Answer :

To subtract two fractions with the same denominator, you only need to subtract the numerators and keep the same denominator. Let's do this step by step:

1. Write down the fractions:
[tex]\[
\frac{13}{15} \quad \text{and} \quad \frac{8}{15}
\][/tex]

2. Subtract the numerators:
- Numerator of the first fraction: 13
- Numerator of the second fraction: 8

Subtract the numerators:
[tex]\[
13 - 8 = 5
\][/tex]

3. Keep the same denominator:
- Both fractions have the denominator 15, so the new fraction will have the same denominator: 15.

4. Write the result as a new fraction:
[tex]\[
\frac{5}{15}
\][/tex]

5. Simplify the fraction (if possible):
- The fraction [tex]\(\frac{5}{15}\)[/tex] can be simplified because both the numerator and the denominator can be divided by 5.
- Divide both the numerator and the denominator by their greatest common divisor, which is 5:

[tex]\[
\frac{5 \div 5}{15 \div 5} = \frac{1}{3}
\][/tex]

So, the simplified result of [tex]\(\frac{13}{15} - \frac{8}{15}\)[/tex] is [tex]\(\frac{1}{3}\)[/tex].

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Rewritten by : Barada