Answer:
The fraction of her stickers that are not animal or flower is [tex]\frac{9}{24}[/tex]
Step-by-step 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 = [tex]\frac{5}{12}[/tex]
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
[tex]\frac{5}{12} + S = 1[/tex] ------ Collect like terms
[tex]S = 1 - \frac{5}{12}[/tex]
[tex]S = \frac{12 - 5}{12}[/tex]
[tex]S = \frac{7}{12}[/tex]
Hence, the fraction of her stickers that are not animal is [tex]\frac{7}{12}[/tex]
From the question, we have that [tex]\frac{5}{14}[/tex] of the remainder are flower stickers.
Let F = Flower Stickers
F = [tex]\frac{5}{14}[/tex] * S
F = [tex]\frac{5}{14}[/tex] * [tex]\frac{7}{12}[/tex]
F = [tex]\frac{5}{2}[/tex] * [tex]\frac{1}{12}[/tex]
F = [tex]\frac{5}{24}[/tex]
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
[tex]R = 1 - \frac{5}{12} - \frac{5}{24}[/tex]
[tex]R = \frac{24 - 10 - 5}{24}[/tex]
[tex]R = \frac{9}{24}[/tex]
Hence, the fraction of her stickers that are not animal or flower is [tex]\frac{9}{24}[/tex]
