High School

Give the equivalents for the following:

1 tablespoon = _____ tsp.

1 cup = _____ tablespoons

1 pint = _____ cups

1 gallon = _____ quarts

1 stick butter = _____ cup

\(\frac{1}{8}\) cup = _____ tbsp.

\(\frac{1}{2}\) tbsp. = _____ tsp.

8 tbsp. = _____ cup

\(\frac{1}{4}\) cup = _____ tbsp.

1 cup = _____ fluid oz.

1 quart = _____ pints

12 tbsp. = _____ cup

1 quart = _____ cups

1 gallon = _____ cups

1 cup = _____ \(\frac{1}{4}\) cups

5 tbsp. + 1 tsp. = _____ cup

Answer :

- 1 tablespoon equals 3 teaspoons.
- 1 cup equals 16 tablespoons.
- 1 pint equals 2 cups.
- 1 gallon equals 4 quarts.
- 1 stick of butter equals $\frac{1}{2}$ cup.
- $\frac{1}{8}$ cup equals 2 tablespoons.
- $\frac{1}{2}$ tablespoon equals 1.5 teaspoons.
- 8 tablespoons equals $\frac{1}{2}$ cup.
- $\frac{1}{4}$ cup equals 4 tablespoons.
- 1 cup equals 8 fluid ounces.
- 1 quart equals 2 pints.
- 12 tablespoons equals $\frac{3}{4}$ cup.
- 1 quart equals 4 cups.
- 1 gallon equals 16 cups.
- 1 cup equals 4 ($\frac{1}{4}$) cups.
- 5 tablespoons + 1 teaspoon equals $\frac{1}{3}$ cup.
$\boxed{3 tsp, 16 tbsp, 2 cups, 4 quarts, \frac{1}{2} cup, 2 tbsp, 1.5 tsp, \frac{1}{2} cup, 4 tbsp, 8 fl oz, 2 pints, \frac{3}{4} cup, 4 cups, 16 cups, 4 (\frac{1}{4}) cups, \frac{1}{3} cup}

### Explanation
1. Understanding the Problem
We need to find the equivalent values for the given unit conversions related to cooking measurements. Let's tackle each conversion step by step.

2. Tablespoon to Teaspoon
1 tablespoon (tbsp.) is equal to 3 teaspoons (tsp.). So, 1 tbsp = 3 tsp.

3. Cup to Tablespoon
1 cup is equal to 16 tablespoons. So, 1 cup = 16 tbsp.

4. Pint to Cup
1 pint (pt.) is equal to 2 cups. So, 1 pt = 2 cups.

5. Gallon to Quart
1 gallon is equal to 4 quarts. So, 1 gallon = 4 quarts.

6. Stick of Butter to Cup
1 stick of butter is equal to $\frac{1}{2}$ cup. So, 1 stick butter = $\frac{1}{2}$ cup.

7. Fraction of Cup to Tablespoon
$\frac{1}{8}$ cup is equal to 2 tablespoons. So, $\frac{1}{8}$ cup = 2 tbsp.

8. Fraction of Tablespoon to Teaspoon
$\frac{1}{2}$ tablespoon is equal to 1.5 teaspoons. So, $\frac{1}{2}$ tbsp. = 1.5 tsp.

9. Tablespoon to Cup
8 tablespoons is equal to $\frac{1}{2}$ cup. So, 8 tbsp. = $\frac{1}{2}$ cup.

10. Fraction of Cup to Tablespoon
$\frac{1}{4}$ cup is equal to 4 tablespoons. So, $\frac{1}{4}$ cup = 4 tbsp.

11. Cup to Fluid Ounce
1 cup is equal to 8 fluid ounces. So, 1 cup = 8 fl oz.

12. Quart to Pint
1 quart is equal to 2 pints. So, 1 quart = 2 pints.

13. Tablespoon to Cup
12 tablespoons is equal to $\frac{3}{4}$ cup. So, 12 tbsp. = $\frac{3}{4}$ cup.

14. Quart to Cup
1 quart is equal to 4 cups. So, 1 qt. = 4 cups.

15. Gallon to Cup
1 gallon is equal to 16 cups. So, 1 gallon = 16 cups.

16. Cup to Quarter Cups
1 cup is equal to 4$\frac{1}{4}$ cups. So, 1 cup = 4 ($\frac{1}{4}$) cups.

17. Tablespoon and Teaspoon to Cup
5 tablespoons + 1 teaspoon is equal to $\frac{1}{3}$ cup. We know that 1 tbsp = 3 tsp, so 5 tbsp = 15 tsp. Thus, 5 tbsp + 1 tsp = 15 tsp + 1 tsp = 16 tsp. Since 1 cup = 16 tbsp and 1 tbsp = 3 tsp, 1 cup = 48 tsp. Therefore, 16 tsp = $\frac{16}{48}$ cup = $\frac{1}{3}$ cup. So, 5 tbsp + 1 tsp = $\frac{1}{3}$ cup.

18. Final Answer
Here are the equivalents:

1 tablespoon = 3 tsp.
1 cup = 16 tablespoons
1 pt. = 2 cups
1 gallon = 4 quarts
1 stick butter = $\frac{1}{2}$ cup
$\frac{1}{8}$ cup = 2 tbsp.
$\frac{1}{2}$ tbsp. = 1.5 tsp.
8 tbsp. = $\frac{1}{2}$ cup
$\frac{1}{4}$ cup = 4 tbsp.
1 cup = 8 fluid oz.
1 quart = 2 pints
12 tbsp. = $\frac{3}{4}$ cup
1 qt. = 4 cups
1 gallon = 16 cups
1 cup = 4 1/4 cups
5 tbsp. +1 tsp. = $\frac{1}{3}$ cup

### Examples
In baking and cooking, accurate measurements are crucial for consistent results. Understanding these conversions allows you to scale recipes, substitute ingredients, and ensure your dishes turn out as expected. For example, if a recipe calls for 1/2 cup of butter but you only have tablespoons, knowing that 1 cup equals 16 tablespoons means you need 8 tablespoons of butter.