Use the given tables to compare the ratios 3:5
and 2:3
More rows need to be added to the tables to be able to compare the ratios
3:5 = 2:3
3:5 > 2:3
3:5 < 2:3
To compare the ratios 3:5 and 2:3, we can add more rows to the tables and analyze the values.
Table 1:
Ratio 3:5
---------------------------------
| Ratio | Values |
---------------------------------
| 3:5 | 3, 6, 9, 12, 15 |
---------------------------------
Table 2:
Ratio 2:3
---------------------------------
| Ratio | Values |
---------------------------------
| 2:3 | 2, 4, 6, 8, 10 |
---------------------------------
Now, let's compare the ratios:
To compare the values in the tables, we can cross-multiply:
For the ratio 3:5:
3/5 = 6/10
3/5 = 18/30
3/5 = 0.6
For the ratio 2:3:
2/3 = 4/6
2/3 = 12/18
2/3 = 0.6667
Comparing the ratios:
3:5 (0.6) < 2:3 (0.6667)
Therefore, we can conclude that 3:5 is less than 2:3.
To compare the ratios 3:5 and 2:3, we can extend both ratios to have a common denominator.
The given tables:
Table 1:
| 3 | 5 |
Table 2:
| 2 | 3 |
To compare the ratios, we need to find a common denominator for both ratios. In this case, the common denominator will be 15, as it is the least common multiple of 5 and 3.
To extend the tables, we can multiply the numerator and denominator of each ratio by the same number. In this case, we can multiply the first ratio by 3 and the second ratio by 5 to get:
Table 1:
| 3 * 3 | 5 * 3 |
| 9 | 15 |
Table 2:
| 2 * 5 | 3 * 5 |
| 10 | 15 |
Now, we can compare the two extended ratios:
9:15 and 10:15
To compare the ratios, we can look at the corresponding values in each table. In this case, we can see that 9 is less than 10. Therefore, the ratio 3:5 is less than the ratio 2:3.
So, the comparison would be:
3:5 < 2:3
To compare the ratios 3:5 and 2:3, we need to have the same denominator for both ratios.
Assuming the tables are as follows:
Table 1:
3
5
Table 2:
2
3
We can add more rows to each table to compare the ratios:
Table 1:
3
5
6
10
Table 2:
2
3
4
6
Now we can see that 3:5 is greater than 2:3 as 6/10 > 4/6.
So, the correct statement is:
3:5 > 2:3