Answer:
[tex]\frac{5}{16}[/tex] hours
Step-by-step explanation:
We have been given that Carlos spent 1 1/4 hours doing his math homework. He spent 1/4 of this time practicing his multiplication facts.
To find the time spend by Carlos on practicing his multiplication facts, we need to calculate 1/4 of 1 1/4.
1/4 of 1 1/4 means multiplying 1/4 by 1 1/4 as:
[tex]\frac{1}{4}\times 1\frac{1}{4}[/tex]
Convert mixed fraction to improper fraction:
[tex]1\frac{1}{4}\Rightarrow \frac{1\times 4+1}{4}=\frac{4+1}{4}=\frac{5}{4}[/tex]
[tex]\frac{1}{4}\times 1\frac{1}{4}\Rightarrow\frac{1}{4}\times\frac{5}{4}[/tex]
[tex]\frac{1\times 5}{4\times 4}[/tex]
[tex]\frac{5}{16}[/tex]
Therefore, Carlos spent [tex]\frac{5}{16}[/tex] hours practicing his multiplication facts.
