Do we use ratios in the real world an d if not why are we learning this?

Ratios are hidden all over the real world. Whether you're measuring the speed of light, the rate of a chemical reaction, or the time it takes for a racecar to reach top speed, ratios are an integral part of quantifying real-life scenarios.

Can something that is infinite be a ratio?

Good question! Just to make it clear, value of infinity/infinity can be any number. The ratio can be 0, any finite value or infinity itself. On the other hand, we can say if we going to measure it quantitively, infinity at the numerator may not be equal to infinity at the denominator. So, we can not get any particular value from the ratio.

Can negative numbers be ratios?

Yes, ratios can be negative! For example, you could have _-3 / 4_ or _5 / -2_.

For the last problem would dividing 32.5 by 3 to get 10.83 then multiplying 10.83 by 6 and 12 be wrong? Because you don't get 65 you get 64.98 and 129.96.

I multiplied 32 and 1/2 by 2 because that gets me the answer of the 6 lollipops, and we are using fractions here not decimals :D

the straberry and smoothes problem makes no sence.

If you have a Hard time understanding it, try reading it again. If you are still stuck, don't worry, they are just questions for practice. Below the "check" button, there is a hyperlink "explain", click on it and it will explain the answer. Sorry for the late answer..

What is inverse proportion

Great question for sixth grade! Two nonzero quantities, x and y, are inversely proportional to each other if and only if their product xy is constant. This means that when x is multiplied by a nonzero factor, y is *divided* by that factor (for example, when x is doubled, y is halved). An example from real life involves speed, time, and distance. If the distance is held constant, then speed and time are inversely proportional to each other. For example, if you double your walking speed, then you would take half the amount of time to walk to school. Inverse proportionality relationships also occur in chemistry and physics. If the temperature of an ideal gas is held constant, then pressure and volume are inversely proportional to each other (Boyle’s Law). If the voltage of an electric circuit is held constant, then the circuit’s current and resistance are inversely proportional to each other (Ohm’s Law). Have a blessed, wonderful day!

This will not allow me to turn in my work its 9pm and it do tomorow. HELP.

I don't think you can turn in work on here but you can tell your teacher, and show them you did it.

how often will I see a ratio in the real world?

All the time, you drive in ratios (60 miles/hour), every recipe you follow is ratios, people often plan parties with ratios (2 deserts per person, or figuring out how much stuff you need to buy for the number of people you have). This does not even get into the practical uses of science, math, art, etc.

Main content

6th grade (Illustrative Mathematics)

Course: 6th grade (Illustrative Mathematics) > Unit 2

Lesson 10: Lesson 11: Representing ratios with tables

Ratio tables

Ratio tables

Google Classroom

Learn how to fill out tables of equivalent ratios.

A ratio table gives a bunch of equivalent ratios.

Let's look at an example where we'll build a ratio table.

Ben drinks

1

glass of milk for every

2

cookies that he eats:

We can use this ratio to begin a ratio table:

Glasses of milk	Cookies
$1$ ‍	$2$ ‍

If Ben drinks

2

glasses of milk, then he eats

4

cookies:

Let's use this to continue the ratio table:

Glasses of milk	Cookies
$1$ ‍	$2$ ‍
$2$ ‍	$4$ ‍

Notice that both of the ratios in the ratio table are equivalent:

\frac{1}{2} = \frac{2}{4}

If Ben drinks

4

glasses of milk, then he eats

8

cookies:

Let's use this to continue the ratio table:

Glasses of milk	Cookies
$1$ ‍	$2$ ‍
$2$ ‍	$4$ ‍
$4$ ‍	$8$ ‍

Notice that all of the ratios in the ratio table are equivalent:

\frac{1}{2} = \frac{2}{4} = \frac{4}{8}

Let's practice!

Problem set 1:

Problem 1A

Martha needs

28

strawberries for every

4

smoothies she makes.

Complete the table using equivalent ratios.

Strawberries	Smoothies
$28$ ‍	$4$ ‍
Your answer should be an integer, like $6$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍ an exact decimal, like $0.75$ ‍ a multiple of pi, like $12 pi$ ‍ or $2 / 3 pi$ ‍	$3$ ‍
$70$ ‍	Your answer should be an integer, like $6$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍ an exact decimal, like $0.75$ ‍ a multiple of pi, like $12 pi$ ‍ or $2 / 3 pi$ ‍

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Faith Waters
Posted 5 years ago. Direct link to Faith Waters's post “Do we use ratios in the r...”
Do we use ratios in the real world an d if not why are we learning this?
Button navigates to signup pageComment on Faith Waters's post “Do we use ratios in the r...”
(232 votes)
Answer
- Danny
  Posted 5 years ago. Direct link to Danny's post “Ratios are hidden all ove...”
  Ratios are hidden all over the real world. Whether you're measuring the speed of light, the rate of a chemical reaction, or the time it takes for a racecar to reach top speed, ratios are an integral part of quantifying real-life scenarios.
  Comment on Danny's post “Ratios are hidden all ove...”
  (184 votes)
Mak Kochendorfer
Posted 7 years ago. Direct link to Mak Kochendorfer's post “Can something that is inf...”
Can something that is infinite be a ratio?
Button navigates to signup pageComment on Mak Kochendorfer's post “Can something that is inf...”
(81 votes)
Answer
- southside joji
  Posted 3 years ago. Direct link to southside joji's post “Good question! Just to ma...”
  Good question! Just to make it clear, value of infinity/infinity can be any number. The ratio can be 0, any finite value or infinity itself. On the other hand, we can say if we going to measure it quantitively, infinity at the numerator may not be equal to infinity at the denominator. So, we can not get any particular value from the ratio.
  Comment on southside joji's post “Good question! Just to ma...”
  (65 votes)
Peterson, Chase
Posted 4 years ago. Direct link to Peterson, Chase's post “Can negative numbers be r...”
Can negative numbers be ratios?
Button navigates to signup pageComment on Peterson, Chase's post “Can negative numbers be r...”
(49 votes)
Answer
- Evan
  Posted 4 years ago. Direct link to Evan's post “Yes, ratios can be negati...”
  Yes, ratios can be negative!
  For example, you could have -3 / 4 or 5 / -2.
  Comment on Evan's post “Yes, ratios can be negati...”
  (55 votes)
Sudharshinis:)
Posted 2 years ago. Direct link to Sudharshinis:)'s post “What is inverse proportio...”
What is inverse proportion
Button navigates to signup pageComment on Sudharshinis:)'s post “What is inverse proportio...”
(17 votes)
Answer
- Ian Pulizzotto
  Posted 2 years ago. Direct link to Ian Pulizzotto's post “Great question for sixth ...”
  Great question for sixth grade!
  
  Two nonzero quantities, x and y, are inversely proportional to each other if and only if their product xy is constant. This means that when x is multiplied by a nonzero factor, y is divided by that factor (for example, when x is doubled, y is halved).
  
  An example from real life involves speed, time, and distance. If the distance is held constant, then speed and time are inversely proportional to each other. For example, if you double your walking speed, then you would take half the amount of time to walk to school.
  
  Inverse proportionality relationships also occur in chemistry and physics. If the temperature of an ideal gas is held constant, then pressure and volume are inversely proportional to each other (Boyle’s Law). If the voltage of an electric circuit is held constant, then the circuit’s current and resistance are inversely proportional to each other (Ohm’s Law).
  
  Have a blessed, wonderful day!
  Comment on Ian Pulizzotto's post “Great question for sixth ...”
  (36 votes)
Rose Roberts
Posted 5 years ago. Direct link to Rose Roberts's post “For the last problem woul...”
For the last problem would dividing 32.5 by 3 to get 10.83 then multiplying 10.83 by 6 and 12 be wrong? Because you don't get 65 you get 64.98 and 129.96.
Button navigates to signup pageComment on Rose Roberts's post “For the last problem woul...”
(19 votes)
Answer
- tianao.wang
  Posted 4 years ago. Direct link to tianao.wang's post “I multiplied 32 and 1/2 b...”
  I multiplied 32 and 1/2 by 2 because that gets me the answer of the 6 lollipops, and we are using fractions here not decimals :D
  Comment on tianao.wang's post “I multiplied 32 and 1/2 b...”
  (26 votes)
Kittylover16
Posted 4 years ago. Direct link to Kittylover16's post “the straberry and smoothe...”
the straberry and smoothes problem makes no sence.
Button navigates to signup pageComment on Kittylover16's post “the straberry and smoothe...”
(18 votes)
Answer
- PK
  Posted 8 months ago. Direct link to PK's post “If you have a Hard time u...”
  If you have a Hard time understanding it, try reading it again. If you are still stuck, don't worry, they are just questions for practice. Below the "check" button, there is a hyperlink "explain", click on it and it will explain the answer.
  
  Sorry for the late answer..
  Button navigates to signup page
  (13 votes)
MELCOLM
Posted a year ago. Direct link to MELCOLM's post “how often will I see a ra...”
how often will I see a ratio in the real world?
Button navigates to signup pageComment on MELCOLM's post “how often will I see a ra...”
(15 votes)
Answer
- David Severin
  Posted a year ago. Direct link to David Severin's post “All the time, you drive i...”
  All the time, you drive in ratios (60 miles/hour), every recipe you follow is ratios, people often plan parties with ratios (2 deserts per person, or figuring out how much stuff you need to buy for the number of people you have). This does not even get into the practical uses of science, math, art, etc.
  Comment on David Severin's post “All the time, you drive i...”
  (18 votes)
Vankerckhove, Will
Posted 4 years ago. Direct link to Vankerckhove, Will's post “This will not allow me to...”
This will not allow me to turn in my work its 9pm and it do tomorow. HELP.
Button navigates to signup pageComment on Vankerckhove, Will's post “This will not allow me to...”
(16 votes)
Answer
- Pikachu maia😺💫
  Posted 9 months ago. Direct link to Pikachu maia😺💫's post “I don't think you can tur...”
  I don't think you can turn in work on here but you can tell your teacher, and show them you did it.
  Button navigates to signup page
  (9 votes)
SamanthatoPotato
Posted 3 months ago. Direct link to SamanthatoPotato's post “so first you figure out h...”
so first you figure out how many of each thing that there is then figure out the said ratio.
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(12 votes)
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- FeanyxT
  Posted 3 months ago. Direct link to FeanyxT's post “wow round of applause to ...”
  wow round of applause to you
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  (5 votes)
Esayas Tewoldemedhin
Posted 3 months ago. Direct link to Esayas Tewoldemedhin's post “When are we going to use ...”
When are we going to use this
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- arandomperson3216
  Posted 2 months ago. Direct link to arandomperson3216's post “probably in algebra”
  probably in algebra
  Comment on arandomperson3216's post “probably in algebra”
  (4 votes)