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)
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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 \(\frac{9}{4}\).
wyat is it
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 \(\frac{9}{4}\).
Write the ratio 12:36 as an equivalent ratio of x:3.(1 point)
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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.
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)
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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:
\(\frac{4}{16} = \frac{12}{48}\)
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
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:
\(\frac{20}{1} = \frac{80}{x}\)
To write the ratio that compares 36 social media posts to 16 social media posts using fractional notation, we need to express the ratio as a fraction.
The ratio can be written as 36/16, where the numerator represents the number of social media posts and the denominator represents the number of posts being compared to.
To simplify the fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and denominator and then divide both by that number.
The GCD of 36 and 16 is 4. Dividing both the numerator and denominator by 4, we get:
36/16 = (36 ÷ 4) / (16 ÷ 4)
= 9/4
Therefore, the simplified improper fraction that represents the ratio is 9/4.