Step  1: 
Convert 3 3/4 cups to an improper fraction: 

\(3 \frac { 3} { 4} = \frac { 15} { 4} \). 
 

Step 2:

Each fill is 1/4 cup. 
 

Step 3:

Divide the total cups by the measuring cup size: 

\(\frac { 15} { 4} \div \frac { 1} { 4} = 15\). 
 

Step 4:

Therefore, you need to fill the measuring cup 15 times.

Supplemental Knowledge:

To determine how many times you need to fill a 1/4 cup measuring cup to get a total of 3 3/4 cups of milk, you can use division. Specifically, you need to divide the total amount of milk required by the capacity of the measuring cup.

Here's how to do it step-by-step:

1. Convert the mixed number (3 3/4) to an improper fraction. 
2. Divide this improper fraction by the fraction representing the measuring cup's capacity (1/4).

Step-by-step: 
1. Convert 3 3/4 to an improper fraction: 
\[3 \frac { 3} { 4} = 3+ \frac { 3} { 4} = \frac { 12} { 4} + \frac { 3} { 4} =    \frac { 15} { 4} \]
2. Divide \(\frac { 15} { 4} \) by \(\frac { 1} { 4} \): 
\[\frac { 15} { 4} ÷ \frac { 1} { 4} \]

3. When dividing fractions, multiply by the reciprocal of the divisor: 
\[\frac { 15} { 4} × \frac { 4} { 1} = 15\]

So, you will need to fill the 1/4 cup measuring cup 15 times.

From Concepts to Reality:

Imagine you're in your kitchen making a recipe requiring precise measurements but only have a small measuring cup available - knowing how to convert and divide fractions will allow you to still follow it exactly without additional tools being required for accuracy.

When working on DIY projects that involve mixing ingredients in specific ratios, understanding fractional measurements is vital in order to quickly accomplishing desired results.

Need help with fraction calculations for your recipes or projects? UpStudy’s Fractions Calculator can simplify complex fraction operations! With UpStudy’s tools and expert guidance, mastering arithmetic becomes easy and intuitive. Explore our calculators today to enhance your learning experience!