Answer :
To solve the problem of multiplying the fractions [tex]\(\frac{13}{15}\)[/tex] and [tex]\(\frac{1}{5}\)[/tex], follow these steps:
1. Multiply the Numerators: Start by multiplying the numerators of the fractions. The numerator of the first fraction is 13, and the numerator of the second fraction is 1. So, you multiply:
[tex]\(13 \times 1 = 13\)[/tex]
2. Multiply the Denominators: Next, multiply the denominators of the fractions. The denominator of the first fraction is 15, and the denominator of the second fraction is 5. So, you multiply:
[tex]\(15 \times 5 = 75\)[/tex]
3. Form the New Fraction: After multiplying the numerators and the denominators, you get a new fraction:
[tex]\(\frac{13}{75}\)[/tex]
4. Convert to Decimal (if needed): If you need the result in decimal form, divide the numerator by the denominator:
[tex]\(13 \div 75 \approx 0.17333333333333334\)[/tex]
Therefore, the product of [tex]\(\frac{13}{15} \times \frac{1}{5}\)[/tex] is approximately 0.17333333333333334 in decimal form.
1. Multiply the Numerators: Start by multiplying the numerators of the fractions. The numerator of the first fraction is 13, and the numerator of the second fraction is 1. So, you multiply:
[tex]\(13 \times 1 = 13\)[/tex]
2. Multiply the Denominators: Next, multiply the denominators of the fractions. The denominator of the first fraction is 15, and the denominator of the second fraction is 5. So, you multiply:
[tex]\(15 \times 5 = 75\)[/tex]
3. Form the New Fraction: After multiplying the numerators and the denominators, you get a new fraction:
[tex]\(\frac{13}{75}\)[/tex]
4. Convert to Decimal (if needed): If you need the result in decimal form, divide the numerator by the denominator:
[tex]\(13 \div 75 \approx 0.17333333333333334\)[/tex]
Therefore, the product of [tex]\(\frac{13}{15} \times \frac{1}{5}\)[/tex] is approximately 0.17333333333333334 in decimal form.
