Which of the following ratios is equivalent to start fraction 5 over 20 end fraction ?
A. The fraction is 1 over 4.
B. one-fifth
C. start fraction 20 over 100 end fraction
D. The fraction is 2 over 5.
D. The fraction is 2 over 5.
To simplify 5/20, we can divide the numerator and denominator by 5:
5 ÷ 5 = 1
20 ÷ 5 = 4
So the simplified fraction is 1/4.
To check the answer choices:
A. 1/4 is already simplified and equivalent to 5/20. This is a possible answer.
B. One-fifth is equivalent to 4/20, not 5/20. This is not the correct answer.
C. 20/100 can be simplified by dividing both the numerator and denominator by 20:
20 ÷ 20 = 1
100 ÷ 20 = 5
So this fraction is equivalent to 1/5, not 5/20. This is not the correct answer.
D. As we found earlier, 5/20 simplifies to 1/4. 2/5 is not equivalent to 1/4. This is not the correct answer.
Therefore, the correct answer is A. The fraction is 1 over 4.
tysm the person above me you helped a lot tysm this is a shoutout💙💙💙
All you needed was
5/20 = 1/4
Why does the bot go into this lengthy litany if at other times it merely
blurts out the answer ???
To determine which of the given ratios is equivalent to the fraction 5/20, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor.
Step 1: Find the greatest common divisor (GCD) of 5 and 20.
The GCD of 5 and 20 is 5.
Step 2: Divide both the numerator and denominator of the fraction by the GCD.
5 ÷ 5 = 1
20 ÷ 5 = 4
The simplified fraction is 1/4.
Now, let's examine the options provided:
A. The fraction is 1/4: This is the simplified form we obtained, so it is indeed equivalent to 5/20.
B. One-fifth: This ratio (1/5) is not equivalent to 5/20 because 5/20 is larger than 1/5.
C. Start fraction 20 over 100 end fraction: This fraction (20/100) can be simplified further to 1/5, which is not equivalent to 5/20.
D. The fraction is 2/5: This fraction is not equivalent to 5/20 since it is smaller than 5/20.
Therefore, the ratio equivalent to 5/20 is A. The fraction is 1/4.