Question

Simplify by prime factorization 49/84 steps please

Answer 1

Answer:

7/12

Step-by-step explanation:

49/84 the smallest number that can divide them without remainder is 7 so 7 in 49 is 7 and 7 in 84 is 12. Therefore the answer is 7/12

Answer 2

Answer:

7/12

Step-by-step 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