Question

A baker made two cakes of the same size.

-At the end of the day, there was 2/3 of a chocolate cake left.

-There was 5/6 of a strawberry cake left.

-The baker divided the remaining chocolate cake into 2 equal pieces and the remaining strawberry cake into 3 equal pieces.

Which cake flavor had larger pieces and by how much?

Answer 1

Chocolate cake is larger and it is larger than strawberry by 1/18 of a cake.

What is fraction?

"A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator".

For the given situation,

A baker made two cakes, a chocolate cake and strawberry cake.

Chocolate cake left = 2/3

Strawberry cake left = 5/6

Chocolate cake is divided into 2 equal pieces. So the fraction is

⇒ $\frac{2}{3}$ × $\frac{1}{3}$

⇒ $\frac{2}{6}$

⇒ $\frac{1}{3}$ ≈ $0.33$

Strawberry cake is divided into 3 equal parts. So the fraction is

⇒ $\frac{5}{6}$ × $\frac{1}{3}$

⇒ $\frac{5}{18}$ ≈ $0.27$

Thus chocolate cake is larger. Difference between these two gives how much it is larger.

⇒ $\frac{1}{3} - \frac{5}{18}$

⇒$\frac{1}{18}$

Hence we can conclude that chocolate cake is larger and it is larger than strawberry by 1/18 of a cake.

Learn more about fractions here

https://brainly.com/question/24776381

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