Answer:
To express the ratios in simplest form, we need to divide each term by their greatest common factor (GCF).
For the ratio 4 : 0.5 : 3, we first need to convert 0.5 to a fraction by multiplying both numerator and denominator by 10:
4 : 0.5 : 3 = 4 : 5/10 : 3 = 4 : 1/2 : 3
The GCF of 4, 1/2, and 3 is 1/2, so we divide each term by 1/2:
4 : 1/2 : 3 = 8/2 : 1/2 : 6/2 = 8 : 1 : 6
Therefore, the simplest form of 4 : 0.5 : 3 is 8 : 1 : 6.
For the ratio 7.5 : 15, we can divide each term by 7.5 to get:
7.5 : 15 = 1 : 2
Therefore, the simplest form of 7.5 : 15 is 1 : 2.
For the ratio 1/5 : 2, we can multiply both terms by 5 to get:
1/5 : 2 = 1/5 * 5 : 2 * 5 = 1 : 10
Therefore, the simplest form of 1/5 : 2 is 1 : 10.