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How many 1/2 cups are needed to make 3/4 of …

Mathematics Questions

How many 1/2 cups are needed to make 3/4 of a cup?

Short Answer

To find how many **1/2 cup** measurements equal **3/4 cup**, set up the equation **1/2 x n = 3/4**. Solving for **n** gives **1.5**, meaning you need **1 and 1/2** of the **1/2 cup** measurements to reach **3/4 cup**.

Step-by-Step Solution

Step 1: Understanding the Requirement

To determine how many times you need a 1/2 cup measurement to equal 3/4 cup, start by setting up a mathematical equation. You are essentially trying to find out how many 1/2 cups (let’s call this n) are needed to make 3/4 cups. It’s crucial to establish a relationship between these measurements to proceed.

Step 2: Setting Up the Equation

Once you know what you’re trying to find, create the equation based on the information you have. The equation will be: 1/2 x n = 3/4. This equation specifies that multiplying the number of 1/2 cups by their volume must equal 3/4 cup. From here, you can manipulate the equation mathematically.

Step 3: Solving for n

Now, solve for n to find out how many 1/2 cups are necessary. You can do this by rearranging the equation with the following steps:

  • Multiply both sides by 2/1 to isolate n: n = 3/4 x 2/1
  • Calculate to find that n equals 3/2.
  • This means you need 1.5 (or 1 and 1/2) of the 1/2-cup measurements to make 3/4 of a cup.

Related Concepts

Measurement

A unit used to quantify the volume or amount of an ingredient, typically referred to in cooking or baking scenarios, such as cups, tablespoons, etc.

Equation

A mathematical statement that asserts the equality of two expressions, often used to solve for unknown variables by manipulation.

Algebra

A branch of mathematics dealing with symbols and the rules for manipulating those symbols, often used to express equations and solve for unknowns.