Let's tackle each part of the problem step-by-step in detail to understand the multiplication of the given fractions, ending up with the simplified result.
First part of the problem:
1. Given fractions:
[tex]\[
\frac{7}{9} \times \frac{8}{8}
\][/tex]
2. Multiply the numerators:
[tex]\[
7 \times 8 = 56
\][/tex]
3. Multiply the denominators:
[tex]\[
9 \times 8 = 72
\][/tex]
4. The result of the multiplication:
[tex]\[
\frac{7}{9} \times \frac{8}{8} = \frac{56}{72}
\][/tex]
Second part of the problem:
1. Given fractions:
[tex]\[
\frac{5}{8} \times \frac{9}{9}
\][/tex]
2. Multiply the numerators:
[tex]\[
5 \times 9 = 45
\][/tex]
3. Multiply the denominators:
[tex]\[
8 \times 9 = 72
\][/tex]
4. The result of the multiplication:
[tex]\[
\frac{5}{8} \times \frac{9}{9} = \frac{45}{72}
\][/tex]
Summarizing the results:
- The first fraction multiplication yields: [tex]\( \frac{56}{72} \)[/tex]
- The second fraction multiplication yields: [tex]\( \frac{45}{72} \)[/tex]
Using these calculations, we find that:
[tex]\[
\begin{array}{r}
\frac{7}{9} \times \frac{8}{8} = \frac{56}{72} \\
\frac{5}{8} \times \frac{9}{9} = \frac{45}{72}
\end{array}
\][/tex]
Hence, the final numerical results are:
[tex]\[
\left(\frac{56}{72}, \frac{45}{72}\right)
\][/tex]
