What is 3/4 of a 1/2

General
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what is 3/4 of a 1/2

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What is \frac{3}{4} of \frac{1}{2} ?

Answer: To find \frac{3}{4} of \frac{1}{2} , we need to perform a simple multiplication of fractions. Here’s how you can do it step by step:

  1. Understand the problem:

    • “3/4 of 1/2” means we need to multiply \frac{3}{4} by \frac{1}{2} .

  2. Multiply the numerators:

    • The numerators are the numbers on top of the fraction. Here, \frac{3}{4} has a numerator of 3, and \frac{1}{2} has a numerator of 1.
    • Multiply these together: 3 \times 1 = 3 .

  3. Multiply the denominators:

    • The denominators are the numbers on the bottom of the fraction. Here, \frac{3}{4} has a denominator of 4, and \frac{1}{2} has a denominator of 2.
    • Multiply these together: 4 \times 2 = 8 .

  4. Combine the results:

    • The fraction formed from these calculations is \frac{3}{8} .

So, \frac{3}{4} of \frac{1}{2} is \frac{3}{8} .

If you’d like to see this mathematically, here’s the process in a more formal notation:

\frac{3}{4} \times \frac{1}{2} = \frac{3 \times 1}{4 \times 2} = \frac{3}{8}

Therefore, the final result is \boxed{\frac{3}{8}}.