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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

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Solution

Calculate or simplify the expression .
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 of and is or in fraction form.

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Simplify this solution

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,

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