If you know what happens in 2/3 of a minute, multiply that number by 3/2 to see what happens in a minute. This is true because you have the proportion
![5(1)/(4)/ (2)/(3)=x/ 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a2kqxjbcego63u8wfpnhwm2ik4xeqrrcfw.png)
And solving for x you have
![(2)/(3)x=5(1)/(4) \iff x=5(1)/(4)\cdot (3)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/q9j9eri7xu4aziy8bfn7ul9vk936n4xrpq.png)
Getting rid of mixed fraction, we have 5 1/4=21/4, and thus the final answer is
![(21)/(4)\cdot(3)/(2)=(63)/(8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vruqk075fht0j3h6wofl3382soau7gw83k.png)