To convert the improper fraction 25/3 into a mixed number, follow these steps:
- Divide the numerator (25) by the denominator (3).
- The whole number part of the mixed number is the quotient of this division.
- Calculate the numerator of the fractional part by finding the remainder of this division.
- The remainder becomes the new numerator, and the denominator remains the same (3).
Now, let’s do the math:
Step 1: Perform the division: 25 ÷ 3 = 8
(since 3 goes into 25 a total of 8 times).
Step 2: Calculate the remainder: 25 - (3 × 8) = 25 - 24 = 1
.
Therefore, the whole number is 8 and the remainder is 1.
Step 3: Now, we form the mixed number by combining the whole number with the fractional part:
The mixed number representation of 25/3 is 8 1/3.
So, 25/3
as a mixed number is 8 1/3.