Final answer:
To add 5(7/8) and 7(7/8), add the whole numbers (5+7) and then add the fractions (7/8 + 7/8). Simplify the resulting fraction to obtain the mixed number 13 3/4.
Step-by-step explanation:
The question asks to add two mixed numbers: 5(7/8) and 7(7/8). When adding fractions with the same denominator, you can add the numerators directly and keep the same denominator.
Step 1: Add the whole numbers.
5 + 7 = 12.
Step 2: Add the fractions.
7/8 + 7/8 = 14/8. This can be simplified by dividing numerator and denominator by 8, which gives us 1 6/8.
Step 3: Combine the results of step 1 and step 2.
12 (the whole number) + 1 6/8 (the fraction simplified) gives us 13 6/8.
Step 4: Simplify further if possible.
Since 6/8 can be reduced to 3/4 by dividing both numerator and denominator by 2, the final mixed number is 13 3/4.