What is 4.65 converted to a fraction? The answer should be given in simplest form.(1 point)

Question

Responses

465
Start Fraction 4 over 65 End Fraction

465
4 Start Fraction 6 over 5 End Fraction

41320
4 Start Fraction 13 over 20 End Fraction

465100

Answer 1

To convert the decimal 4.65 to a fraction, follow these steps:

1. Split the decimal into a whole number and a fraction:
   \(4.65 = 4 + 0.65\)

2. Convert 0.65 into a fraction:
   \(0.65 = \frac{65}{100}\)

3. Simplify \(\frac{65}{100}\):
   Both 65 and 100 can be divided by 5.
   \(\frac{65 \div 5}{100 \div 5} = \frac{13}{20}\)

4. Add the whole number back to the fraction:
   \(4 + 0.65 = 4 + \frac{13}{20} = \frac{80}{20} + \frac{13}{20} = \frac{93}{20}\)

Thus, 4.65 can be expressed as \(\frac{93}{20}\).

However, looking at your options, no option contains \(\frac{93}{20}\).

If the options are intended to be evaluated for correctness based on the fraction's composition:

• 465 (not a fraction)
• Start Fraction 4 over 65 End Fraction (not equal to 4.65)
• 465 (not a fraction)
• 4 Start Fraction 6 over 5 End Fraction (not correct)
• 41320 (not a fraction)
• 4 Start Fraction 13 over 20 End Fraction (this means \(4 + \frac{13}{20}\), which equals 4.65)

Given this context, the closest and most accurate representation that matches 4.65, despite some misinterpretation, is: 4 \(\frac{13}{20}\).

Thus, the correct answer is: 4 Start Fraction 13 over 20 End Fraction.

Answer 2

so is it C?

Answer 3

Yes, option C: 4 Start Fraction 13 over 20 End Fraction is the correct answer. It accurately represents the decimal 4.65 when converted to a fraction in simplest form.