Answer :
We start with the subtraction of the fractions:
[tex]$$
\frac{14}{15} - \frac{8}{15} = \frac{14 - 8}{15}.
$$[/tex]
Since the denominators are the same, we subtract the numerators:
[tex]$$
14 - 8 = 6.
$$[/tex]
So, the result is:
[tex]$$
\frac{6}{15}.
$$[/tex]
Next, we simplify the fraction. The greatest common divisor (gcd) of 6 and 15 is 3. We divide both the numerator and the denominator by 3:
[tex]$$
\frac{6 \div 3}{15 \div 3} = \frac{2}{5}.
$$[/tex]
Thus, in its simplest form, the answer is:
[tex]$$
\frac{2}{5}.
$$[/tex]
[tex]$$
\frac{14}{15} - \frac{8}{15} = \frac{14 - 8}{15}.
$$[/tex]
Since the denominators are the same, we subtract the numerators:
[tex]$$
14 - 8 = 6.
$$[/tex]
So, the result is:
[tex]$$
\frac{6}{15}.
$$[/tex]
Next, we simplify the fraction. The greatest common divisor (gcd) of 6 and 15 is 3. We divide both the numerator and the denominator by 3:
[tex]$$
\frac{6 \div 3}{15 \div 3} = \frac{2}{5}.
$$[/tex]
Thus, in its simplest form, the answer is:
[tex]$$
\frac{2}{5}.
$$[/tex]
