To express 3.5 as a fraction, we can follow these steps:
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First, recognize that 3.5 can be separated into its integer and decimal parts:
3.5 = 3 + 0.5
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Next, convert the decimal part (0.5) into a fraction. The decimal 0.5 is equal to:
0.5 = \frac{5}{10} = \frac{1}{2} (after simplifying)
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Now, we can combine the integer 3 with the fraction we derived from the decimal:
3 = \frac{3}{1}
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To add the fraction to the whole number, we need a common denominator. The whole number 3 can be rewritten as a fraction with a denominator of 2:
3 = \frac{3 \times 2}{1 \times 2} = \frac{6}{2}
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Now we can add the two fractions:
\frac{6}{2} + \frac{1}{2} = \frac{6 + 1}{2} = \frac{7}{2}
Therefore, 3.5 expressed as a fraction is:
\frac{7}{2}
This means that 3.5 is equivalent to the fraction 7/2.