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Simplify the following expression:

\[ \frac{13}{15} - \frac{1}{6} \]

Answer :

Final answer:

The simplified form of the expression 13/15 - 1/6 is 7/10. This is found by converting both fractions to fractions over a common denominator of 30, then subtracting them and simplifying the result.

Explanation:

The question is asking for the simplified form of the mathematical expression 13/15 - 1/6. Because these two fractions use different denominators (15 and 6), we need to find a common denominator before we can subtract them.

The least common multiple of 15 and 6 is 30, so we can convert both fractions to fractions over 30. To convert 13/15 to a fraction over 30, we multiply both the numerator and denominator by 2, to get 26/30. Similarly, to convert 1/6 to a fraction over 30, we multiply both the numerator and denominator by 5, to get 5/30.

Based on this, the expression 13/15 - 1/6 becomes 26/30 - 5/30. When we subtract these two fractions, we get 21/30. This is our answer, but we can further simplify it by dividing both the numerator and the denominator by their greatest common divisor, which is 3, to get 7/10.

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