Fraction Distribution Problem: Calculate Remaining Strawberry Cakes from 45 Total

In the bakery, they bake 45 cakes in the morning, 13 \frac{1}{3} of which are chocolate 13 \frac{1}{3} are cheese, while the rest with strawberry jam.

How many cakes with strawberry jam are baked every morning?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 How many strawberry cakes are being baked?
00:07 The given amount of cakes
00:14 Subtract the given amount from the whole to find the amount of strawberry cakes
00:22 Convert from whole number to the appropriate whole fraction
00:34 Subtract with common denominator
00:40 This is the amount of strawberry cakes
00:46 Now to find the number of cakes, multiply this amount by the total cakes
00:52 Raise the product to the numerator
00:57 Reduce the fraction, make sure to divide both numerator and denominator
01:05 Any number divided by 1 is always equal to itself
01:10 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

In the bakery, they bake 45 cakes in the morning, 13 \frac{1}{3} of which are chocolate 13 \frac{1}{3} are cheese, while the rest with strawberry jam.

How many cakes with strawberry jam are baked every morning?

2

Step-by-step solution

Let's split 36 into three fractions:

The first one represents the chocolate cakes

13 \frac{1}{3}

The second one represents the cheesecakes

13 \frac{1}{3}

And the third one representing the strawberry cakes remains unknown for now.

Let's find the unknown in the following way.

1 is the whole that represents the whole, so we'll subtract from it the two fractions we already know:

11313= 1-\frac{1}{3}-\frac{1}{3}=

1=33 1=\frac{3}{3}

We'll write the exercise like this:

331313=3113=13 \frac{3}{3}-\frac{1}{3}-\frac{1}{3}=\frac{3-1-1}{3}=\frac{1}{3}

We found the fraction that represents the strawberry cakes.

Now let's find the number representing each fraction:

We'll multiply the number of cakes by the fraction representing the chocolate/cheese/strawberry cakes:

13×45= \frac{1}{3}\times45=

Let's multiply the numerator by 45:

1×453= \frac{1\times45}{3}=

Let's divide both the numerator and denominator by 3

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

3

Final Answer

15 15

Practice Quiz

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Without calculating, determine whether the quotient in the division exercise is smaller than 1 or not:

\( 2:1 \)

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