Ratio Calculator

If you want to find and simplify ratios? then use our Ratio Calculator that will fastly and accurately find and simplify ratios for free.

A:
B:
C:
D:
Please wait... loading-icon

Table of Contents:

Introduction to Ratio Calculator:

A ratio calculator is an online source that is used to find the comparison between two or more two quantities that are the same. It helps you to evaluate two quantities fractions into the simplest form in a fraction of a second.

Ratio Calculator with steps

Our ratio solver is a valuable tool for everyone that is used in various fields such as mathematics, finance, and science to compare quantities between different sets of data. Additionally, a ratios calculator can simplify the process of comparing and analyzing ratios.

What is Ratio?

Ratio is defined as quantitative that makes the relationship between two numbers, representing the relative sizes between quantities. It is denoted in the form of a fraction or with a symbol “:”. The numerator is the first quantity at the top and the denominator is the second quantity at the bottom.

For example, if you have 5 mangoes and 3 oranges, then the ratio of mango to oranges is equal to 5:3, or it is written in the form of fraction 5/3. Ratio helps in understanding proportions, rates, and comparisons between different quantities.

How to Calculate Ratio Using Ratios Calculator?

The ratio calculation involves the quantities that can be compared and shows how this method converts the ratio into a simplified form. It includes a simple step-by-step guide that helps you to understand how the ratio method works easily. You can also use a ratio calculator to further facilitate the process.

  1. First, the calculator for ratio finds which two quantities should be compared and then expresses them in the simplest form.
  2. For comparing the two quantities, the first quantity is the numerator, and the second is the denominator as it is present in fractions.
  3. Then the calculator with ratios finds the greatest common factor of numerator a or denominator by using the prime factorization method.
  4. After finding the factor, it finds the common factor between them. Then it takes the greatest factor from both the numerator and denominator factor value.
  5. Then it divides the numerator or denominator factor by the greatest common factor one by one.
  6. After division, you get the simplest fraction and write it down as a ratio factor but it becomes a reduced fraction as a:b.

That's the basic process for calculating a ratio which is not complicated to compare two quantities between each other.

Solved Example of Ratio:

Let's see an example of the ratio with a solution to know how to do manual calculations and to understand the ratio calculator's working method.

Example:

I traveled 60 miles in 2 hours. Assuming my speed doesn’t change, how far will I travel in 3 hours?

Solution:

To solve this problem use the ratio method, first, establish the relationship between distance and time from the given data.

Given that you traveled 60 miles in 2 hours, calculate the rate of travel:

$$ Rate \;=\; \frac{Distance}{ Time} $$

$$ Rate \;=\; \frac{60 \;miles}{2 \;hours} \;=\; \frac{30\; miles}{hour} $$

Now, we can use this rate to predict how far you will travel in 3 hours:

$$ Distance \;=\; Rate \times Time $$

$$ Distance \;=\; \frac{30 \;miles}{hour \times 3 \;hours} \;=\; 90\; miles $$

So, if your speed remains constant, you will travel 90 miles in 3 hours.

How to Use Ratio Solver?

The ratios calculator has a simple layout that enables you to use it to calculate the comparison of different numbers with different methods.

Before entering the input function into the ratio calculator, you must follow some simple steps so that you get a smooth experience. These steps are:

  1. Enter the numerator value in the input box.
  2. Enter the denominator value in the second input box.
  3. Review your ratio values before hitting the calculate button to start the evaluation process.
  4. Click the “Calculate” button to get the result of your given ratio number problem.
  5. If you want to try out our ratio simplifier for the first time then you can use the load example to get a better understanding of the concept of ratio problem.
  6. Click on the “Recalculate” button to get a refresh page for more solutions of ratio problems

Outcome of Ratio Calculator:

The calculator for ratio gives you the solution to the given ratio question when you add the input function into it. It provides you with solutions with complete procedures. It may be included as:

  • Result option

When you click on the Result option it gives you a solution for the ratio problems

  • Possible steps

It provides you with a solution in which all the evaluation processes are present in a step-by-step method of the comparison between quantities questions when you click on this option.

Advantages of Using Ratio Simplifier:

The calculator with ratios provides you with multiple benefits whenever you use it to calculate problems and give you a solution. These benefits are:

  • It is a free-of-cost tool that enables you to use it anytime to find the ratio questions in real-time.
  • Ratio table calculator is an adaptable tool that allows you to get the solution of various kinds of ratio problems
  • You can try out our ratio finder to practice with more examples to get to know about ratios and make a strong hold on this concept
  • Our tool saves the time that you spend on doing the quantity comparison between two or more two problem calculations.
  • A ratio calculator is a trustworthy tool that provides you with accurate solutions whenever you use it to calculate ratio examples without any man-made mistakes.
  • Ratio solver provides the solution with a complete process in a stepwise method so that you get clarity on the ratio problems.
Related References
Frequently Ask Questions

What is 1/2 as a ratio?

The ratio of 1/2 is represented as "1 to 2" or "1:2". One part of the first quantity divides the second part of the second quantity.

If a:b=2:3 and b:c=4:5 then what is the ratio between a:b:c?

To find the ratio between a:b:c,first find a:b and b:c, you need to connect the ratios through the common term b.

Given: a:b = 2:3 and ๐‘:๐‘ = 4:5

First, identify the common term a: b.

Then, find the greatest common term a and b in both ratios.

Take the greatest value from the a and b factors.

Divide the great factor of a and b by the greatest common factor and you get the simplest ratio values.

Repeat this process to find b and c values.

After finding a,b, and c values, combine all the values for the final solution.

Let's solve it:

$$ ๐‘Ž:๐‘ \;=\; 2:3 $$

$$ ๐‘:๐‘ \;=\; 4:5 $$

To make the ๐‘ match, we need to multiply the first ratio by 4 and the second ratio by 3:

$$ 4 ร— 2 : 3 \;=\; 8 : 12 $$

$$ 3 ร— 4 : 5 \;=\; 12 : 15 $$

Now, the ratios both have b in terms of 12.

So, the ratio a:b:c is 8:12:5

For dividing all terms by the greatest common divisor, which is 4:

$$ 8 รท 4 \;=\; 2 $$

$$ 12 รท 4 \;=\; 3 $$

$$ 5 รท 4 \;=\; \frac{5}{4} $$

So, the simplified ratio is 2:3:5/4

How to Convert Ratios to Decimals?

To convert a ratio to a decimal, we perform the division method. Here are the steps:

Identify the ratio a:b, where a and b are the numbers in the ratio. Divide the first number by the second number: Divide a by b to get the decimal value. After division, you get the decimal number value.

Example:

Let's convert the ratio 3:5 to a decimal

Solution:

Given that

$$ a \;=\; 3\; and\; ๐‘ \;=\; 5 $$

Divide the first number by the second number: 3 รท 5

$$ 3 รท 5 \;=\; 0.6 $$

So, the ratio 3:5 as a decimal is 0.6

What is the Golden Ratio?

Golden Ratio is represented by the Greek letter phi (ฯ†). It is a mathematical constant value that used by mathematicians, artists, and scientists for centuries. It is approximately equal to 1.618033988749895.

Golden Ratio is derived from the Fibonacci sequence, in which each sum is precedent to the next consecutive number (0, 1, 1, 2, 3, 5, 8, 13, 21, and so on). As the sequence progresses, the ratio of Fibonacci numbers approaches the Golden Ratio. Golden Ratio can be written as:

$$ ฯ† \;=\; \frac{(1 + โˆš5)}{2} $$

How to Calculate the Ratio Between Two Numbers?

For the calculation of the ratio between two numbers, first, divide one number by the other.

First, determine the two numbers a and b, then divide the first number a by the second number: b. After division, the ratio is in the simplest form. If the ratio is not in simplest form, simplify it by dividing both numbers by their greatest common divisor (GCD).

Is This Tool Helpful