High School

A banana bread recipe calls for [tex]$\frac{3}{4}$[/tex] cup of butter. One tablespoon equals [tex]$\frac{1}{16}$[/tex] cup. How many tablespoons of butter are needed to make the banana bread?

Answer :

To determine how many tablespoons of butter are needed for the banana bread recipe, we can follow these steps:

1. Identify the amount of butter needed in cups.
The recipe calls for [tex]\(\frac{3}{4}\)[/tex] cup of butter.

2. Know the conversion between cups and tablespoons.
One tablespoon equals [tex]\(\frac{1}{16}\)[/tex] cup.

3. Calculate how many tablespoons are in [tex]\(\frac{3}{4}\)[/tex] cup:

To find out how many [tex]\(\frac{1}{16}\)[/tex] cup portions are in [tex]\(\frac{3}{4}\)[/tex] cup, we will divide [tex]\(\frac{3}{4}\)[/tex] by [tex]\(\frac{1}{16}\)[/tex]:

[tex]\[
\text{Number of tablespoons} = \frac{\frac{3}{4} \text{ cup}}{\frac{1}{16} \text{ cup}}
\][/tex]

4. Perform the division:

Dividing fractions involves multiplying by the reciprocal. So, we convert [tex]\(\frac{1}{16}\)[/tex] into its reciprocal, which is 16, and then multiply:

[tex]\[
\text{Number of tablespoons} = \frac{3}{4} \times 16
\][/tex]

5. Simplify the multiplication:

[tex]\[
\text{Number of tablespoons} = \frac{3 \times 16}{4} = \frac{48}{4} = 12
\][/tex]

Hence, [tex]\(\frac{3}{4}\)[/tex] cup of butter is equal to 12 tablespoons of butter. So, you would need 12 tablespoons of butter to make the banana bread.