Simplifying Ratios & Sharing by Ratio
Dividing both terms of a ratio keeps its value; to share by ratio, find total parts first, then each part
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Dividing both terms of a ratio keeps its value; to share by ratio, find total parts first, then each part
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Sharing by ratio takes two steps. Step 1, simplify: divide both terms by a common factor — 4 : 6 = 2 : 3, the ratio value stays the same. Step 2, share: add the terms to get total parts (2 + 3 = 5), divide the total by the number of parts to get each part, then multiply by each term. The animated bar split makes sharing 20 items in a 2 : 3 ratio easy to see.
First simplify the given ratio by dividing out common factors step by step, then share the total by the simplest ratio: watch a bar split into two segments that grow part by part, see each share's count, and check that the two shares add back up to the total.