Answer :
We start with the subtraction of two fractions that have a common denominator:
[tex]$$
\frac{13}{15} - \frac{4}{15} = \frac{13-4}{15} = \frac{9}{15}.
$$[/tex]
Next, we simplify the fraction [tex]$\frac{9}{15}$[/tex]. To do this, we find the greatest common divisor (GCD) of 9 and 15. The GCD of 9 and 15 is 3. Dividing both the numerator and the denominator by 3 gives:
[tex]$$
\frac{9 \div 3}{15 \div 3} = \frac{3}{5}.
$$[/tex]
Thus, the simplified form of [tex]$\frac{13}{15} - \frac{4}{15}$[/tex] is:
[tex]$$
\frac{3}{5}.
$$[/tex]
[tex]$$
\frac{13}{15} - \frac{4}{15} = \frac{13-4}{15} = \frac{9}{15}.
$$[/tex]
Next, we simplify the fraction [tex]$\frac{9}{15}$[/tex]. To do this, we find the greatest common divisor (GCD) of 9 and 15. The GCD of 9 and 15 is 3. Dividing both the numerator and the denominator by 3 gives:
[tex]$$
\frac{9 \div 3}{15 \div 3} = \frac{3}{5}.
$$[/tex]
Thus, the simplified form of [tex]$\frac{13}{15} - \frac{4}{15}$[/tex] is:
[tex]$$
\frac{3}{5}.
$$[/tex]
