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You have 4/9 if a large bottle of cooking oil. You pour 3/5 of the cooking oil into a smaller bottle. How much of the entire larger bottle did you pour into the smaller bottle ??

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\\ \text{Given that you have 4/9 if a large bottle of cooking oil. }\\ \text{And you pour 3/5 of the cooking oil into a smaller bottle. }\\ \text{We need to find how much of the entire larger bottle did you}\\ \text{pour into the smaller bottle}.\\ \\ \text{so the amount of oil poured in the smaller bottle is}\\ \\ =(3)/(5)\text{ of the }(4)/(9)\text{ of larger bottle}\\ \\ =(3)/(5)* (4)/(9)\\ \\ =(12)/(45)\\ \\ =(4)/(15)

Hence you pour into the smaller bottle, 4/15 of the entire larger bottle

User Etienne Perot
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