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(1/2 + 1/4)3/4 Answer

2 min read Jun 16, 2024
(1/2 + 1/4)3/4 Answer

Simplifying Fractions: (1/2 + 1/4)3/4

This problem involves simplifying fractions and then multiplying them. Here's a step-by-step solution:

Step 1: Finding a Common Denominator

  • The fractions inside the parentheses have different denominators. To add them, we need a common denominator.
  • The least common denominator for 2 and 4 is 4.
  • Convert 1/2 to 2/4 (multiply numerator and denominator by 2).

Now the problem becomes: (2/4 + 1/4) 3/4

Step 2: Adding Fractions

  • Now that the denominators are the same, we can add the numerators directly.
  • (2/4 + 1/4) = 3/4

The problem is now: (3/4) 3/4

Step 3: Multiplying Fractions

  • To multiply fractions, multiply the numerators together and the denominators together.
  • (3/4) * (3/4) = (3 * 3) / (4 * 4)

Step 4: Simplifying the Result

  • (3 * 3) / (4 * 4) = 9/16

Therefore, (1/2 + 1/4)3/4 simplifies to 9/16.

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