To find the product of the fractions [tex]\(\frac{3}{4} \times \frac{1}{8}\)[/tex], follow these steps:
1. Multiply the numerators:
The numerators are the top parts of the fractions. For [tex]\(\frac{3}{4}\)[/tex] and [tex]\(\frac{1}{8}\)[/tex], the numerators are 3 and 1, respectively.
[tex]\[
3 \times 1 = 3
\][/tex]
2. Multiply the denominators:
The denominators are the bottom parts of the fractions. For [tex]\(\frac{3}{4}\)[/tex] and [tex]\(\frac{1}{8}\)[/tex], the denominators are 4 and 8, respectively.
[tex]\[
4 \times 8 = 32
\][/tex]
3. Form the new fraction:
Use the products from steps 1 and 2 to form a new fraction, which is the product of the original fractions.
[tex]\[
\frac{3}{32}
\][/tex]
4. Simplify the fraction (if possible):
Check if the fraction [tex]\(\frac{3}{32}\)[/tex] can be simplified by finding a common divisor of the numerator and denominator. In this case, 3 and 32 have no common factors other than 1, so the fraction is already in its simplest form.
Thus, the product of [tex]\(\frac{3}{4} \times \frac{1}{8}\)[/tex] is [tex]\(\frac{3}{32}\)[/tex].
