Question

Algebra 2

Answer 1

surely you can simplify the numbers part ?
what do only the numbers simplify to ?

Answer 2

I can't :/ I tried doing it, and then when I attempted to cancel the numbers, they didn't come out to the answer choices. I kept changing them around and got:
(2m^2)(2m) (3n) (3n)
x
3m^2n (15mn)(15mn)

Answer 3

\[\frac{4 \cdot 9}{3 \cdot 30 } \]

Answer 4

can you simplify that ? (if there is the same number in the top and bottom, you can "cancel" it )

Answer 5

if you can divide the same number into the top and bottom, you can simplify it

Answer 6

if it is not clear, factor each number into its prime factors

Answer 7

\[4\times9/10?\]

Answer 8

start with
\[ \frac{4 \cdot 9} {3 \cdot 30 } \]
now factor the 4 into 2*2 and the 9 into 3*3
\[ \frac{2 \cdot 2 \cdot 3 \cdot3} {3 \cdot 30 } \]
in the bottom, factor 30 into 3*10, and the 10 into 2*5 so 30 is 3*2*5
\[ \frac{2 \cdot 2 \cdot 3 \cdot3} {3 \cdot 2 \cdot 3 \cdot 5 } \]

Answer 9

now if you see the same number in the top and bottom, cancel both of them
do that for each pair of numbers you can match up.

Answer 10

Since we have to switch them around first, is it 5/2?

Answer 11

nothing to do with switching around.

if you have
\[ \frac{7 \cdot 7}{3 \cdot 7 } = \frac{\cancel{7} \cdot 7}{3 \cdot \cancel{7}} \]
because you can match up a 7 in the top with a 7 in the bottom, and take both out.

Answer 12

now do that with
\[ \frac{2 \cdot 2 \cdot 3 \cdot3} {3 \cdot 2 \cdot 3 \cdot 5 } \]

Answer 13

\[\ \frac{ 2 }{ 3} x \frac{ 3 }{ 5 }\]

Answer 14

how many 2's are in the top and how many are in the bottom in
\[ \frac{2 \cdot 2 \cdot 3 \cdot3} {3 \cdot 2 \cdot 3 \cdot 5 } \]

Answer 15

I was thinking it'd end up as \[\frac{ 2 }{ 5 }\]

Answer 16

which is an answer choice ~ we just have to add the letters

Answer 17

to be sure, answer how many 2's are up top and how many in the bottom ?

Answer 18

2's in the top - 2
2's at the bottom - 1

Answer 19

after you cancel the pair of 2's (one from the top and one from the bottom)
how many 2's are left in the top ?
how many 2's left in the bottom ?

Answer 20

the reason to go through this, is this will be how we do the letters