<< Chapter < Page Chapter >> Page >

Write each ratio as a fraction: 4.6 to 11.5 2.3 to 0.69 .

  1. 2 5
  2. 10 3

Got questions? Get instant answers now!

Write each ratio as a fraction: 3.4 to 15.3 3.4 to 0.68 .

  1. 2 9
  2. 5 1
Got questions? Get instant answers now!

Some ratios compare two mixed numbers. Remember that to divide mixed numbers, you first rewrite them as improper fractions.

Write the ratio of 1 1 4 to 2 3 8 as a fraction.

Solution

1 1 4 to 2 3 8
Write as a fraction. 1 1 4 2 3 8
Convert the numerator and denominator to improper fractions. 5 4 19 8
Rewrite as a division of fractions. 5 4 ÷ 19 8
Invert the divisor and multiply. 5 4 · 8 19
Simplify. 10 19
Got questions? Get instant answers now!
Got questions? Get instant answers now!

Write each ratio as a fraction: 1 3 4 to 2 5 8 .

2 3

Got questions? Get instant answers now!

Write each ratio as a fraction: 1 1 8 to 2 3 4 .

9 22

Got questions? Get instant answers now!

Applications of ratios

One real-world application of ratios that affects many people involves measuring cholesterol in blood. The ratio of total cholesterol to HDL cholesterol is one way doctors assess a person's overall health. A ratio of less than 5 to 1 is considered good.

Hector's total cholesterol is 249 mg/dl and his HDL cholesterol is 39 mg/dl. Find the ratio of his total cholesterol to his HDL cholesterol. Assuming that a ratio less than 5 to 1 is considered good, what would you suggest to Hector?

Solution

First, write the words that express the ratio. We want to know the ratio of Hector's total cholesterol to his HDL cholesterol.

Write as a fraction. total cholesterol HDL cholesterol
Substitute the values. 249 39
Simplify. 83 13

Is Hector's cholesterol ratio ok? If we divide 83 by 13 we obtain approximately 6.4 , so 83 13 6.4 1 . Hector's cholesterol ratio is high! Hector should either lower his total cholesterol or raise his HDL cholesterol.

Got questions? Get instant answers now!
Got questions? Get instant answers now!

Find the patient's ratio of total cholesterol to HDL cholesterol using the given information.

Total cholesterol is 185 mg/dL and HDL cholesterol is 40 mg/dL.

37 8

Got questions? Get instant answers now!

Find the patient’s ratio of total cholesterol to HDL cholesterol using the given information.

Total cholesterol is 204 mg/dL and HDL cholesterol is 38 mg/dL.

102 19

Got questions? Get instant answers now!

Ratios of two measurements in different units

To find the ratio of two measurements, we must make sure the quantities have been measured with the same unit. If the measurements are not in the same units, we must first convert them to the same units.

We know that to simplify a fraction, we divide out common factors. Similarly in a ratio of measurements, we divide out the common unit.

The Americans with Disabilities Act (ADA) Guidelines for wheel chair ramps require a maximum vertical rise of 1 inch for every 1 foot of horizontal run. What is the ratio of the rise to the run?

Solution

In a ratio, the measurements must be in the same units. We can change feet to inches, or inches to feet. It is usually easier to convert to the smaller unit, since this avoids introducing more fractions into the problem.

Write the words that express the ratio.

Ratio of the rise to the run
Write the ratio as a fraction. rise run
Substitute in the given values. 1 inch 1 foot
Convert 1 foot to inches. 1 inch 12 inches
Simplify, dividing out common factors and units. 1 12

So the ratio of rise to run is 1 to 12 . This means that the ramp should rise 1 inch for every 12 inches of horizontal run to comply with the guidelines.

Got questions? Get instant answers now!
Got questions? Get instant answers now!

Find the ratio of the first length to the second length: 32 inches to 1 foot.

8 3

Got questions? Get instant answers now!

Questions & Answers

I'm interested in biological psychology and cognitive psychology
Tanya Reply
what does preconceived mean
sammie Reply
physiological Psychology
Nwosu Reply
How can I develope my cognitive domain
Amanyire Reply
why is communication effective
Dakolo Reply
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
Wekolamo Reply
please i need answer
Wekolamo
because it helps many people around the world to understand how to interact with other people and understand them well, for example at work (job).
Manix Reply
Agreed 👍 There are many parts of our brains and behaviors, we really need to get to know. Blessings for everyone and happy Sunday!
ARC
A child is a member of community not society elucidate ?
JESSY Reply
Isn't practices worldwide, be it psychology, be it science. isn't much just a false belief of control over something the mind cannot truly comprehend?
Simon Reply
compare and contrast skinner's perspective on personality development on freud
namakula Reply
Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
war
explain how nature and nurture affect the development and later the productivity of an individual.
Amesalu Reply
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
Zyryn Reply
good👍
Jonathan
and having a good philosophy of the world is like a sandwich and a peanut butter 👍
Jonathan
generally amnesi how long yrs memory loss
Kelu Reply
interpersonal relationships
Abdulfatai Reply
What would be the best educational aid(s) for gifted kids/savants?
Heidi Reply
treat them normal, if they want help then give them. that will make everyone happy
Saurabh
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply
Practice Key Terms 4

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Prealgebra' conversation and receive update notifications?

Ask