Dividing ratios with whole numbers involves understanding how to split a whole quantity into parts according to a given ratio. Here's how you can do it:
Steps to Divide Ratios with Whole Numbers
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Find the Total Number of Parts: Add up the individual parts of the ratio. This sum represents the total number of "shares" or "parts" the whole number will be divided into.
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Calculate the Value of One Part: Divide the whole number by the total number of parts (calculated in step 1). This will give you the value of a single "part" of the ratio.
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Determine the Value of Each Share: Multiply the value of one part (calculated in step 2) by the number representing each part in the original ratio. This provides the specific amount or value for each share.
Example
Let's say you want to divide the number 50 according to the ratio 2:3.
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Total Parts: 2 + 3 = 5 parts
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Value of One Part: 50 / 5 = 10
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Value of Each Share:
- Share 1: 2 parts * 10 = 20
- Share 2: 3 parts * 10 = 30
Therefore, dividing 50 in the ratio 2:3 gives you 20 and 30. You can verify this by ensuring 20 + 30 = 50.
Summary
Dividing a whole number according to a ratio involves finding the total parts, calculating the value of one part, and then multiplying the value of one part by the corresponding ratio numbers to find the individual share amounts. This technique effectively splits the whole into proportional amounts according to the specified ratio.
