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Answer :
We start with the subtraction:
[tex]$$
\frac{13}{15} - \frac{7}{15} = \frac{13-7}{15} = \frac{6}{15}.
$$[/tex]
Next, we simplify the fraction. To do this, we find the greatest common divisor (GCD) of 6 and 15, which is 3. We then divide the numerator and denominator by 3:
[tex]$$
\frac{6}{15} = \frac{6 \div 3}{15 \div 3} = \frac{2}{5}.
$$[/tex]
Thus, the answer in its simplest form is:
[tex]$$
\frac{2}{5}.
$$[/tex]
[tex]$$
\frac{13}{15} - \frac{7}{15} = \frac{13-7}{15} = \frac{6}{15}.
$$[/tex]
Next, we simplify the fraction. To do this, we find the greatest common divisor (GCD) of 6 and 15, which is 3. We then divide the numerator and denominator by 3:
[tex]$$
\frac{6}{15} = \frac{6 \div 3}{15 \div 3} = \frac{2}{5}.
$$[/tex]
Thus, the answer in its simplest form is:
[tex]$$
\frac{2}{5}.
$$[/tex]
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