What is the fraction of 3.5

General
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what is the fraction of 3.5

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What is the fraction of 3.5?

To convert the decimal number 3.5 to a fraction, you can follow these steps:

1. Identify the Decimal Part

In the number 3.5, the decimal part is 0.5. The whole number part is 3.

2. Convert the Decimal Part to a Fraction

The decimal 0.5 can be written as a fraction over 10 since 0.5 is equal to 5 tenths. This makes it:

0.5 = \frac{5}{10}

3. Simplify the Fraction

The fraction \frac{5}{10} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5 in this case:

\frac{5}{10} = \frac{5 \div 5}{10 \div 5} = \frac{1}{2}

4. Combine with the Whole Number Part

Now, combine the simplified fraction with the whole number part:

3 + \frac{1}{2} = 3 \frac{1}{2}

5. Convert to Improper Fraction (Optional)

If you need it as an improper fraction (a fraction where the numerator is greater than the denominator), you can convert the mixed number:

3 \frac{1}{2} = \frac{(3 \times 2) + 1}{2} = \frac{6 + 1}{2} = \frac{7}{2}

Final Answer

So, the fraction form of 3.5 can be represented as either:

3 \frac{1}{2}

or

\frac{7}{2}

Both fractions accurately represent the decimal number 3.5, with \frac{7}{2} being the improper fraction format.