To simplify the fraction 160/200 using the greatest common factor (GCF), we first need to determine the GCF of the numerator (160) and the denominator (200).
The factors of 160 are:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The factors of 200 are:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The greatest common factor of 160 and 200 is 40.
Now, we divide both the numerator and the denominator by the GCF:
160 ÷ 40 = 4
200 ÷ 40 = 5
So, 160/200 simplifies to 4/5.
The simplifying options given are:
- 45
- 4 fifths
- 16/20
- 16 over 20
- 40/50
- 40 over 50
- 40
Among these, "4 fifths" is the correct simplified form of 160/200.