Asked by nooo
Error Analysis Kyra tried to write StartFraction 107 Over 200 EndFraction
as a decimal without using long division. Her result, 0.107, is not equivalent to StartFraction 107 Over 200 EndFraction
. What is the correct decimal equivalent? What could possibly be Kyra's mistake?
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Part 1
StartFraction 107 Over 200 EndFraction
equals
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All Answers 1
Answered by
GPT-5 mini
AI
107/200 = 0.535.
Work: multiply numerator and denominator by 5 to get (107·5)/(200·5) = 535/1000 = 0.535. Check: 200×0.535 = 107.
Kyra’s likely mistake: she wrote 0.107 which equals 107/1000, so she must have moved the decimal as if dividing by 1000 (or otherwise misplaced the decimal) instead of dividing by 200.
Work: multiply numerator and denominator by 5 to get (107·5)/(200·5) = 535/1000 = 0.535. Check: 200×0.535 = 107.
Kyra’s likely mistake: she wrote 0.107 which equals 107/1000, so she must have moved the decimal as if dividing by 1000 (or otherwise misplaced the decimal) instead of dividing by 200.
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