Question

Lillian collects stickers. Of her collection, 5/12 are animals stickers. Of remainder, 5/14 are flower stickers. What fraction of her stickers are not animal or flower?

Answer 1

well, this is simple subtraction as it is! 12-5= 7 so 7 for animal. 14-5= 9 so 9 for flower. 9+7= 16! so your final answer is, 16.

Answer 2

The fraction of her stickers that are not animal or flower is
`(9)/(24)`

Explanation:

Topic: Fractions

Let A represent the fraction of stickers that are animals

Let S represent the remaining stickers including the flower stickers

Given

A =
`(5)/(12)`

To get the fraction of stickers that are not animal or flower, the summation of the fraction must be equal to 1.

Mathematically, A + S = 1;

By Substitution, A + S = 1 becomes

`(5)/(12) + S = 1` ------ Collect like terms

`S = 1 - (5)/(12)`

`S = (12 - 5)/(12)`

`S = (7)/(12)`

Hence, the fraction of her stickers that are not animal is
`(7)/(12)`

From the question, we have that
`(5)/(14)` of the remainder are flower stickers.

Let F = Flower Stickers

F =
`(5)/(14)` * S

F =
`(5)/(14)` *
`(7)/(12)`

F =
`(5)/(2)` *
`(1)/(12)`

F =
`(5)/(24)`

To get the fraction of stickers that are not animal or flower, the summation of the fraction must be equal to 1.

Mathematically, A + F + R= 1;

R = 1 - A - F

Where R represent the fraction of stickers that are not animal or flower

`R = 1 - (5)/(12) - (5)/(24)`

`R = (24 - 10 - 5)/(24)`

`R = (9)/(24)`

Hence, the fraction of her stickers that are not animal or flower is
`(9)/(24)`