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Answer :
Certainly! Let's solve the problem step-by-step.
### Step 1: Understand the Problem
You need to measure [tex]\(\frac{3}{4}\)[/tex] cup of flour, but you only have a tablespoon measure. We know that 1 tablespoon of flour is equivalent to [tex]\(\frac{1}{16}\)[/tex] cup of flour.
### Step 2: Writing the Equation
To find out how many tablespoons of flour make up [tex]\(\frac{3}{4}\)[/tex] cup, you need to divide [tex]\(\frac{3}{4}\)[/tex] by [tex]\(\frac{1}{16}\)[/tex].
The equation is:
[tex]\[
\frac{3}{4} \div \frac{1}{16}
\][/tex]
### Step 3: Solving the Equation
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of [tex]\(\frac{1}{16}\)[/tex] is 16, so we can rewrite the division as a multiplication:
[tex]\[
\frac{3}{4} \div \frac{1}{16} = \frac{3}{4} \times 16
\][/tex]
Now, perform the multiplication:
[tex]\[
\frac{3}{4} \times 16 = \frac{3 \times 16}{4} = \frac{48}{4} = 12
\][/tex]
### Step 4: Final Answer
You need 12 tablespoons of flour to make [tex]\(\frac{3}{4}\)[/tex] cup.
### Drawing the Picture
To visualize this, imagine [tex]\(\frac{3}{4}\)[/tex] cup as a measurement you need to fill with tablespoons each having [tex]\(\frac{1}{16}\)[/tex] cup.
1. Draw a cup and mark it as [tex]\(\frac{3}{4}\)[/tex] full.
2. Below the cup, draw individual spoonfuls (tablespoons) and each should be [tex]\(\frac{1}{16}\)[/tex] cup.
3. Keep adding these spoonfuls until the [tex]\(\frac{3}{4}\)[/tex] cup is filled.
This should illustrate that you need 12 tablespoons to fill [tex]\(\frac{3}{4}\)[/tex] cup.
So, the answer to the question is 12 tablespoons.
### Step 1: Understand the Problem
You need to measure [tex]\(\frac{3}{4}\)[/tex] cup of flour, but you only have a tablespoon measure. We know that 1 tablespoon of flour is equivalent to [tex]\(\frac{1}{16}\)[/tex] cup of flour.
### Step 2: Writing the Equation
To find out how many tablespoons of flour make up [tex]\(\frac{3}{4}\)[/tex] cup, you need to divide [tex]\(\frac{3}{4}\)[/tex] by [tex]\(\frac{1}{16}\)[/tex].
The equation is:
[tex]\[
\frac{3}{4} \div \frac{1}{16}
\][/tex]
### Step 3: Solving the Equation
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of [tex]\(\frac{1}{16}\)[/tex] is 16, so we can rewrite the division as a multiplication:
[tex]\[
\frac{3}{4} \div \frac{1}{16} = \frac{3}{4} \times 16
\][/tex]
Now, perform the multiplication:
[tex]\[
\frac{3}{4} \times 16 = \frac{3 \times 16}{4} = \frac{48}{4} = 12
\][/tex]
### Step 4: Final Answer
You need 12 tablespoons of flour to make [tex]\(\frac{3}{4}\)[/tex] cup.
### Drawing the Picture
To visualize this, imagine [tex]\(\frac{3}{4}\)[/tex] cup as a measurement you need to fill with tablespoons each having [tex]\(\frac{1}{16}\)[/tex] cup.
1. Draw a cup and mark it as [tex]\(\frac{3}{4}\)[/tex] full.
2. Below the cup, draw individual spoonfuls (tablespoons) and each should be [tex]\(\frac{1}{16}\)[/tex] cup.
3. Keep adding these spoonfuls until the [tex]\(\frac{3}{4}\)[/tex] cup is filled.
This should illustrate that you need 12 tablespoons to fill [tex]\(\frac{3}{4}\)[/tex] cup.
So, the answer to the question is 12 tablespoons.
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