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The first step in adding mixed numbers involves working with the whole numbers. Mixed numbers have both a whole part and a fractional part.
In the given exercise, the whole numbers are 6 and 8.
When you add 6 and 8 together, you get 14.
This part is straightforward because it's just like any other basic addition problem.
Remember to keep the result of this whole number addition separate until you combine it with your fraction results in a later step.

When adding fractions, it's essential to check their denominators. If they have the same denominator, you can proceed by adding the numerators directly.
In this exercise, both fractions have a denominator of 10: \(\frac{9}{10} + \frac{3}{10}\). This makes the process simple.
Add the numerators together: 9 + 3 = 12.
Therefore, \(\frac{9}{10} + \frac{3}{10} = \frac{12}{10}\).
This step is a fundamental concept of fraction addition and becomes easy when the denominators are already the same.

After obtaining a fraction from adding the numerators, you might need to simplify it.
Simplifying fractions means making the fraction as simple as possible.
For \(\frac{12}{10}\), you simplify by finding the greatest common divisor (GCD) of the numerator and the denominator, which is 2 in this case.
Divide both the numerator and the denominator by 2: \(\frac{12 \div 2}{10 \div 2} = \frac{6}{5}\).
Since \(\frac{6}{5}\) is an improper fraction (the numerator is larger than the denominator), it can be converted into a mixed number, which is 1 \(\frac{1}{5}\).
Finally, combine it with your whole numbers addition from the earlier step: 14 + 1 \(\frac{1}{5}\) = 15 \(\frac{1}{5}\). This completes the addition process of mixed numbers.