Answer :
Sure! Let's multiply the fractions and reduce the result step-by-step. We need to multiply [tex]\(\frac{13}{15}\)[/tex] and [tex]\(\frac{4}{13}\)[/tex].
1. Multiply the numerators:
[tex]\[
13 \times 4 = 52
\][/tex]
2. Multiply the denominators:
[tex]\[
15 \times 13 = 195
\][/tex]
So, the product of the two fractions is:
[tex]\[
\frac{52}{195}
\][/tex]
3. Reduce the fraction:
To reduce the fraction [tex]\(\frac{52}{195}\)[/tex], we need to find the greatest common divisor (GCD) of 52 and 195.
The GCD of 52 and 195 is 13.
4. Divide both the numerator and the denominator by the GCD:
[tex]\[
\frac{52 \div 13}{195 \div 13} = \frac{4}{15}
\][/tex]
So, the reduced form of the fraction after multiplying [tex]\(\frac{13}{15} \cdot \frac{4}{13}\)[/tex] is [tex]\(\frac{4}{15}\)[/tex].
1. Multiply the numerators:
[tex]\[
13 \times 4 = 52
\][/tex]
2. Multiply the denominators:
[tex]\[
15 \times 13 = 195
\][/tex]
So, the product of the two fractions is:
[tex]\[
\frac{52}{195}
\][/tex]
3. Reduce the fraction:
To reduce the fraction [tex]\(\frac{52}{195}\)[/tex], we need to find the greatest common divisor (GCD) of 52 and 195.
The GCD of 52 and 195 is 13.
4. Divide both the numerator and the denominator by the GCD:
[tex]\[
\frac{52 \div 13}{195 \div 13} = \frac{4}{15}
\][/tex]
So, the reduced form of the fraction after multiplying [tex]\(\frac{13}{15} \cdot \frac{4}{13}\)[/tex] is [tex]\(\frac{4}{15}\)[/tex].
