To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. In this case, we have:
1/10 ÷ 5/12
To find the reciprocal of 5/12, we flip it, which gives us 12/5. Now we can multiply:
1/10 × 12/5
Simplifying the numerator and denominator:
(1 × 12) / (10 × 5) = 12/50
The fraction 12/50 can be simplified further by dividing both the numerator and denominator by their greatest common factor, which is 2. Doing so gives us:
6/25
So, 1/10 ÷ 5/12 simplifies to 6/25.