To convert 4.65 to a fraction in simplest form, you can follow these steps:
-
Separate the whole number and decimal:
4.65 can be written as \( 4 + 0.65 \). -
Convert the decimal to a fraction:
\( 0.65 \) is the same as \( \frac{65}{100} \). -
Reduce the fraction \( \frac{65}{100} \):
The greatest common divisor (GCD) of 65 and 100 is 5.
Dividing both the numerator and denominator by 5 gives:
\[ \frac{65 \div 5}{100 \div 5} = \frac{13}{20} \] -
Combine with the whole number:
So, \( 4.65 = 4 + \frac{13}{20} = \frac{4 \times 20 + 13}{20} = \frac{80 + 13}{20} = \frac{93}{20} \).
Therefore, the simplest form of 4.65 as a fraction is: \[ \frac{93}{20} \]
So, among the provided choices, the equivalent form for 4.65 is: \[ 4 \frac{13}{20} \]
The correct answer is 4 Start Fraction 13 over 20 End Fraction.