Question

3.) You have 4/9 of a large bottle of cooking oil. You pour 3/5 of the cooking oil into a smaller bottle. How much of the entire larger bottle did you pour into the smaller bottle?

4.) Write the prime factorization of 84.​

Answer 1

3.
`(4)/(15)` of the larger bottle

4.
`84=2^2*3*7`

Explanation:

3.

The amount you have is 4/9 and you pour 3/5 of THAT AMOUNT. So we need to multiply. Hence,

4/9 * 3/5 = 4/15

Thus, 4/15 th of the original amount has been poured into smaller bottle.

4.

To find prime factorization, we need to divide 84 by prime numbers successively to arrive at another prime number that can't be further divided.

84/2 = 42

42/2 = 21

21/3 = 7

7 can't be further divided since 7 is a prime number.

The prime factorization, thus, is all the numbers (prime) that we divided 84 by. So we can write:

84 = 2 * 2 * 3 * 7

or

`84=2^2*3*7`