Fraction Distribution Problem: Calculate Remaining Strawberry Cakes from 45 Total

Let's split 36 into three fractions:

The first one represents the chocolate cakes

$\frac{1}{3}$

The second one represents the cheesecakes

$\frac{1}{3}$

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:

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

$1=\frac{3}{3}$

We'll write the exercise like this:

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

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:

$\frac{1}{3}\times45=$

Let's multiply the numerator by 45:

$\frac{1\times45}{3}=$

Let's divide both the numerator and denominator by 3

$\frac{45:3}{3:3}=\frac{15}{1}=15$