10. Find the missing numbers

To solve for the missing numbers in the equation , let’s first convert all the mixed numbers to improper fractions.

Now, we can rewrite the equation as:

Next, we need to isolate the square term :

To subtract these fractions, we need a common denominator. The least common multiple of 5 and 15 is 15. Therefore, we convert to have a denominator of 15:

Now we substitute this into the equation:

At this point, we know that:

To express as an improper fraction, we identify the missing numbers. The first square corresponds to the integer part, which we can denote as . The second square corresponds to the numerator, denoted as . We can express it as:

We set this equal to :

We can determine integer values for and by trial. Starting with :

Thus, we find:

Finally, the missing numbers are:

Overall, we conclude that: