Question
Add. Simplify your answer and write it as a fraction or as a whole or mixed numbe
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Ask by Schultz Gough. in the United States
Mar 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
Calculate or simplify the expression
.
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
- step1: Convert the expressions:
- step2: Simplify:
- step3: Reduce fractions to a common denominator:
- step4: Multiply the numbers:
- step5: Transform the expression:
- step6: Multiply the numbers:
- step7: Add the numbers:
The sum ofand is or in fraction form.
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Beyond the Answer
First, let’s convert the mixed numbers to improper fractions. For
, multiply the whole number 9 by 12 and add 10, which gives us
. For
, we multiply 2 by 3 and add 1, resulting in
.
Now we need a common denominator to add the two fractions. The least common denominator of 12 and 3 is 12. We can convert
to have the same denominator:
.
Now we add the two fractions together:
Next, we can simplify
by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
Now, we can convert
into a mixed number. Dividing 73 by 6 gives us 12 as the whole number and a remainder of 1. Thus, we write this as:
Therefore,