What is 4.65 converted to a fraction? The answer should be given in simplest form

Question

4 13/20
4/65
4 65/100
4 6/5

Answer 1

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

1. Separate the whole number from the decimal: \(4.65\) can be written as \(4 + 0.65\).

2. Convert the decimal part to a fraction: The decimal \(0.65\) can be expressed as \(\frac{65}{100}\).

3. Simplify the fraction \(\frac{65}{100}\): Both the numerator and the denominator can be divided by \(5\): \[ \frac{65 \div 5}{100 \div 5} = \frac{13}{20}. \]

4. Combine the whole number and the fraction: Therefore, \(4.65\) can be written as \[ 4 + \frac{13}{20} = 4 \frac{13}{20}. \]

Thus, the simplest form of \(4.65\) as a fraction is \(4 \frac{13}{20}\).

Among the options given, the correct answer is: 4 13/20.