Answer :
Sure! Let's solve each problem step-by-step using the information provided in the "Table of Equivalent Measures."
### Problem 11: [tex]\(\frac{3}{4}\)[/tex] cup = ? tablespoons
1. Convert cups to tablespoons using the conversion facts:
- 4 tablespoons = [tex]\(\frac{1}{4}\)[/tex] cup
- So, 1 cup = 16 tablespoons (since 4 tablespoons is [tex]\(\frac{1}{4}\)[/tex] cup, multiplying by 4 gives 16 tablespoons in a full cup).
2. Calculate tablespoons for [tex]\(\frac{3}{4}\)[/tex] cup:
- [tex]\(\frac{3}{4} \times 16 = 12\)[/tex] tablespoons.
### Problem 3: 1 gallon = ? pints
1. Convert gallons to pints using the conversion facts:
- 1 gallon = 8 pints.
### Problem 12: 5 tablespoons = ? cups
1. Convert tablespoons to cups using the conversion facts:
- 16 tablespoons = 1 cup (from the previous conversion).
- So, 5 tablespoons = [tex]\(\frac{5}{16}\)[/tex] of a cup.
### Convert [tex]\(\frac{1}{2}\)[/tex] cup = ? teaspoons
1. Convert cups to teaspoons:
- First, calculate tablespoons: [tex]\(\frac{1}{2}\)[/tex] cup = [tex]\(\frac{1}{2} \times 16 = 8\)[/tex] tablespoon.
- Since 1 tablespoon = 3 teaspoons, multiply: [tex]\(8 \times 3 = 24\)[/tex] teaspoons.
### Convert [tex]\(1 \frac{1}{4}\)[/tex] cups = ? tablespoons
1. Convert cups to tablespoons:
- [tex]\(1 \frac{1}{4}\)[/tex] cups is the same as [tex]\(1.25\)[/tex] cups.
- Calculate the tablespoons: [tex]\(1.25 \times 16 = 20\)[/tex] tablespoons.
### Problem 14: 7 pints = ? cups
1. Convert pints to cups using the conversion facts:
- 1 pint = 2 cups.
- So, 7 pints = [tex]\(7 \times 2 = 14\)[/tex] cups.
### Problem 16: 3 quarts = ? cups
1. Convert quarts to cups using the conversion facts:
- 1 quart = 4 cups.
- So, 3 quarts = [tex]\(3 \times 4 = 12\)[/tex] cups.
### Problem 18: [tex]\(\frac{1}{2}\)[/tex] gallon = ? cups
1. Convert gallons to cups using the conversion facts:
- 1 gallon = 16 cups.
- So, [tex]\(\frac{1}{2}\)[/tex] gallon = [tex]\(\frac{1}{2} \times 16 = 8\)[/tex] cups.
I hope this helps! If you have any more questions or need further clarification, feel free to ask!
### Problem 11: [tex]\(\frac{3}{4}\)[/tex] cup = ? tablespoons
1. Convert cups to tablespoons using the conversion facts:
- 4 tablespoons = [tex]\(\frac{1}{4}\)[/tex] cup
- So, 1 cup = 16 tablespoons (since 4 tablespoons is [tex]\(\frac{1}{4}\)[/tex] cup, multiplying by 4 gives 16 tablespoons in a full cup).
2. Calculate tablespoons for [tex]\(\frac{3}{4}\)[/tex] cup:
- [tex]\(\frac{3}{4} \times 16 = 12\)[/tex] tablespoons.
### Problem 3: 1 gallon = ? pints
1. Convert gallons to pints using the conversion facts:
- 1 gallon = 8 pints.
### Problem 12: 5 tablespoons = ? cups
1. Convert tablespoons to cups using the conversion facts:
- 16 tablespoons = 1 cup (from the previous conversion).
- So, 5 tablespoons = [tex]\(\frac{5}{16}\)[/tex] of a cup.
### Convert [tex]\(\frac{1}{2}\)[/tex] cup = ? teaspoons
1. Convert cups to teaspoons:
- First, calculate tablespoons: [tex]\(\frac{1}{2}\)[/tex] cup = [tex]\(\frac{1}{2} \times 16 = 8\)[/tex] tablespoon.
- Since 1 tablespoon = 3 teaspoons, multiply: [tex]\(8 \times 3 = 24\)[/tex] teaspoons.
### Convert [tex]\(1 \frac{1}{4}\)[/tex] cups = ? tablespoons
1. Convert cups to tablespoons:
- [tex]\(1 \frac{1}{4}\)[/tex] cups is the same as [tex]\(1.25\)[/tex] cups.
- Calculate the tablespoons: [tex]\(1.25 \times 16 = 20\)[/tex] tablespoons.
### Problem 14: 7 pints = ? cups
1. Convert pints to cups using the conversion facts:
- 1 pint = 2 cups.
- So, 7 pints = [tex]\(7 \times 2 = 14\)[/tex] cups.
### Problem 16: 3 quarts = ? cups
1. Convert quarts to cups using the conversion facts:
- 1 quart = 4 cups.
- So, 3 quarts = [tex]\(3 \times 4 = 12\)[/tex] cups.
### Problem 18: [tex]\(\frac{1}{2}\)[/tex] gallon = ? cups
1. Convert gallons to cups using the conversion facts:
- 1 gallon = 16 cups.
- So, [tex]\(\frac{1}{2}\)[/tex] gallon = [tex]\(\frac{1}{2} \times 16 = 8\)[/tex] cups.
I hope this helps! If you have any more questions or need further clarification, feel free to ask!
