Question
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Write the fraction in simplest form.

Ask by Brooks Ingram. in the United States
Mar 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The fraction in simplest form is .

Solution

  1. Write the fraction:
  2. Find the greatest common divisor (GCD) of 30 and 36. The factors of 30 are , , and ; the factors of 36 are and . Thus, the GCD is:
  3. Divide both the numerator and the denominator by the GCD:
  4. The fraction in simplest form is:

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Bonus Knowledge

To simplify the fraction , we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 30 and 36 is 6. Now, we divide both the numerator and the denominator by their GCD:
.
So, the simplest form of is .
To check our work, we can multiply back to get . Since both 5 and 6 share no common factors other than 1, we know we’ve simplified correctly!

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