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

Question

45 cakes are baked each morning in a bakery.

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

How many chocolate cakes are baked each day?

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

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

$45\times\frac{1}{3}=\frac{45\times1}{3}=\frac{45}{3}$

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

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

$15$