Answer :
To square the fraction [tex]$\frac{13}{15}$[/tex], we square both the numerator and the denominator. That is,
[tex]$$
\left(\frac{13}{15}\right)^2 = \frac{13^2}{15^2}.
$$[/tex]
Calculating the squares:
1. The numerator is squared:
[tex]$$
13^2 = 169.
$$[/tex]
2. The denominator is squared:
[tex]$$
15^2 = 225.
$$[/tex]
Thus, the squared fraction is
[tex]$$
\frac{169}{225}.
$$[/tex]
Next, we check if this fraction can be simplified further. We determine the greatest common divisor (gcd) of 169 and 225. Since the gcd of 169 and 225 is 1, the fraction is already in its simplest form.
Therefore, the answer is
[tex]$$
\frac{169}{225}.
$$[/tex]
[tex]$$
\left(\frac{13}{15}\right)^2 = \frac{13^2}{15^2}.
$$[/tex]
Calculating the squares:
1. The numerator is squared:
[tex]$$
13^2 = 169.
$$[/tex]
2. The denominator is squared:
[tex]$$
15^2 = 225.
$$[/tex]
Thus, the squared fraction is
[tex]$$
\frac{169}{225}.
$$[/tex]
Next, we check if this fraction can be simplified further. We determine the greatest common divisor (gcd) of 169 and 225. Since the gcd of 169 and 225 is 1, the fraction is already in its simplest form.
Therefore, the answer is
[tex]$$
\frac{169}{225}.
$$[/tex]
