Fraction Distribution Problem: Calculate Remaining Strawberry Cakes from 45 Total

Video Solution

Solution Steps

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 Solution

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

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