If a cake is cut into thirds and each third is cut into fourths, how many pieces of cake are there?

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Solution

Let the cake be $x$
Now the cake has cut into thirds $=$ $\frac{1}{3} \times x = \frac{x}{3}$
Now the cake has $3$ parts just the inverse
Each third is cut into fourth $=$ $\frac{1}{4} \times \frac{1}{3} \times x = \frac{x}{12}$
So the cake has $12$ parts in all.

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If a cake is cut into thirds and each third is cut into fourths, how many pieces of cake are there?

Let the cake be xNow the cake has cut into thirds = 13×x=x3Now the cake has 3 parts just the inverseEach third is cut into fourth = 14×13×x=x12So the cake has 12 parts in all.

Let the cake be $x$
Now the cake has cut into thirds $=$ $\frac{1}{3} \times x = \frac{x}{3}$
Now the cake has $3$ parts just the inverse
Each third is cut into fourth $=$ $\frac{1}{4} \times \frac{1}{3} \times x = \frac{x}{12}$
So the cake has $12$ parts in all.