Problem

Subtract.
\[
\frac{5}{6}-\frac{3}{5}
\]
Write your answer as a fraction in simplest form.

Answer

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Answer

Final Answer: The result of the subtraction is \(\boxed{\frac{7}{30}}\).

Steps

Step 1 :Given the problem, we need to subtract the fractions \(\frac{5}{6}\) and \(\frac{3}{5}\).

Step 2 :To subtract fractions, we need to have a common denominator. The common denominator of 6 and 5 is 30.

Step 3 :So, we need to convert both fractions to have this common denominator. We get \(\frac{25}{30}\) and \(\frac{18}{30}\).

Step 4 :Then, we can subtract the numerators. We get \(\frac{25}{30} - \frac{18}{30} = \frac{7}{30}\).

Step 5 :After that, we simplify the fraction if possible. In this case, the fraction is already in its simplest form.

Step 6 :Final Answer: The result of the subtraction is \(\boxed{\frac{7}{30}}\).

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