Question
Add
. Simplify the answer and write as a mixed number.
Ask by Ellis Hammond. in the United States
Dec 18,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
To add the fractions
and
and express the result as a simplified mixed number, follow these steps:
-
Find a Common Denominator:The denominators are 8 and 5. The least common denominator (LCD) of 8 and 5 is 40.
-
Convert Each Fraction:
-
Add the Fractions:
-
Simplify as a Mixed Number:
can be rewritten as: This is becausegoes into once with a remainder of .
Final Answer:
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
To add
, we first need a common denominator. The least common multiple of 8 and 5 is 40.
Now, convert each fraction:
Now, add the two fractions:
The fraction
can be expressed as a mixed number. To convert this, divide 57 by 40:
- 57 divided by 40 is 1, with a remainder of 17.
Thus, we can write:
So, the final answer is
.