Answer :
[tex]During\ fractions\ division\ we\ multiply\ first\ fraction\ by\ inverse\ of\\\\the\ second\\\\
\frac{\frac{4}{5}}{\frac{3}{10}}=\frac{4}{5}*\frac{10}{3}=\frac{8}{3}=2\frac{2}{3}\\\\\\
\frac{\frac{9}{10}}{\frac{7}{20}}=\frac{9}{10}*\frac{20}{7}=\frac{18}{7}=2\frac{4}{7}[/tex]
First for 4/5 divided by 3/10 you find the common denominator which is 10 then do the same to the top as you've done to the bottoms to get 10, 5•2=10 so 4•2=8 making that your new numerator for the first fraction, 10•1=10 so 3•1=3making your first fraction 8/10 and your second 3/10..then make the second fraction into a reciprocal and flip it making 3/10 to 10/3 and changing your division to multiplication , keep your first fraction the same.. I like cross canceling so with cross canceling it would simplify to 8•1 and 1•3 (straight across top then bottom) making your answer an improper fraction which is 8/3 which goes to 2 2/3... Hope it helped and sorry for any spelling errors
For 9/10 divided by 7/20 you find the common denominator which is 20 and do the same to the top that you did to the bottom to get 18/20 divided by 7/20, then get your reciprocal and change the second fraction to 20/7 and the division sign to multiplication then either cross cancel the 20's out with each other and make them into 1's then multiply straight across to get 18/7 which goes to 2 4/7
First answer-8/3 or 2 and 2/3
Second answer- 18/7 or 2 and 4/7
For 9/10 divided by 7/20 you find the common denominator which is 20 and do the same to the top that you did to the bottom to get 18/20 divided by 7/20, then get your reciprocal and change the second fraction to 20/7 and the division sign to multiplication then either cross cancel the 20's out with each other and make them into 1's then multiply straight across to get 18/7 which goes to 2 4/7
First answer-8/3 or 2 and 2/3
Second answer- 18/7 or 2 and 4/7