Are the ratios
25
45
and
15
27
proportional? Explain.
To determine if the ratios are proportional, we need to compare the two ratios and check if they are equal.
The first ratio is 25/45 and the second ratio is 15/27.
We can simplify the first ratio by dividing both the numerator and denominator by 5:
25 ÷ 5 = 5
45 ÷ 5 = 9
So, the first ratio simplifies to 5/9.
Comparing the two ratios:
5/9 and 15/27
We can simplify the second ratio by dividing both the numerator and denominator by 3:
15 ÷ 3 = 5
27 ÷ 3 = 9
So, the second ratio also simplifies to 5/9.
Now, we can see that both ratios simplify to the same value, 5/9. This means that the ratios are proportional.
To determine if the ratios are proportional, we need to compare the two ratios and see if they are equivalent.
The first ratio is 25:45, and the second ratio is 15:27.
To find out if these ratios are proportional, we need to simplify both ratios. We can do this by dividing both numbers in each ratio by their greatest common divisor (GCD).
The GCD of 25 and 45 is 5. So, when we divide both numbers by 5, we get:
25/5 : 45/5
This simplifies to:
5:9
Similarly, the GCD of 15 and 27 is 3. Dividing both numbers by 3, we get:
15/3 : 27/3
This simplifies to:
5:9
Since both simplified ratios are 5:9, we can conclude that the given ratios are proportional.