Which is larger $2/3$ of 24 or $3/4$ of 20?

Question

Found this exercise in the BBC Bitesize website: Fractions of amounts

Asking which value is larger between $2/3$ of $24$ and $3/4$ of $20$.

My calculations brought me to:

$2/3$ of $24$ = $16/24$

while

$3/4$ of $ 20$ = $15/20$.

Making them with the same denominator I obtained:

$2/3$ of $24$ = $16/24$ = $80/120$

while

$3/4$ of $20$ = $15/20$ = $90/120$

It's clear for me that $3/4$ of $20$ is bigger than $2/3$ of $24$. But the answer is not correct as they define $16 > 15$.

I don't understand, am I missing something?

Thanks

-- Update -- I am sorry. I understand the answers .. but I don't understand.

This funny website (pizza fraction calculator) helped me figure how many pieces of a pizza would it be to cut 16 pieces out of 24 and 15 out of 20.

this is 16 pieces out of 24:

and this is 15 pieces out of 20:

Either I am blind or 15 pieces out of 20 seems to be more pizza for me.

Answer 1

Hint $$\frac23 \times24=\frac{2\times 24}{3}=\frac{48}{3}=16$$ $$\frac34\times 20=\frac{3\times 20}{4}=\frac{60}{4}=15$$

Answer 2

$$\frac {2}{3} \text { of } 24 =\frac {2}{3}\times 24 =16$$ $$\frac {3}{4} \text { of } 20 =\frac {3}{4}\times 20 =15$$

Answer 3

You have that $$\frac{2}{3}\cdot 24 = \frac{48}{3} = 16$$ and $$\frac34 \cdot 20 = 3\cdot\frac{20}{4} = 3\cdot 5 = 15. $$ That's why.