To find the ratio of gold to silver to bronze medals won by Belarus, we need to look at the number of each type of medal the country won and then simplify that ratio.
From the table, we see that Belarus won:
- 8 gold medals
- 0 silver medals
- 2 bronze medals
So, the initial ratio of gold to silver to bronze medals for Belarus is 8:0:2.
To simplify this ratio, we need to find the greatest common divisor (GCD) of the three numbers. Here, we observe that since one of the values is 0, it won't contribute to the ratio simplification process. Therefore, we directly simplify by considering the GCD of 8 and 2.
The GCD of 8 and 2 is 2.
Now, we divide each term of the ratio by 2:
- Gold: [tex]\( \frac{8}{2} = 4 \)[/tex]
- Silver: [tex]\( \frac{0}{2} = 0 \)[/tex]
- Bronze: [tex]\( \frac{2}{2} = 1 \)[/tex]
Hence, the simplified ratio of gold to silver to bronze medals won by Belarus is:
4:0:1.
