How Can You Convert a Fraction into a Mixed Number?

You can convert a fraction into a mixed number if and only if the fraction is an improper fraction, meaning the numerator (top number) is greater than or equal to the denominator (bottom number). Here's how:

1. Divide the numerator by the denominator. This division will give you a whole number quotient and a remainder.
2. Write down the whole number quotient. This becomes the whole number part of the mixed number.
3. Write down the remainder as the new numerator. Keep the original denominator the same. This forms the fractional part of the mixed number.
4. Combine the whole number and the new fraction to form the mixed number.

Example:

Let's convert the improper fraction 7/3 into a mixed number.

1. Divide: 7 ÷ 3 = 2 with a remainder of 1.
2. Whole number: The whole number quotient is 2.
3. New fraction: The remainder is 1, so the new numerator is 1. The denominator stays as 3. The fraction is 1/3.
4. Mixed number: The mixed number is 2 1/3.

Therefore, 7/3 is equal to 2 1/3.