How do you convert the improper fraction 15/4 into a mixed number?

To convert the improper fraction 15/4 into a mixed number, follow these simple steps:

  1. Divide the numerator by the denominator: Start by dividing 15 by 4. When you do this, 4 goes into 15 three times (because 4 x 3 = 12), leaving a remainder.
  2. Calculate the remainder: After multiplying, subtract 12 (the total from 4 x 3) from 15, which gives you a remainder of 3.
  3. Form the mixed number: The whole number part of your mixed number is the quotient (3), and the fractional part is formed from the remainder over the original denominator (3/4). So, you combine these to form the mixed number.
  4. Final Result: Therefore, 15/4 as a mixed number is 3 3/4.

This process is useful for simplifying fractions in a way that is often easier to visualize and understand, especially when dealing with everyday situations like cooking or measuring.

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