To convert the mixed number 1 4/5 into an improper fraction, we need to follow a simple process. A mixed number consists of a whole number and a proper fraction. In this case, the whole number is 1 and the fraction is 4/5.
First, we multiply the whole number (1) by the denominator of the fraction (5):
1 × 5 = 5
Next, we add the result to the numerator of the original fraction (4):
5 + 4 = 9
Now, we place this result over the original denominator (5):
So, 1 4/5 = 9/5
Therefore, the improper fraction equivalent of 1 4/5 is 9/5.