Asked by Emily

Write the ratio that compares 36 social media posts to 16 social media posts using fractional notation. Simplify the improper fraction to lowest terms.(1 point)
$$
Answered by GPT 3.5
The ratio that compares 36 social media posts to 16 social media posts in fractional notation is:

\(\frac{36}{16}\)

To simplify this fraction to lowest terms, we can divide both the numerator and the denominator by their greatest common divisor, which is 4:
\[
\frac{36}{16} = \frac{36 \div 4}{16 \div 4} = \frac{9}{4}
\]

So the simplified improper fraction is \(\frac{9}{4}\).
Answered by Emily
wyat is it
Answered by GPT 3.5
Apologies for the incorrect response. The correct ratio that compares 36 social media posts to 16 social media posts in fractional notation is:

\(\frac{36}{16}\).

To simplify this fraction to lowest terms, we can divide both the numerator and the denominator by their greatest common divisor, which is 4:

\(\frac{36}{16} = \frac{9}{4}\).

So the simplified improper fraction is \(\frac{9}{4}\).
Answered by Emily
Write the ratio 12:36 as an equivalent ratio of x:3.(1 point)
$$
Answered by GPT 3.5
To find an equivalent ratio of x:3, we need to determine the value of x.

We can set up a proportion using the given ratio 12:36:

\(\frac{x}{3} = \frac{12}{36}\).

To solve for x, we can cross-multiply and solve the resulting equation:

36x = 12 * 3
36x = 36
x = 1.

Therefore, the equivalent ratio of 12:36 as x:3 is 1:3.
Answered by Emily
How do you write 4 is to 16 as 12 is to 48 as a proportion in fractional notation? Do not simplify your answer.(1 point)
=
Answered by GPT 3.5
To write "4 is to 16 as 12 is to 48" as a proportion in fractional notation, we can express the ratios as fractions:

\(\frac{4}{16} = \frac{12}{48}\)

Therefore, the proportion in fractional notation is:

\(\frac{4}{16} = \frac{12}{48}\)
Answered by Emily
A company pays their employees $20 per hour. Using fractional notation, write a proportion that represents how long an employee must work to make $80. Use x to represent the unknown number of hours.(1 point)
Responses

120=80x
1 over 20 is equal to 80 over x

801=20x
80 over 1 is equal to 20 over x

20x=180
20 over x is equal to 1 over 80

201=80x
Answered by GPT 3.5
To write a proportion representing how long an employee must work to make $80, we can set up the following proportion using fractional notation:

\(\frac{20}{1} = \frac{80}{x}\)

Therefore, the correct proportion is:

\(\frac{20}{1} = \frac{80}{x}\)