To add the mixed numbers [tex]\(7 \frac{7}{10}\)[/tex] and [tex]\(7 \frac{2}{10}\)[/tex], we can follow these steps:
1. Convert the mixed numbers to improper fractions:
- The mixed number [tex]\(7 \frac{7}{10}\)[/tex] can be broken down into the whole number part (7) and the fractional part ([tex]\(\frac{7}{10}\)[/tex]).
- Combine these parts by rewriting [tex]\(7\)[/tex] as [tex]\(7 + \frac{7}{10}\)[/tex].
Similarly,
- The mixed number [tex]\(7 \frac{2}{10}\)[/tex] can be broken down into the whole number part (7) and the fractional part ([tex]\(\frac{2}{10}\)[/tex]).
- Combine these parts by rewriting [tex]\(7\)[/tex] as [tex]\(7 + \frac{2}{10}\)[/tex].
2. Add the whole numbers and fractions separately:
- Add the whole number parts: [tex]\(7 + 7 = 14\)[/tex].
- Add the fractional parts: [tex]\(\frac{7}{10} + \frac{2}{10} = \frac{9}{10}\)[/tex].
3. Combine the results:
- The sum of the whole numbers and fractions is: [tex]\(14 + \frac{9}{10}\)[/tex].
4. Express the combined result as a decimal or improper fraction:
[tex]\(14 + \frac{9}{10}\)[/tex] can be written as:
- In decimal form: [tex]\(14.9\)[/tex].
Thus, the sum of [tex]\(7 \frac{7}{10}\)[/tex] and [tex]\(7 \frac{2}{10}\)[/tex] is [tex]\(14.9\)[/tex].
