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Austin jogs 4 1/8 miles from his house. He then jogs 2 2/3 miles farther. How many miles has Austin jogged in all? Write your answer as a mixed number in simplest form.

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Answer:

6 19/24

Explanation:

To get our answer, we need to add 4 1/8 and 2 2/3. To do this, we need to find the LCM of 8 and 3, when we do some math, we know this is 24. Now, we need to convert 4 1/8 and 2 2/3 to improper fraction form. When we do this, we get 33/8 and 8/3. Now, we mulitply 33/8 by 3/3. When we do this, we get 99/24. Now, let's multiply 8/3 by 8/8. When we do this, we get 64/24. Now, let's add 64/24 and 99/24 (make sure not to add the bottom numbers). When we do this, we get 163/24. Let's simplify. Divide 163 by 24. When we do this, we get 6 with a remainder of 19. In mixed number form, 6 will be our whole number, 24 will be the denominator, and 19 will be the numerator. Let's write this out. When we do that, we get 6 19/24. Since 19 is a prime number, we can't simplify it any more than that, so 6 19/24 is our answer. I hope this helps!

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