Answer:
see explanation
Step-by-step explanation:
(6)
we have to calculate the product
[tex]\frac{4}{5}[/tex] × [tex]\frac{5}{8}[/tex]
cancel the 5's and the 4/8 by dividing both by 4
= 1 × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
(7)
To divide 2 fractions follow the steps
• Leave the first fraction
• Change division to multiplication
• Turn the second fraction upside down
• Simplify, by cancelling if possible
First, however is to change the mixed number to an improper fraction
5 [tex]\frac{1}{3}[/tex] = [tex]\frac{16}{3}[/tex], hence
[tex]\frac{16}{3}[/tex] × [tex]\frac{9}{4}[/tex] (cancel 16/4 and 3/9 )
= [tex]\frac{4}{1}[/tex] × [tex]\frac{3}{1}[/tex] = 4 × 3 = 12
(8)
3 [tex]\frac{1}{2}[/tex] = [tex]\frac{7}{2}[/tex], hence
[tex]\frac{9}{10}[/tex] × [tex]\frac{2}{7}[/tex] ( cancel 2/10 )
= [tex]\frac{9}{5}[/tex] × [tex]\frac{1}{7}[/tex]
= [tex]\frac{9(1)}{5(7)}[/tex] = [tex]\frac{9}{35}[/tex]
