Question

write 21/48 in simplest form
21/48
7/48
7/16
21/16
and please explain!

Answer 1

do 21 and 48 have any common factors?
and do you know what a factors is?

Answer 2

no i forgot:\

Answer 3

Example:
if i asked you to factor 9, one way to do is write 3*3.
3 is a factor of 9

just like you could write the factorization of 9 as 9*1
and you could say 9 is a factor and 1 is a factor

Answer 4

we could write the prime factorization for both 21 and 48

Answer 5

the common factor is 7?

Answer 6

prime numbers are integers that can only be factored at 1 times that number like 2,3,5,7,11,13,17,19,23,29, and so on

composite numbers are integers are not prime numbers like the ones in this fraction 21 and 48 are composite because we can write
21=3*7
48=2*2*2*2*3

Answer 7

they only have a 3 in common

Answer 8

i see

Answer 9

so we have
\[\frac{21}{48}=\frac{\not{3} \cdot 7}{16 \cdot \not{3}}\]

Answer 10

see nothing but what they had in common canceled

Answer 11

so 21/48 can be reduced to 7/16

Answer 12

okay am getting it now! thanks(:

Answer 13

np :)