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

Answer 1

To express "5 is to 20 as 4" in fractional notation, you can set up the proportion as follows:

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

In this case, "x" represents the value that maintains the proportion. You can then solve for x or use this structure to represent the relationship in fractional form. If you're just looking to represent the statement as a proportion, it would look like:

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

If you need to simplify the left side, \(\frac{5}{20} = \frac{1}{4}\). Therefore, the proportion can also be expressed as:

\[ \frac{1}{4} = \frac{4}{x} \]

You can also find a specific value of x if needed: cross multiply to get:

\[ 1 \cdot x = 4 \cdot 4 \] \[ x = 16 \]

So, the full proportion could be expressed as:

\[ \frac{5}{20} = \frac{4}{16} \]

Answer 2

What does it look like as a ratio

Answer 3

To express "5 is to 20 as 4 is to x" using ratios, it can be written in the following format:

\[ 5 : 20 = 4 : x \]

This notation shows the two ratios being compared. If you're simply looking for the ratio of 5 to 20 and 4 to the unknown quantity \( x \), that is how it would be written.

If you want to simplify the ratios:

• The ratio \( 5 : 20 \) simplifies to \( 1 : 4 \) (since \( 5 \) and \( 20 \) can both be divided by \( 5 \)).
• The ratio \( 4 : x \) remains as it is unless you find \( x \).

So, the simplified relationship would look like:

\[ 1 : 4 = 4 : x \]

You can subsequently find \( x \) as explained earlier, but the ratio expression is accurately represented as above.