To find the product of two fractions, you need to multiply the numerators and then multiply the denominators. Here are the detailed steps:
1. Identify the numerators and denominators of the fractions:
- The first fraction is [tex]\(\frac{5}{6}\)[/tex], where [tex]\(5\)[/tex] is the numerator and [tex]\(6\)[/tex] is the denominator.
- The second fraction is [tex]\(\frac{1}{7}\)[/tex], where [tex]\(1\)[/tex] is the numerator and [tex]\(7\)[/tex] is the denominator.
2. Multiply the numerators:
- Multiply [tex]\(5\)[/tex] (the numerator of the first fraction) by [tex]\(1\)[/tex] (the numerator of the second fraction).
- [tex]\[
5 \times 1 = 5
\][/tex]
3. Multiply the denominators:
- Multiply [tex]\(6\)[/tex] (the denominator of the first fraction) by [tex]\(7\)[/tex] (the denominator of the second fraction).
- [tex]\[
6 \times 7 = 42
\][/tex]
4. Form the product fraction:
- Place the product of the numerators over the product of the denominators.
- [tex]\[
\frac{5 \times 1}{6 \times 7} = \frac{5}{42}
\][/tex]
Therefore, the product of [tex]\(\left(\frac{5}{6}\right)\left(\frac{1}{7}\right)\)[/tex] is [tex]\(\frac{5}{42}\)[/tex].
