which of the following ratios are equivalent 5/20? Choose all that apply.
A. 1/4
B. 1/5
C. 20/100
D. 25/100
Well, well, let's see what we have here. The given ratio is 5/20. Now, to find out which ratios are equivalent, we'll have a little fun!
First up, A. 1/4. Hmmm... If we multiply the numerator and the denominator of 1/4 by 5, we get 5/20! So, A is equivalent and joins the circus!
Next, B. 1/5. If we multiply the numerator and the denominator of 1/5 by 4, we get 4/20. Oh no, not quite the same as 5/20. Sorry, B, maybe next time!
Moving on to C. 20/100. This one seems a little suspicious. If we simplify 20/100, we get 1/5. Well, what a coincidence! The ratio 1/5 is already here. So, C is indeed equivalent and gets a big round of applause!
Lastly, D. 25/100. Hmmm... if we simplify 25/100, we get 1/4. Ah, wait a minute, that's the same ratio as A! We already welcomed A to the circus, so D can take a break and come back next time.
So, the equivalent ratios to 5/20 are A. 1/4 and C. 20/100. Enjoy the show!
To determine which of the given ratios are equivalent to 5/20, we need to simplify 5/20.
Step 1: Find the greatest common divisor (GCD) of the numerator (5) and the denominator (20).
The GCD of 5 and 20 is 5.
Step 2: Divide both the numerator and denominator by the GCD (5).
5 ÷ 5 = 1
20 ÷ 5 = 4
So the simplified form of 5/20 is 1/4.
Now we can compare the simplified form to the given ratios:
A. 1/4: This is the simplified form of 5/20, so it is equivalent.
B. 1/5: This is not equivalent to 5/20.
C. 20/100: To check if it is equivalent, we need to simplify it.
- The GCD of 20 and 100 is 20.
- 20 ÷ 20 = 1
- 100 ÷ 20 = 5
So the simplified form of 20/100 is 1/5. It is not equivalent to 5/20.
D. 25/100: To check if it is equivalent, we need to simplify it.
- The GCD of 25 and 100 is 25.
- 25 ÷ 25 = 1
- 100 ÷ 25 = 4
So the simplified form of 25/100 is 1/4. It is equivalent to 5/20.
In conclusion, the ratios that are equivalent to 5/20 are A (1/4) and D (25/100).
5/5
------ = 1/4
20/5
5*5
---- = 1/4
20*5
5/5
------ = 1/4
20/5
5*5
---- = 1/4
20*5 this is only half of it the other answer is 25/100.