When we divide 10 by 3, we are essentially trying to find out how many times 3 can fit into 10. In fraction form, we can represent this operation as:
10 ÷ 3 = \( \frac{10}{3} \)
This indicates that 10 divided by 3 is equal to the fraction 10 over 3. We can also simplify this fraction if needed, but in this case, 10 and 3 share no common factors other than 1, making \( \frac{10}{3} \) already in its simplest form.
To express this division in a more understandable format, we could calculate it as a mixed number. Dividing 10 by 3 gives us 3 as the whole number, with a remainder of 1. Hence, we can express \( \frac{10}{3} \) as:
3 \( \frac{1}{3} \)
This means that when we divide 10 by 3, we have 3 whole parts and a fraction of one-third left over. Such a representation not only clarifies the division but also makes it easier to visualize the outcome.
In summary, 10 divided by 3 expressed as a fraction is \( \frac{10}{3} \), and as a mixed number, it is 3 \( \frac{1}{3} \).