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The first step is to resolve the problem in the numerator of the fraction:
Resulting in the following:
We then proceed to reduce the numerator and denominator by 2.5 in order to obtain the below fraction:
\( 100+5-100+5 \)
Order of operations (PEMDAS) tells us to solve what's in the numerator first! The fraction bar acts like parentheses, so we must calculate 0.5 + 2 = 2.5 before dividing by 5.
Divide directly: . Since , your final answer is !
Either way works! You can add 0.5 + 2 = 2.5 then divide, OR convert first and add . Both give the same result.
Those answers come from misreading the problem! Students often think it's asking for or mixing up operations. Always check: we're dividing a small number (2.5) by 5, so the result must be less than 1.
Convert your answer back to decimal: . Then verify: ✓
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