Answer:
15.55.
Explanation:
To solve the addition problem 10 4/5 + 4 3/4, we need to first convert the mixed numbers to improper fractions.
10 4/5 can be written as 10 + 4/5. Multiplying the whole number 10 by the denominator 5, we get 50. Adding the numerator 4 to 50, we get 54. So, 10 4/5 is equivalent to 54/5.
Similarly, 4 3/4 can be written as 4 + 3/4. Multiplying the whole number 4 by the denominator 4, we get 16. Adding the numerator 3 to 16, we get 19. So, 4 3/4 is equivalent to 19/4.
Now, we can add the two fractions:
54/5 + 19/4
To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 5 and 4 is 20.
To convert the fractions to have a denominator of 20, we multiply the numerator and denominator of the first fraction by 4 (to get 216/20) and the numerator and denominator of the second fraction by 5 (to get 95/20).
Now, we can add the fractions:
216/20 + 95/20 = (216 + 95)/20 = 311/20
So, 10 4/5 + 4 3/4 is equal to 311/20.
Alternatively, we can convert the mixed numbers to decimals and then add them.
10 4/5 can be written as 10.8 (because 4/5 is equal to 0.8).
4 3/4 can be written as 4.75 (because 3/4 is equal to 0.75).
Adding 10.8 and 4.75, we get 15.55.
Therefore, 10 4/5 + 4 3/4 is equal to 15.55.