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How to Convert 2/15 to a Decimal Not Using Division

Which method can be employed to convert the fraction 2/15 to a decimal without performing division?

A) Fractional Expansion
B) Decimal Decomposition
C) Multiplicative Inversion
D) Fractional Conversion

1 Answer

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Final answer:

The method to convert 2/15 to a decimal without division is Decimal Decomposition, which requires expanding the fraction, but an easier way is to recognize that 1/15 is approximately 0.0666, and multiplying by 2 gives 0.1332 as an approximation.

Step-by-step explanation:

To convert the fraction 2/15 to a decimal without performing division, one method that can be employed is Decimal Decomposition. This process involves expanding the fraction until the denominator is a power of 10, which can easily be converted to a decimal. In this case, we could try to find a number to multiply 15 by to get 100 or a simpler number, but that doesn't easily work without division. However, recognizing common fractions and their decimal equivalents could be helpful. Since 1/15 is approximately 0.0666, multiplying this by 2 gives us 0.1332 as an approximation without direct division..

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