Sure, I'd be happy to explain the solution step by step:
To solve the multiplication of the fractions [tex]\(\frac{4}{8} \times \frac{2}{3}\)[/tex], follow these steps:
1. Multiply the numerators: Multiply the numerator of the first fraction (4) by the numerator of the second fraction (2):
[tex]\[
4 \times 2 = 8
\][/tex]
2. Multiply the denominators: Multiply the denominator of the first fraction (8) by the denominator of the second fraction (3):
[tex]\[
8 \times 3 = 24
\][/tex]
Now we have:
[tex]\[
\frac{4}{8} \times \frac{2}{3} = \frac{8}{24}
\][/tex]
Next, let’s simplify the fraction [tex]\(\frac{8}{24}\)[/tex]:
3. Find the Greatest Common Divisor (GCD): The greatest common divisor of 8 and 24 is 8.
4. Divide the numerator and the denominator by their GCD:
[tex]\[
\frac{8}{24} = \frac{8 \div 8}{24 \div 8} = \frac{1}{3}
\][/tex]
Therefore, a simplified fraction equal to [tex]\(\frac{8}{24}\)[/tex] is [tex]\(\frac{1}{3}\)[/tex].
So, we arrive at the final simplified form of the product:
[tex]\[
\frac{4}{8} \times \frac{2}{3} = \frac{8}{24} = \frac{1}{3}
\][/tex]
However, given the problem states to present the unsimplified result,
[tex]\[
\frac{4}{8} \times \frac{2}{3} = \frac{8}{24}
\][/tex]
