Question

5/6 x 2/8 simplest form

Answer 1

To multiply the fractions \( \frac{5}{6} \) and \( \frac{2}{8} \), follow these steps:

1. Multiply the numerators:
\[
5 \times 2 = 10
\]

2. Multiply the denominators:
\[
6 \times 8 = 48
\]

So, we have:
\[
\frac{5}{6} \times \frac{2}{8} = \frac{10}{48}
\]

Next, we need to simplify \( \frac{10}{48} \). To do this, we find the greatest common divisor (GCD) of 10 and 48. The GCD is 2.

Now, divide both the numerator and the denominator by their GCD:
\[
\frac{10 \div 2}{48 \div 2} = \frac{5}{24}
\]

Thus, the simplest form of \( \frac{5}{6} \times \frac{2}{8} \) is:
\[
\frac{5}{24}
\]