Step-by-step explanation:
1.
[tex] \frac{1}{5} \times \frac{3}{5} = \frac{3}{25}[/tex]
No more simplify.
2.
[tex] \frac{2}{7} \times \frac{2}{8} = \frac{4}{56} \\ simplify \: = \frac{4 \div 4}{56 \div 4} \\ = \frac{1}{14} [/tex]
3.
[tex]6 \times \frac{7}{8} = \frac{42}{8} \\ simplify \: = \frac{42 \div 2}{8 \div 2} \\ = \frac{21}{4} or \: 5 \frac{1}{4} [/tex]
4.
[tex]4 \frac{2}{7} \times \frac{4}{9} = \frac{30}{7} \times \frac{4}{9} \\ = \frac{120}{63} \\ simplify \: = \frac{120 \div 3}{63 \div 3} \\ = \frac{40}{21} or \: 1 \frac{19}{21} [/tex]
You can simplify 30 and 9 early on if you want to.
5.
[tex]8 \frac{1}{2} \times 3 \frac{1}{10} = \frac{17}{2} \times \frac{31}{10} \\ = \frac{527}{20} or \: 26 \frac{7}{20} [/tex]
No more simplify.
