Short Answer 
To understand and calculate fractions, identify the desired amount as a fraction, such as 3/4 of a cup. To achieve this using 1/2 cup servings, set up and solve the equation 1/2 * x = 3/4, which results in needing 1.5 or 1.5 times a 1/2 cup to make 3/4 cup.
Step 1: Understanding Fractions
A fraction represents a part of a whole and is expressed as two numbers separated by a slash. The upper part is called the numerator, which indicates how many parts are taken, and the lower part is the denominator, representing the total number of equal parts in a whole. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.
Step 2: Determine Your Needs
To find out how much of a cup you need, start by identifying the desired amount as a fraction. In this case, if we want to achieve 3/4 of a cup, we must figure out how many servings of another quantity (like 1/2 cup) are needed to reach that total. We will use the equation:
- Let x = the number of 1/2 cups needed.
- Set up the equation: 1/2 * x = 3/4.
Step 3: Solving the Equation
To find the value of x, solve the equation from Step 2. Start by rearranging the equation:
- Multiply both sides by 2 to eliminate the fraction: x = (3/4)*2.
- Simplifying gives x = 3/2.
- This translates to needing 1.5 or 1.5 times a 1/2 cup to make 3/4 cup .