To convert the improper fraction 14/9 into a mixed number, we need to follow a few straightforward steps.
First, we divide the numerator (14) by the denominator (9). When we do this:
- 14 divided by 9 equals 1, since 9 goes into 14 one time.
- This leaves us with a remainder. To find the remainder, we can calculate: 14 – (9 x 1) = 14 – 9 = 5.
Now that we have our quotient and remainder, we can express 14/9 as a mixed number. The integer part of the mixed number is the quotient we found, and the fractional part is formed from the remainder over the original denominator.
Thus, we can write:
14/9 = 1 5/9
In this mixed number:
- 1 is the whole number part,
- 5/9 is the fractional part.
So, 14/9 expressed as a mixed number is 1 5/9.