To divide fraction by a fraction multiply numerator of the first fraction by the denominator of the second fraction and denominator of the first fraction by the numerator of the second fraction, i.e. ba÷dc=dcba=bcad.
After this you, possibly, need to reduce fraction.
Note! Rules for determining sign of the result are same as when dividing integers.
Example 1. Divide 125 by 711.
125÷711=12⋅115⋅7=13235.
Fraction is irreducible.
Answer: 13235.
Next example.
Example 2. Divide 1116 by 38.
381116=11⋅816⋅3=8848.
Reduce fraction: 8848=116.
Answer: 116.
Next example.
Example 3. Divide 739 by 25.
25739=5⋅739⋅2=3578.
Convert to mixed number if needed: 3578=2358.
Answer: 3578=2358.
Now, it is time to practice.
Exercise 1. Divide 52 by 121.
Answer: 524=454.
Next exercise.
Exercise 2. Divide 15 by −75.
Answer: -21. Hint: 15=115.
Last exercise.
Exercise 3. Divide −521 by −435.
Answer: 2512.