How do you find the ratio of 2 numbers?
To calculate a ratio, start by determining which 2 quantities are being compared to each other. For example, if you wanted to know the ratio of girls to boys in a class where there are 5 girls and 10 boys, 5 and 10 would be the quantities you're comparing. Then, put a colon or the word "to" between the numbers to express them as a ratio. In this example, you'd write "5 to 10" or "5:10." Finally, simplify the ratio if possible by dividing both numbers by the greatest common factor. To learn how to solve equations and word problems with ratios, scroll down! Show
Did this summary help you?YesNo Thanks to all authors for creating a page that has been read 2,913,404 times. A ratio is a mathematical term used to describe how much of one thing there is in comparison to another thing. Ratios are usually written in the following formats:
Used in mathematics and everyday life, you may have come across ratios without knowing it – for example in scale drawings or models, in baking and cooking, and even when converting currency for a holiday abroad. Ratios are useful when you need to know how much of one thing there needs to be in comparison with another thing. Example 1: In a bag of 20 sweets, the ratio of blue to pink might be 2:3 The use of ratio in this example will inform us that there would be 8 blue sweets and 12 pink sweets. (This question and the way to work it out is detailed below). Example 2: If you are making a cake, and you require 3 cups of flour and 2 cups of sugar to make enough to feed 10 people, then you can express that as the ratio 3:2. Practice Numerical Reasoning To scale the ingredients up to feed 20 people (to double the recipe size) you need to double the ingredients – so you would need 6 cups of flour and 4 of sugar (or 6:4). Key Ratio Facts
Sample Questions and Their SolutionsUnderstanding how to work out ratios is an important skill and can be particularly useful when applying for jobs where a good understanding of mathematics is required. It is a good idea to revise skills like this before taking numerical reasoning or other math-based aptitude tests. Here are the key ratio skills that you need to master: 1. How to Find the Ratio of Two ThingsExample Question Question: In a bag of 20 sweets, there are 8 blue sweets and 12 pink sweets. What is the ratio of blue to pink sweets? Show Answer2. How to Convert Ratios With Different UnitsExample Question Question: How should the scale factor of 3 cm : 15 m be expressed as a simplified ratio? Show Answer3. Working With Ratios That Include DecimalsExample Question Question: Simplify 10:2.5 Show Answer4. Using Ratios to Work out the Direct Proportions of QuantityExample Question Question: If you go to the shop and buy 4 apples for £0.64, how much would 11 apples cost? Show Answer5. How to Divide a Number by a RatioExample Question Question: Andrew and James have 400 sweets and they need to share them in the ratio 5:3. How many sweets does each of them receive? Show Answer6. How to Use Ratios to Find an Unknown NumberExample Question Question: The sweet company likes to put uneven numbers of sweets in their bags. They are currently creating a bag of blue and pink sweets in the ratio 4:6. If you get a bag with 12 blue sweets in it, how many will there be in total? Show AnswerPractice Numerical Reasoning Frequently Asked QuestionsWhat is the formula for calculating ratios?The formula you use for calculating ratios is a:b = a/b For example, the ratio of a and b is 3:5. You know that a = 86 and you need to find b. To calculate the ratio you would take the following steps: a:b = 3:5 What is the easiest way to calculate a ratio?Depending on the information you have, the easiest way to calculate a ratio is: Scenario A: What is 3:5 of $30?
Scenario B: What is the ratio of apples to lemons in a field of 100 apples and 80 lemons?
How do you calculate ratio analysis?Ratio analysis is an analytical technique that combines several financial ratios to assess a company’s financial position. Depending on the figures you are asked to find, you might use one, some, or all of these ratios: Liquidity
Solvency
Efficiency
Profit
To calculate these ratios, you simply need to enter the correct figures or enter these formulas into a program such as Microsoft Excel. How do you find the ratio in its simplest form?You can find a ratio’s simplest form by finding a number both sides of the ratio have in common and dividing them. For example, a ratio of 20:60. Both sides are multiples of 10. 20/10 = 2 The ratio then becomes 2:6 Or if you wanted to make it simpler both 2 and 6 are multiples of 2. 2/2 = 1 The final ratio is 1:3. What are the best programs to calculate ratios?To calculate ratio analysis there are several programs and apps you can use. These include:
How do you find the ratio of two numbers online?If you want to find the ratio of two numbers online you would use a ratio calculator such as the Calculator Soup. Is there a calculator for ratios?There are specific online calculators for ratios, but is it also possible to use a physical calculator to calculate your ratios. How do you do ratios on a calculator?The method you use to find ratios on a calculator differs depending on the information you have. However, you will follow the same easy steps you would use if you were to mentally calculate:
Alternatively, if you wanted to know the ratio of a figure, say 6:2 of $70, you would:
Therefore 6:2 of $70 is 52.5:17.5 SummaryRatios are a mathematical expression to compare units. They can be used as equivalent ratios to help you scale up numbers – for example, quantities of ingredients for baking a cake. In mathematical terms, they can be used to work out problems relating to direct proportion, where the increase or decrease in units occurs in the same ratio. Ratios can be simplified and, in most cases, it is preferable to give a simplified ratio as an answer. Like fractions, you can simplify a ratio by dividing it by the highest common factor. When using scales on drawings or models, ratios help to describe the relationship between the real-life item and the created one – allowing for accurate measurements as well as an idea of proportion. When trying to understand ratios, it is easiest to work with the same units. Remember, to fully explore a ratio, you need to use a whole number, so try to avoid creating any decimals when you are transforming units to match. Practicing ratio problems will make them much easier to understand. It is likely you will use ratios throughout your life and might be tested on math skills like these when applying for jobs in technical industries. What is the ratio formula?Ratio Formula
The general form of representing a ratio of between two quantities say 'a' and 'b' is a: b, which is read as 'a is to b'. The fraction form that represents this ratio is a/b. To further simplify a ratio, we follow the same procedure that we use for simplifying a fraction. a:b = a/b.
What is ratio give 2 examples?In mathematics, a ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
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