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What is 10 4/5 + 4 3/4?

User Shmygol
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4 votes

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.

User Mgottsch
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