Convert to a Simplified Fraction 2.25

Problem

2.25

Solution

1. Identify the decimal as a sum of its whole number and fractional parts.

2.25=2+0.25

2. Rewrite the decimal part as a fraction with a power of 10 in the denominator based on the number of decimal places.

0.25=25/100

3. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 25.

25/100=1/4

4. Combine the whole number and the simplified fraction into an improper fraction.

2+1/4=8/4+1/4

5. Add the numerators to find the final simplified fraction.

8/4+1/4=9/4

Final Answer

2.25=9/4

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