Answer:
hours
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:
![(1)/(4)* 1(1)/(4)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/q95dyvkjulhx3kjlvcksdqiynrunfxvbk8.png)
Convert mixed fraction to improper fraction:
![1(1)/(4)\Rightarrow (1* 4+1)/(4)=(4+1)/(4)=(5)/(4)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/b0fuhox2n2wessp7qpwarjk7bxd5gc4vd4.png)
![(1)/(4)* 1(1)/(4)\Rightarrow(1)/(4)*(5)/(4)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/x6lukr66ygxaxk0fuw0bwtelrdhoqmyonv.png)
![(1* 5)/(4* 4)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/9y19h4gxqfx1uptpn1o6a8znt5ho971qzv.png)
![(5)/(16)](https://img.qammunity.org/2019/formulas/mathematics/high-school/liw62ms2qciqmh4sqvohlsey02yxzs2xh6.png)
Therefore, Carlos spent
hours practicing his multiplication facts.