Percentage
We know that the 100% of the diagram correspond to 24 hours. We can see that Antoine sleeps 40% of the day. We want to know what is the 40% of 24h.
We have the following equivalence:
40% ⇄ ?
100% ⇄ 24h
If we divide both sides of the equivalence we will have the same result
![\begin{gathered} (40)/(100)=(?)/(24) \\ (2)/(5)=(?)/(24) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/8dsowamqgaao8uyzx4kwl5e694sn62xrgk.png)
if we multiply both sides if the equation by 24:
![\begin{gathered} (2)/(5)=(?)/(24) \\ 24\cdot(2)/(5)=\text{?} \\ (48)/(5)=\text{?} \\ 9.6=\text{?} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/utznni69lyytoufetve1nax6sc4ksty5be.png)
Answer: Antoine sleeps 9.6 hours