Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [ratio]

For questions concerning the ratio of a certain quantity to another.

In mathematics, a ratio is a relationship between two quantities indicating how many times the first number contains the second. For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six (that is, $8:6$, which is equivalent to the ratio $4:3$). The numbers compared in a ratio can be any quantities of a comparable kind, such as objects, persons, lengths, or spoonfuls. A ratio is written "$a$ to $b$" or $a:b$, or sometimes expressed arithmetically as a quotient of the two.

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Is there a mathematical description of three-part ratios?

Rational numbers have many interpretations, but one of the simplest is as a ratio of one number to another. The fraction $1/2$ can be interpreted as the ratio 1:2 (i.e. one apple for every two oranges). Rational numbers are also considered an…
MathTrain
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Are ratios with zero defined?

Are ratios like $4:0$ or $0:4:0$ defined? I saw such ratios being used to describe the phenotype ratio in a mono-hybrid cross – tall plants:short plants $=0:4$.
Suzie Waters
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Solving proportions with $3$ ratios,$ x:3:y = -2:3:-4$

Proportion seems simple enough for me. Example is $4:x = 2:5,$ and the answer is $x = 10.$ My problem is how do I solve for proportions with $3$ ratios like $x:3:y = -2:3:-4$ ? Do I write it like $$\frac{\frac{x}{3}}{y} = \frac{\frac{-2}{3}}{-4}…
Cary Bondoc
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Turning an angle into a ratio of squares left/right:squares up/down

I'm a 9th grader in Algebra 1 right now and in my spare time I like programming, I am trying to re-create the game Pong right now but I am having a little problem. I know I am asking a question about programming and that I should be on…
user3580232
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If ratios like 4:0 and 2:0 are defined, then how can we determine if they are equivalent?

According to answer in this post ratios with zero on either side of them are defined: Are ratios with zero defined? But it raises another problem. How can we know if ratios 4:0 and 2:0 are equivalent? Normally we claim that ratios a:b and c:d are…
KarmaPeasant
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Which is faster between the tiger and the leopard given the relation between the number of paces they take and length of their paces?

$I.$ For every $4$ paces taken by the tiger, the leopard takes $5$ paces. $II.$ The total length of $10$ paces of the tiger is less than the total length of $9$ paces of the leopard. The answer can be found using: $A.$ Only statement I and not…
ANANYA AKHOURI
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Does the sign matter for proportionality?

This question arose from Physics, where the force on an object attached on a spring is proportional to the displacement to the equilibrium (that is, the rest position). Also, if the displacement to the equilibrium is positive, the force will be…
Sebi S
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How is a decibel a tenth of a Bel?

By definition, one Bel is log10(P2/P1) (in the power example) and one dB is 10log10(P2/P1), so it appears to me that one dB is ten Bels, not one-tenth of a Bel. Yet, many online publications, university publications, and others all seem to agree…
Noji
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Ratio between two numbers allowing positive and negative values

I'm working on a project analyzing how many research projects every EU region has been involved in in 2020. My lists show (1) the number of projects each region joined as coordinator, and (2) how many projects the region joined as participant. I…
Rodrigo
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Get numbers from ratios

How to get numbers from ratios? For example: The number of students in a school is 17500. The ratio between boys and girls is 4:3. How many boys and girls are there? Not only for this example, but I would like to learn and understand ratio…
Amit3581
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Could you help with the concept of ratio and income/expenditure?

Incomes of $A$ and $B$ are in the ratio $4:5$ and expenditures are also in the ratio $4:5$. Who saves more? Options: I) A II) B III) both save equally IV) cannot be determined on the basis of the information provided We've tried solving this by…
Pranjali Ingle
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If $x:y = 7:3$ , then find the value of $\frac{y}{x-y}$

If $x:y = 7:3$ , then can I in order to find the value of $\frac{y}{x-y}$ replace $x$ and $y$ with $7$ and $3$ respectively ?
Sunny
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How is $40$ related to $60$?

My problem with math is how I talk about it, the words of math. I know math is a language but I don’t translate it very well. For example, if you have $40$ units and I have $60$ units, from my perspective, you have a third fewer than I do. From…
IsaiahBenJamin
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Proportion questions related fourth proportions

I have a couple of basic Proportion questions that I am unable to solve. 18 men build a wall that is 140m long in 42 days. How long would it take 30 men to build a wall that is 100m long? In a factory, the ratio of male workers to female workers…
Muhammad Umar
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How do I calculate the aspect ratio of a width and height?

I am creating an image upload form. I want to restrict users from uploading images that are not of the aspect ratio of 16:9. What is the formula for calculating an aspect ratio such as this? If w = width, h = height, r = ratio In other words, how…
ShoeLace1291
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