Certainly! Let's go through each multiplication of fractions step-by-step:
### Question 7:
[tex]\[
\frac{1}{8} \times \frac{2}{5} = \frac{1 \times 2}{8 \times 5} = \frac{2}{40} = \frac{1}{20} = 0.05
\][/tex]
### Question 8:
[tex]\[
\frac{4}{15} \times \frac{3}{22} = \frac{4 \times 3}{15 \times 22} = \frac{12}{330} = \frac{6}{165} = \frac{2}{55} \approx 0.03636363636363637
\][/tex]
### Question 9:
[tex]\[
\frac{7}{18} \times \frac{9}{14} = \frac{7 \times 9}{18 \times 14} = \frac{63}{252} = \frac{1}{4} = 0.25
\][/tex]
### Question 10:
[tex]\[
\frac{1}{10} \times \frac{4}{5} = \frac{1 \times 4}{10 \times 5} = \frac{4}{50} = \frac{2}{25} = 0.08
\][/tex]
### Question 11:
[tex]\[
\frac{5}{12} \times \frac{6}{7} = \frac{5 \times 6}{12 \times 7} = \frac{30}{84} = \frac{5}{14} \approx 0.35714285714285715
\][/tex]
### Question 12:
[tex]\[
\frac{3}{14} \times \frac{7}{9} = \frac{3 \times 7}{14 \times 9} = \frac{21}{126} = \frac{1}{6} \approx 0.16666666666666666
\][/tex]
So, the answers are:
1. [tex]\(\frac{1}{8} \times \frac{2}{5} = 0.05\)[/tex]
2. [tex]\(\frac{4}{15} \times \frac{3}{22} \approx 0.03636363636363637\)[/tex]
3. [tex]\(\frac{7}{18} \times \frac{9}{14} = 0.25\)[/tex]
4. [tex]\(\frac{1}{10} \times \frac{4}{5} = 0.08\)[/tex]
5. [tex]\(\frac{5}{12} \times \frac{6}{7} \approx 0.35714285714285715\)[/tex]
6. [tex]\(\frac{3}{14} \times \frac{7}{9} \approx 0.16666666666666666\)[/tex]
