How do you write 5 is to 1 as 20 is to 4 as a proportion in fractional notation?

Question

A. 5 : 1 :: 20 : 4
B. 5/1 = 4/20
C. 5/4 = 1/20
D. 5/1 = 20/4

Answer 1

To express "5 is to 1 as 20 is to 4" as a proportion in fractional notation, we need to represent the relationship correctly. The correct option would equate the ratios of the two pairs.

The proportion can be written as:

\[ \frac{5}{1} = \frac{20}{4} \]

This indicates that the ratio of 5 to 1 is equal to the ratio of 20 to 4.

Now looking at the options provided:

A. 5 : 1 :: 20 : 4 (This correctly states the proportion in ratio notation, but does not use fractional notation) B. 5/1 = 4/20 (This would be incorrect because it does not represent the second ratio correctly) C. 5/4 = 1/20 (This also does not represent the proportions correctly) D. 5/1 = 20/4 (This correctly matches the proportion in fractional notation)

Therefore, the correct answer is:

D. 5/1 = 20/4

Answer 2

are you sure this is correct

Answer 3

Yes, I can confirm that the correct way to express the proportion "5 is to 1 as 20 is to 4" in fractional notation is:

\[ \frac{5}{1} = \frac{20}{4} \]

This means that the ratios of the two pairs are equal.

To verify:

• The ratio \( \frac{20}{4} \) simplifies to \( 5 \).
• Thus, \( \frac{20}{4} = 5 \) and \( \frac{5}{1} = 5 \) (since \( 5 \) divided by \( 1 \) is \( 5 \)).

Both sides equal \( 5 \), confirming that the proportions are indeed equivalent.

So the correct option from your previous list regarding fractional notation is:

D. 5/1 = 20/4

This is the correct representation of the given statement in fractional notation.