Respuesta :
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
We have been given that our Einstein has baked a cake and cut it into 8 slices. So each slice will be equal [tex]\frac{1}{8}[/tex].
He hands out 3 slices to his guests. Let us find out part of the cake given to guests.
[tex]\text{The part of the cake given to guests}=\frac{1}{8}+\frac{1}{8}+\frac{1}{8}[/tex]
[tex]\text{The part of the cake given to guests}=\frac{1+1+1}{8}[/tex]
[tex]\text{The part of the cake given to guests}=\frac{3}{8}[/tex]
To find the fraction of left cake we will subtract [tex]\frac{3}{8}[/tex] from 1 as Einstein has 1 whole cake.
[tex]\text{fraction of cake is left}=1-\frac{3}{8}[/tex]
[tex]\text{fraction of cake is left}=\frac{8}{8}-\frac{3}{8}[/tex]
[tex]\text{fraction of cake is left}=\frac{8-3}{8}[/tex]
[tex]\text{fraction of cake is left}=\frac{5}{8}[/tex]
Therefore, [tex]\frac{5}{8}[/tex] of the cake is left.
Answer:
As per the given statement: Our Einstein has baked a cake and cut it into 8 slices.
⇒ Total slice of cake Einstein has baked = 8
Also, it is given that if he hands out 3 slices to his guests.
⇒ Number of slice he hands out to his guests = 3
Remaining slice of a cake Einstein left with = 8 -3 = 5.
We have to find the fraction of the cake is left.
Fraction states that a fraction is a number that represents a part of a whole. Also, It consists of a numerator and a denominator, where numerator represents the number of equal parts of a whole, while the denominator is the total number of parts.
Fraction of the cake is left = [tex]\frac{\text{Slices of cake left}}{\text{Total number of slices of a cake}}[/tex]
Substitute the given values we get;
[tex]\text{Fraction of the cake is left} =\frac{5}{8}[/tex]
therefore, the fraction of the cake is left is, [tex]\frac{5}{8}[/tex]
