}\)[/tex] cup is equivalent to 8 tablespoons.
2. Since we already know that there are 24 teaspoons in 8 tablespoons from Part 2, we can conclude that:
[tex]\[
\frac{1}{2} \text{ cup} = 24 \text{ teaspoons}
\][/tex]
To summarize:
- [tex]\(\frac{1}{2}\)[/tex] cup is equal to 8 tablespoons.
- 8 tablespoons is equal to 24 teaspoons.
- Therefore, [tex]\(\frac{1}{2}\)[/tex] cup is also equal to 24 teaspoons.
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