Rewrite as a simplified fraction

Rewrite as a simplified fraction: 1.83

The correct answer and explanation is:

Answer:
1.83 as a simplified fraction is 183/100, which cannot be simplified further.

Explanation:

To convert the decimal 1.83 into a fraction, follow these steps:

1. Write the decimal as a fraction with a power of 10 denominator:
   Since 1.83 has two digits after the decimal point, multiply both numerator and denominator by 100 (because 10² = 100). 1.83=1.83×100100=1831001.83 = \frac{1.83 \times 100}{100} = \frac{183}{100}
2. Check if the fraction can be simplified:
   To simplify, find the greatest common divisor (GCD) of the numerator (183) and the denominator (100).
   • Factors of 183: 1, 3, 61, 183
   • Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
   The only common factor is 1, meaning 183/100 is already in simplest form.
3. Interpretation:
   The fraction 183/100 represents 183 parts out of 100, which is exactly 1.83 when converted back to a decimal.
4. Optional – Mixed number form:
   You can express 1.83 as a mixed number: 1831001 \frac{83}{100} But since the question asks for a simplified fraction, 183/100 is appropriate.

Summary:

• Converting decimals to fractions involves moving the decimal point to create a whole number numerator and using the corresponding power of 10 as denominator.
• Simplify the fraction by dividing numerator and denominator by their GCD.
• In this case, 1.83 equals 183100\frac{183}{100}, which is already simplified.

If you want me to explain how to convert any other decimal to a fraction or how to simplify more complex fractions, just let me know!