Answer:
![(2)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/1av3yobq849bey4xhcj8pholi1asynktx7.png)
Explanation:
Mai biked
miles today. Convert the number of miles Mai biked into improper fraction:
![6(3)/(4)=(6\cdot 4+3)/(4)=(24+3)/(4)=(27)/(4)\ miles](https://img.qammunity.org/2021/formulas/mathematics/middle-school/2ssa4h8ygcq35s4ct7atrphdl4ngrej4hr.png)
Noah biked
miles. Convert the number of miles Noah biked into improper fraction:
![4(1)/(2)=(4\cdot 2+1)/(2)=(8+1)/(2)=(9)/(2)\ miles](https://img.qammunity.org/2021/formulas/mathematics/middle-school/uje9za54mlizgqzk7p74czel00350sj3p2.png)
To find the number of times the length of Noah’s bike did was Mai’s bike did, divide the Noah's number of miles by Mai's number of miles:
![(9)/(2)/ (27)/(4)=(9)/(2)* (4)/(27)=(2)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9kh4bkeje9zad3ua9wb6o9n7jo55abty0u.png)