To convert the mixed number 10 1/3 into an improper fraction, you need to follow a few simple steps.
First, take the whole number part of the mixed number, which is 10, and multiply it by the denominator of the fractional part, which is 3. This gives you:
10 × 3 = 30
Next, you add the numerator of the fractional part, which is 1, to the result:
30 + 1 = 31
This sum becomes the numerator of your improper fraction. The denominator remains the same, which is 3. Therefore, you can write:
10 1/3 = 31/3
So, 10 1/3 as an improper fraction is 31/3.