Respuesta :
Answer:
1/9 for each batch
Step-by-step explanation:
He begins with 1/3 of the package, which he will divide into 3 equal parts.
So divide 1/3 by 3
1/3 divided by 3 can be written as
When dividing fractions (technically 3 is a fraction, it can be written as 3/1), use KFC. Keep the first fraction, Flip the second one (called the reciprocal), and change the expression to multiplication.
We keep 1/3, flipping 3/1 gives us 1/3, and we multiply them together.
(1/3)(1/3)
When multiplying fractions, multiply numerators together, and multiply denominators together to get a new fraction.
We get
1/9 or one ninth of the original package will be used per batch
Fraction is a part of the whole. The fraction of the original package that Steve will use for each batch is [tex]\dfrac{x}{9}[/tex].
What is a Fraction?
A fraction is a way to describe a part of a whole. such as the fraction
1/4 can be described as 0.25
Given to us
Steven has 1/3 of a package of biscuit mix left.
Steven will use equal parts of the leftover mix to make three batches of biscuits.
Let the total amount of mix that Steven has be x.
As given to us that the amount of mix that is left with Steven is 1/3 of the package. therefore,
[tex]\text{The amount of mix that is left with Steve} = x \times \dfrac{1}{3}[/tex]
Now, Steve wants to make the biscuits with the leftover mix, that too in three different batches, therefore we will divide the batch into 3 parts.
[tex]\text{The amount of mix that each batch will get} = \dfrac{x \times \dfrac{1}{3}}{3}[/tex]
[tex]\text{The amount of mix that each batch will get} = \dfrac{x \times1}{3\times 3}\\\\[/tex]
[tex]\text{The amount of mix that each batch will get} = \dfrac{x}{9}[/tex]
Hence, the fraction of the original package that Steve will use for each batch is [tex]\dfrac{x}{9}[/tex].
Learn more about Fractions:
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