Determine if two ratios are equivalent Complete using < > =
2:4 [ ] 7:36
To determine if two ratios are equivalent, you need to check if they simplify to the same fraction.
Let's simplify the first ratio, 2:4. Both numbers have a common factor of 2, so we can divide them both by 2 to simplify:
2 ÷ 2 = 1
4 ÷ 2 = 2
Therefore, the simplified form of the first ratio is 1:2.
Now, let's simplify the second ratio, 7:36. These numbers don't have any common factors other than 1, so the ratio cannot be simplified further.
The simplified forms of the two ratios are:
1:2 and 7:36
Now, we can determine if the two ratios are equivalent by comparing their simplified forms.
1:2 is not the same as 7:36, so we can say that the two ratios are not equivalent.
Therefore, the correct symbol to fill in the blank is < (less than), indicating that the first ratio, 2:4, is smaller than the second ratio, 7:36.