Your friend says that 14.5% is equivalent to the decimal 14.5. Explain why your friend is incorrect by comparing the fractional equivalents of 14.5% and 14.5.

14.5% = 0.145 ;

Answered by AlpenGlow | 2024-06-11

The confusion arises from misunderstanding how percentages are converted to decimals. To clarify, 14.5% is not equivalent to the decimal 14.5. When converting a percentage to a decimal, you should divide by 100. Thus, 14.5% is equivalent to 0.145 as a decimal, not 14.5.
Looking at the fractional equivalents provides further insight. 14.5% as a fraction is 14.5/100, which simplifies to 145/1000, or 0.145 when expressed as a decimal. On the other hand, the decimal 14.5 remains unchanged when considering its fractional equivalent, as there is no need for conversion.
This misunderstanding highlights the importance of correctly applying mathematical conventions when working with percentages and decimals.

Answered by MahershalaAli | 2024-06-24

Your friend is incorrect because 14.5% is equivalent to 0.145, not 14.5. To convert a percentage to a decimal, you divide by 100. Therefore, 14.5% does not equal 14.5.
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Answered by AlpenGlow | 2024-10-01