Ratio Division Calculator

This Ratio Division Calculator allows you to divide an amount by a specific ratio (with multiple ratio values, for example 2:5:9:11:18, click on the "Example" buttons for ratio division examples), if you are new to ratio division or want to understand the formulas used in ratio division you should use our Divide Ratio Calculator as this ratio division calculator assumes you already understand the basics of ratio division, you may also find our Equivalent Ratio Calculator useful. A ratio is a numerical comparison of 2 or more quantities and indicate the relative size of each quantity. Ratios are used in a number of daily activities and business markets, the Ratio Division Calculator can be used to divide a specific ratio, you can also access additional Ratio Calculators for application in math, engineering and other every day scenarios.

Ratio Divider | Ratio Division Calculator
Multiple Ratio Examples [e.g. 1:2:3:4:5]
Ratio Share Examples [e.g. 1:2, 3:5, 7:8]

Note: The Ratio Divider Calculator can handle two types of ratio structure. You can enter ratios with 2 or more values by entering the multi ratio and separating the ratio values using a colon : (for example 2:4:6:9:3). Alternatively, you can enter separate ratios for multi share ratio split of the share amount by entering separate ratios using commas (for example 3:8,2:5,4:9).

Ratio Divider Calculator Results
Ratio Divider Statistics based on
The Total Number of participants is See note 3
The Total Number of Shares s is See note 4
The Share Value (Individual Ratio Share Distribution shown below) is See note 5
Individual Ratio Share Distribution
Total Number of Shares Formula and Calculation
Individual Share Value Formula and Calculation
Ratio Divider Calculator Input Values
Amount (total amount to share) is
Ratios for the division of shares is

Notes: How to Calculate Ratios using the Ratio Division Calculator

The following notes refer to the number adjacent the ratio calculation property:

  1. Amount 1 Enter total amount to be shared out. As an example, it could be several people sharing their lottery winning. So, enter the jackpot amount.
  2. Ratio 2 Enter ratio, numbers separated by: (decimal numbers are allowed). In our lottery example, the ratio is the share that each person gets perhaps based on the amount they contribute to the lottery tickets. so, 5 people, putting different amounts into the lottery fund could be 1:5:2:3:9
  3. Number Count (Number of shareholders) 3 Count of numbers in ratio. In our lottery example, the number count is the number of people in the group who are entitled to a share of the lottery winnings.
  4. Total number of shares 4 The Total number of shares is the
    1. "total of of the ratio values" when calculating a ratio with two or more values where each value is a share
    2. "100" when calculating the ratio share using multiple ratio share values
    In our lottery example, the total amount of shares is the sum of each person's ratio, so 1:5:2:3:9 = 1 + 5 + 2 + 3 +9 = 20 shares.
  5. Amount per share 5 Amount per share (amount divided by number of shares). This is self-explanatory, in our lottery example we have 20 shares, the figure here is the value of one share = the total lottery win divided by the number in the group (20).
  6. Decimal places 6 You can refine the calculations by controlling the number of decimal places that the calculator calculates to. The default is 2 decimal places. In our lottery example, we think that if a group of you are lucky enough to win the lottery, decimal places won't be a problem. For the rest of us, this is useful for helping to calculate share index split and more refined answers for math homework etc.

Related Ratio Calculators

If you found the ratio division calculator useful then you will probably like the ratio calculators below, each contains detailed information on specific math ratio formula to help you understand how to calculate ratios with a supporting ratio calculator for each example.

Instructions: How to use the Ratio Division Calculator

Ratio division is as simple as calculating the sum of all shares, then dividing the amount by the total of all shares to define the value of one share. The single share amount can then by multiplied by each individual ratio split to calculate the value of each amount. The sum of all amounts calculated in the ratio should, when summed up, equal the total original amount. Completing the final sum of ratio amounts is a useful way to check that you have your ratio calculations correct, alliteratively you can use the ratio calculators on icalculator to check the math for you, lets look at how to use the ratio division calculator.

  1. The ratio should be entered as numbers separated by a colon, e.g. 1:2:3
  2. There is no limit to the amount of numbers in the ratio, and decimal numbers are allowed
  3. There are example buttons below to demonstrate different inputs: Example 1 uses integer(whole number) values in the ratio, Example 2 includes decimal numbers. Ratio Division examples 2 and 4 are similar to Ratio Division example 2, just a little more complex.
  4. Calculations can be saved to a table by clicking the "Add to Table" button. (The table appears the first time the button is clicked)

What Is a Ratio?

In mathematical terms, a ratio is the quantitative relation between two amounts, a ratio defines the number of times one value contains or is contained within the other related value. A ratio can also be defined as the relationship between two or more things when compared in quantity, amount or size, for example the ratio of cost between previous metals, strength of different construction materials and their tolerances.

Examples of Ratios

Utility costs - the chargeable rate per unit - see the Electrical Consumption Calculator for examples where costs are calculated as a direct relation (ratio) to units consumed.

Staff Costs - where individuals are paid or charge a specific amount per hour - see the Time Sheet Calculator for examples of how staffing costs are calculated on the number of hours completed at a fixed hourly rate.

Relative Payroll Calculations - the ratio of amounts paid toward income tax, medical and pension commitments can be expressed as a ratio of income received or salary package - see the United Stated $55k Salary Example

Gambling - Where ratios are referred to as odds of winning.

How can Ratios be expressed?

Ratios can be expressed in a numbers of ways, as a decimal, a fraction as a related comparison or as is more commonly seen a percentage. for example a ratio of 1 to 2 can be expressed as:

  1. 1-2 is a ratio expressed in using a hyphen, whilst this is quite commonly used it should be avoided as the hyphen also represents the minus sign in math and can be confusing in long algorithms or if using computer code or computers to process a math calculation
  2. 1:2 is a ratio expressed in typical math format using a colon
  3. 1 to 2 is a ratio expressed in written words
  4. 1 per 2 is a ratio expressed in written words
  5. 0.5 is a ratio expressed as a decimal number
  6. 50% is a ratio expressed as a percentage
  7. ½ is a ratio expressed as a fraction

Note: The colon is the preferred mathematical written means of communicating a ratio where as verbal communication normally uses a percentage as it is typically easer to visualise and comprehend a percentage figure when comparing relative quantities.

Simplifying Ratios in Math

Simplification in math is always easier for communicating and resolving a problem, whether complex or simple math. Simplifying ratios is no exception and the simplification of ratios makes for simpler communication as a percentage when communicating relative values verbally. As an example, lets say we have a ratio of 12:16, this can be simplified to 3:4 or the ratio expressed verbally as 75%. You can use the Ratio Calculator to compute related ratios and, the smallest ratio in figurative terms and identify the lowest common denominator with a ratio.

Is a Percentage a Ratio ?

Yes, a percentage figure is a a ratio. A percentage is a number expressed as a fraction of 100, so a percentage is a ratio of a number of unit of 100. A Percentage is a special ratio with a single number expressed and followed by a percent sign (%), or the abbreviations 'pct ' / 'pc ' though the use of 'pc ' is less common that 'pct '.

Exploring Ratios

We hope you found the Ratio Division Calculator useful and it helped improve your understanding of ratio calculations and how to divide ratios. You can increase your knowledge of ratios using the ratio calculators and guides below. Before you look at the next ratio tutorial, please take a second to rate this calculator, it helps us to focus our resources and build more free calculators for you and others to use.

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