High School

If 4 tablespoons are equal to [tex]\frac{1}{4}[/tex] cup, how many tablespoons will equal 1 cup?

Answer :

Sure, let's solve the problem step-by-step:

We are given that 4 tablespoons are equal to [tex]$\frac{1}{4}$[/tex] cup. We need to determine how many tablespoons will equal 1 full cup.

1. First, note the relationship provided in the question:
[tex]\[
4 \text{ tablespoons} = \frac{1}{4} \text{ cup}
\][/tex]

2. To find out how many tablespoons are in a whole cup, we need to figure out how many [tex]$\frac{1}{4}$[/tex] cups are in 1 cup.

3. Since [tex]\(\frac{1}{4}\)[/tex] cup is one-fourth of a cup, the number of these quarters in a whole cup is:
[tex]\[
1 \text{ cup} = 4 \times \left(\frac{1}{4} \text{ cup}\right)
\][/tex]

4. Since 4 tablespoons make up [tex]\(\frac{1}{4}\)[/tex] cup, we can multiply this by 4 to find out how many tablespoons are in the whole cup:
[tex]\[
4 \text{ tablespoons} \times 4 = 16 \text{ tablespoons}
\][/tex]

Thus, 1 cup is equal to 16 tablespoons.