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Sagot :
Answer:
the smaller number is 1,035.
Step-by-step explanation:
The ratio 1,035:1,863 could be simplified to it's simplest form which is 5:9. I got my answer by doing the following 3 steps:
1. In the ratio 5:9, the larger number is 9, and the question is if that larger number is turned to 1,863, what number should replace the smaller number which is 5.
2. First of all, we should identify what number is multiplied to 9 in order for 9 to become 1,863, we could do that by dividing 1,863 by 9 equal parts, 1,863÷9 = 207, using that equation, we Identified that 9 is multiplied to 207 in order to get 1,863, (207 × 9 = 1,863).
3. Now, we should multiply the same number to 5,
(207 × 5 = 1,035), giving us our answer, 1,035.
PROOF:
My solution leads to a ratio which could be simplified to 5:9, that is, 1,035:1,863, we could Simplify 1,035:1,863 by Identifying 1,035 and 1,863's GCF (Greatest Common Factor), which we Identified earlier
as 207 by dividing the larger number (1,863) by 9. So,
we could now divide 1,035 by 207, which is 5, and 1,863 by 207, which is 9, giving us our simplified form that is 5:9, Proving that our answer ( 1,035 ) is guaranteed correct. I hope I helped.
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