How to convert improper fraction to mixed number?

Answer: To convert an improper fraction to a mixed number, divide the numerator by the denominator, the quotient becomes the whole number, and the remainder becomes the numerator of the fractional part with the same denominator.

Explanation with examples:

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

1. Divide the numerator (the top number) by the denominator (the bottom number).
2. The quotient obtained from the division represents the whole number part of the mixed number.
3. The remainder of the division becomes the numerator of the fractional part.
4. The original denominator remains the denominator of the fractional part.

Let’s illustrate this process with an example using the improper fraction 7/3:

1. Divide the numerator (7) by the denominator (3): 7 ÷ 3 = 2 with a remainder of 1.
2. The quotient, 2, becomes the whole number part of the mixed number.
3. The remainder, 1, becomes the numerator of the fractional part.
4. The original denominator, 3, remains the denominator of the fractional part.

Therefore, the mixed number equivalent to the improper fraction 7/3 is 2 1/3.

Another example would be the improper fraction 11/4:

1. Divide the numerator (11) by the denominator (4): 11 ÷ 4 = 2 with a remainder of 3.
2. The quotient, 2, becomes the whole number part of the mixed number.
3. The remainder, 3, becomes the numerator of the fractional part.
4. The original denominator, 4, remains the denominator of the fractional part.

Hence, the mixed number equivalent to the improper fraction 11/4 is 2 3/4.

In summary, converting an improper fraction to a mixed number involves dividing the numerator by the denominator, using the quotient as the whole number, and expressing any remainder as the fractional part with the same denominator