Amanda and Joyce spent 3 1/3 hours at the lake.
For 1/3 of that time, they went fishing. To find the time spent fishing, we multiply both fractions:
![3(1)/(3)\cdot(1)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/xccwi2hdzmf3xlmpju0et26ry3eessusbo.png)
We must express the mixed fraction as an improper fraction as follows:
![3(1)/(3)=3+(1)/(3)=(3\cdot3+1)/(3)=(10)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/imk24r0r8ojsfau2wtp6xswdfvsikgpv93.png)
Now we use the following equation to find the amount of time they spent fishing:
![(10)/(3)\cdot(1)/(3)=(10)/(9)](https://img.qammunity.org/2023/formulas/mathematics/college/v75nqjq48f2x4eb3006hzd2nat6ikie835.png)
They spend 10/9 hours fishing, we found that by multiplyingT