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Step-by-Step Solution
Two decimal places give . Both 24 and 100 divide by 4, leaving , and 6 and 25 share no factor, so that is as far as it goes. Using denominator 10 instead of 100 gives , which is 2.4 — ten times too big.
Answer: A)
0.24 is written as a fraction and then reduced as far as it will go. Which fraction is the result?
Class 6DecimalsDecimals
Key idea: Decimal ↔ fraction
**Decimal to fraction**: count the decimal places. Put the digits over 10, 100, 1000 accordingly. So 0.7 = 7/10. 0.43 = 43/100. 1.25 = 1 + 25/100 = 1 + 1/4 = 5/4.
**Fraction to decimal**: if the denominator is already 10, 100, 1000, …, just write the numerator with the right number of decimal places. 9/10 = 0.9. 27/100 = 0.27. For other fractions (e.g. 3/4), divide: 3 ÷ 4 = 0.75.
**Fraction to decimal**: if the denominator is already 10, 100, 1000, …, just write the numerator with the right number of decimal places. 9/10 = 0.9. 27/100 = 0.27. For other fractions (e.g. 3/4), divide: 3 ÷ 4 = 0.75.
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