Calculate One-Third of 45: Daily Chocolate Cake Production Problem

45 cakes are baked each morning in a bakery.


13 \frac{1}{3} of the cakes are chocolate, 13 \frac{1}{3} are vanilla, while the rest are strawberry.

How many chocolate cakes are baked each day?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 How many chocolate cakes are being baked?
00:03 We'll multiply the ratio of chocolate cakes by the total number of cakes
00:06 We'll put the product in the numerator
00:13 We'll reduce the fraction, making sure to divide both numerator and denominator
00:23 Any number divided by 1 is always equal to itself
00:27 And that's the solution to the question

Step-by-step written solution

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1

Understand the problem

45 cakes are baked each morning in a bakery.


13 \frac{1}{3} of the cakes are chocolate, 13 \frac{1}{3} are vanilla, while the rest are strawberry.

How many chocolate cakes are baked each day?

2

Step-by-step solution

Let's begin by multiplying the total number of cakes by the fraction representing the number of chocolate cakes:

45×13=45×13=453 45\times\frac{1}{3}=\frac{45\times1}{3}=\frac{45}{3}

We then proceed to divide both the numerator and denominator by 3 as follows:

45:33:3=151=15 \frac{45:3}{3:3}=\frac{15}{1}=15

3

Final Answer

15 15

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