Answer:
5/4
Step-by-step explanation:
The division of fractions can be calculated as:
![(a)/(b)/(c)/(d)=(a* d)/(b* c)](https://img.qammunity.org/2023/formulas/mathematics/college/oa2r1vflekckfh60y6ufxr9666ge7d1c6d.png)
Therefore, 10/12 รท 4/6 is equal to:
![(10)/(12)/(4)/(6)=(10*6)/(12*4)=(60)/(48)=(5)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/7ikji2wj3tv7bbju6hp4njdb89rbphukg8.png)
Now, using fraction bars, we first need to represent 10/12 as the green line.
So, if the black line is the whole bar, the green line is 10/12 and the red bar represents 4/6.
Now, we can see that we can complete a green bar with one red bar and 1 yellow bar, where every yellow bar is 1/4 of the red one.
So, the division of 10/12 by 4/6 is:
1 (red) + 1/4 (yellow) = 5/4
1 + 1/4 = 5/4