Final answer:
The sum of -8 3/8 and -10 1/6 is -18 13/24 after converting to a common denominator and adding the fractions and whole numbers. Option 1 is correct.
Step-by-step explanation:
To find the sum of -8 3/8 and -10 1/6, you need to add the two negative mixed numbers.
First, convert the fractions to have a common denominator, which is 24 in this case.
Then, add the numerators while keeping the common denominator.
Finally, combine the whole numbers and the fractions for your final answer.
Here are the steps:
- Convert the fractions: -8 3⁄8 becomes -8 9⁄24 and -10 1⁄6 becomes -10 4⁄24.
- Add the fractions: 9⁄24 + 4⁄24 = 13⁄24.
- Add the whole numbers: -8 + (-10) = -18.
- Combine the whole number and fraction: -18 + 13⁄24 = -18 13/24.
- Simplify if possible. In this case, 13/24 cannot be simplified further.
Therefore, the sum of -8 3/8 and -10 1/6 is -18 13/24. Option 1 is correct.
Complete question:
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What is the sum of -8 3/8 and -10 1/6? 1) -18 13/24 2) -18 2/24 3) -18 5/8 4) -18 2/3