Respuesta :
Answer:
Each whole slice of cake can be divided into 2 halves so [tex]3\frac{1}{2}[/tex] slices of cake is a total of 7 halves because each friend gets half a life of cake there are 7.
Step-by-step explanation:
Given : A group of friends share [tex]3\frac{1}{2}[/tex] slices of cakes each friend gets half a slice of cake.
To find : How many friends shared the slices of cake ?
Solution :
According to question,
[tex]3\frac{1}{2}=3+\frac{1}{2}[/tex]
i.e. it divided into 2 halves.
[tex]3+\frac{1}{2}=1+1+1+\frac{1}{2}=\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}[/tex]
i.e. total [tex]\frac{1}{2}[/tex] slices are 7 halves.
Each friend gets half a life of cake
i.e. there are 7 friends.
Rounding all the statements together,
Each whole slice of cake can be divided into 2 halves so [tex]3\frac{1}{2}[/tex] slices of cake is a total of 7 halves because each friend gets half a life of cake there are 7.
Each whole slice of cake can be divided into ___2__( 3 halves,1 half,2 halves) so 3 1/2 slices of cake is a total of ___7__ ( 4 halves,7 halves,9 halves) because each friend gets half a life of cake there are __7___ (9,7,4) friends
What are proper and improper fractions and how to convert mixed fraction to simple fraction?
There is a fraction, containing numerator(upper value) and denominator(lower value).
When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.
A proper fraction is also called fraction which is less than 1.
And an improper fraction is ≥ 1
A mixed fraction contains a sum of whole number and a proper fraction.
One example of mixed fraction is
[tex]a\dfrac{b}{c}[/tex]
It can be taken as
[tex]a\dfrac{b}{c} = a + \dfrac{b}{c} = \dfrac{a \times c + b}{c}[/tex]
Since it is given that there are in total [tex]3\dfrac{1}{2}[/tex] slices of cakes, we can convert it to normal fraction as
[tex]3\dfrac{1}{2} = 3 + \dfrac{1}{2} = \dfrac{3 \times 2 + 1}{2} = \dfrac{7}{2} = 7 \times \dfrac{1}{2}[/tex]
This shows the amount of slices of cakes. It means there were 7 half slices of cake.
Since each friend took half slice, and all of [tex]3\dfrac{1}{2}[/tex] slices was consumed, thus, there must be 7 friends in the group.
Thus,
The completed statement is
Each whole slice of cake can be divided into ___2 halves__( 3 halves,1 half,2 halves) so 3 1/2 slices of cake is a total of ___7__ ( 4 halves,7 halves,9 halves) because each friend gets half a life of cake there are __7___ (9,7,4) friends
Learn more about fractions here:
brainly.com/question/886123
