To convert an improper fraction (where the numerator is greater than or equal to the denominator) into a mixed number, you determine how many whole times the denominator goes into the numerator, and then express the remainder as a fraction. Here's a breakdown:
Steps to Convert an Improper Fraction to a Mixed Number:
- Divide the numerator by the denominator. This division tells you how many whole numbers you have.
- Identify the quotient and the remainder. The quotient (the result of the division) becomes the whole number part of the mixed number.
- Write the remainder as a fraction. The remainder becomes the new numerator, and the original denominator stays the same.
- Combine the whole number and the new fraction. This is your mixed number.
Example:
Let's say you want to convert the improper fraction 7/3 to a mixed number.
- Divide: 7 รท 3 = 2 with a remainder.
- Quotient and Remainder: The quotient is 2, and the remainder is 1.
- Remainder as a fraction: The remainder, 1, becomes the numerator, and the original denominator, 3, stays the same. So the fraction is 1/3.
- Mixed Number: Combine the whole number (2) and the fraction (1/3). The mixed number is 2 1/3.
Therefore, 7/3 is equal to 2 1/3.
