Question

36/99 divided by 44/99

Answer 1

`36/99 divided by 44/99` is the same as `36/99 times 99/44`

notice how the second fraction flipped and I changed the division to multiplication

Answer 2

so you turn the second fraction to the recipricol and change the equation to multiplication

Answer 3

whenever you divide or is there another way?

Answer 4

yes because of this rule

\[\Large \frac{A}{B} \div \frac{C}{D} = \frac{A}{B} \times \frac{D}{C}\]

Answer 5

what is that rule called?

Answer 6

I'm not sure it has a specific name. Let me look

Answer 7

so Idk how to multiply this new equation..?

Answer 8

ok so you understand how we have gone from

\[\Large \frac{36}{99} \div \frac{44}{99}\]

to

\[\Large \frac{36}{99} \times \frac{99}{44}\]

right? or no?

Answer 9

here's another example

http://www.coolmath.com/sites/cmat/files/images/1_3dividedby4_5.gif

Answer 10

Notice we have this pair of 99s

\[\Large \frac{36}{{\color{red}{99}}}\times\frac{{\color{red}{99}}}{44}\]

they will cancel (since one 99 is up top, the other 99 is down below)


\[\Large \frac{36}{{\color{red}{99}}}\times\frac{{\color{red}{99}}}{44} = \frac{36}{{\color{red}{\cancel{99}}}}\times\frac{{\color{red}{\cancel{99}}}}{44}\]

\[\Large \frac{36}{{\color{black}{99}}}\times\frac{{\color{black}{99}}}{44} = \frac{36}{1}\times\frac{1}{44}\]

\[\Large \frac{36}{{\color{black}{99}}}\times\frac{{\color{black}{99}}}{44} = \frac{36 \times 1}{1 \times 44}\]

\[\Large \frac{36}{{\color{black}{99}}}\times\frac{{\color{black}{99}}}{44} = \frac{36}{44}\]

making sense so far?

Answer 11

yes thank you