Question

Our Einstein has baked a cake and cut it into 8 slices. If he hands out 3 slices to his guests, what fraction of the cake is left?

Answer 1

`(5)/(8)`

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
`(1)/(8)`.

He hands out 3 slices to his guests. Let us find out part of the cake given to guests.

`\text{The part of the cake given to guests}=(1)/(8)+(1)/(8)+(1)/(8)`

`\text{The part of the cake given to guests}=(1+1+1)/(8)`

`\text{The part of the cake given to guests}=(3)/(8)`

To find the fraction of left cake we will subtract
`(3)/(8)` from 1 as Einstein has 1 whole cake.

`\text{fraction of cake is left}=1-(3)/(8)`

`\text{fraction of cake is left}=(8)/(8)-(3)/(8)`

`\text{fraction of cake is left}=(8-3)/(8)`

`\text{fraction of cake is left}=(5)/(8)`

Therefore,
`(5)/(8)` of the cake is left.

Answer 2

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 =
`\frac{\text{Slices of cake left}}{\text{Total number of slices of a cake}}`

Substitute the given values we get;

`\text{Fraction of the cake is left} =(5)/(8)`

therefore, the fraction of the cake is left is,
`(5)/(8)`