Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
The fraction
in simplest form is
.
Solution
-
Write the fraction:
-
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: -
Divide both the numerator and the denominator by the GCD:
-
The fraction in simplest form is:
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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!