To convert the decimal 4.65 to a fraction, first separate the whole number from the decimal.
4.65 can be expressed as:
- Whole number part: 4
- Decimal part: 0.65
Next, convert the decimal part (0.65) to a fraction.
0.65 can be written as 65/100. Now, simplify this fraction: \[ \frac{65}{100} = \frac{13}{20} \]
So, 4.65 can be expressed as: \[ 4 + \frac{13}{20} \] This can also be written as: \[ 4 \frac{13}{20} \]
Among the options provided, the correct answer is B: 4 and 13/20.