How to Write an Improper Fraction as a Mixed Number

To convert an improper fraction into a mixed number, follow these simple steps:

1. Identify the numerator and denominator: The numerator is the top number of the fraction, and the denominator is the bottom number.
2. Divide the numerator by the denominator: Perform the division to find out how many whole numbers fit into the fraction. The quotient will be the whole number part of your mixed number.
3. Find the remainder: After dividing, take note of the remainder, which is the part of the fraction that is left over.
4. Construct the mixed number: The mixed number is formed by combining the whole number from your division with a fraction made up of the remainder over the original denominator.

Example: Let’s convert the improper fraction 7/4.

1. Divide 7 by 4, which is 1 with a remainder of 3.
2. The whole number part is 1, and the remainder is 3.
3. The denominator remains 4, so the fractional part is 3/4.

Thus, 7/4 as a mixed number is 1 3/4.