Determine if two ratios are equivalent Complete using < > =
3/5 [ ] 18 out of 30
can someone help me learn this?
Divide the numerator and denominator of 18/30 by 6.
I got 3/5 ? Ohhh so its >
Whoa!!
3/5 = 3/5
Study the meanings of these symbols (although you certainly know =).
How is this equal?
Sure! To determine if two ratios are equivalent, you need to compare them and see if they represent the same value.
In this case, you are comparing the ratio 3/5 to the ratio 18 out of 30. To check if they are equivalent, you need to simplify both ratios to their simplest form.
Let's start with the first ratio: 3/5.
This ratio cannot be simplified any further because 3 and 5 do not have any common factors other than 1. So the simplified form of 3/5 is still 3/5.
Now let's move on to the second ratio: 18 out of 30.
To simplify this ratio, we need to find the greatest common divisor (GCD) of both numbers, which is the highest number that divides both 18 and 30 without leaving a remainder.
The factors of 18 are 1, 2, 3, 6, 9, and 18.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
The largest number that divides both 18 and 30 is 6. So, we divide both numerator and denominator by 6 to simplify the ratio:
18/30 ÷ 6/6 = 3/5
Therefore, the simplified form of 18 out of 30 is also 3/5.
Now, we can compare the simplified ratios:
3/5 = 3/5
Since they are equal, we can conclude that the two ratios, 3/5 and 18 out of 30, are equivalent.
So, the correct symbol to use in the blank of the statement "3/5 [ ] 18 out of 30" is "=".
I hope this explanation helped you understand how to determine if two ratios are equivalent!