To convert the mixed number 4 5/3 into a fraction, begin by focusing on the whole number and the fractional part separately.
The whole number is 4, which can be expressed as a fraction with the same denominator as the fractional part. The denominator of the fractional part, 5/3, is 3. Therefore, we rewrite 4 as:
4 = 4/1 = (4 × 3)/(1 × 3) = 12/3
Now, we can add this to the fractional part. We have:
12/3 + 5/3 = (12 + 5)/3 = 17/3
So, when you write 4 5/3 as a fraction without decimals, it becomes:
17/3