Here's how to change an improper fraction to a mixed number, explained simply for 4th graders:
To change an improper fraction to a mixed number, you divide the numerator (the top number) by the denominator (the bottom number). The quotient (the answer to the division) becomes the whole number part of the mixed number. The remainder becomes the new numerator, and you keep the same denominator.
Here's a breakdown with examples:
- Divide: Divide the numerator by the denominator.
- Whole Number: The whole number part of your mixed number is the quotient (the result of the division).
- New Numerator: The remainder of the division becomes the numerator of the fractional part of the mixed number.
- Keep the Denominator: The denominator of the improper fraction stays the same for the fractional part of the mixed number.
Example 1:
Let's convert the improper fraction 25/7 (25 sevenths) into a mixed number (Reference).
- Divide: 25 ÷ 7 = 3 with a remainder of 4.
- Whole Number: The whole number is 3.
- New Numerator: The remainder is 4, so the new numerator is 4.
- Keep the Denominator: The denominator stays as 7.
So, 25/7 is equal to 3 4/7 (three and four sevenths).
Example 2:
Let's convert the improper fraction 31/6 (31 sixths) into a mixed number (Reference).
- Divide: 31 ÷ 6 = 5 with a remainder of 1.
- Whole Number: The whole number is 5.
- New Numerator: The remainder is 1, so the new numerator is 1.
- Keep the Denominator: The denominator stays as 6.
So, 31/6 is equal to 5 1/6 (five and one sixth).