Answer:
7/12
Explanation:
First let's look at 49
-the last digit is 9, so is not divisible by 2 or 5 because is not ending in a even number or 0 or 5
-add the digits 4+9 = 13 is not divisible by 3
-let's try divided by 7 , 49/7 = 7
the prime factorization of 49 = 7*7
Then let's look at the number 84
- the last digit is 4 ( even number) so we can divide by 2
84/2 = 42
42/2= 21
- 21 is divisible by 3
21/3 = 7
the prime factorization of 84 = 2*2*3*7
now we divide the prime factorizations and simplify
49/84
= 7*7/2*2*3*7, one 7 from numerator and one 7 from denominator simplifies
= 7/ 2*2*3, multiply to write the fraction as a number
= 7/ 12