Question

Convert a decimal to a fraction.
What is 4.65 converted to a fraction? The answer should be given in simplest form.
Answer: 4 13/20

Answer 1

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

1. **Separate the whole number from the decimal**:
The whole number is 4.

2. **Convert the decimal part (0.65) to a fraction**:
- 0.65 can be written as 65/100.
- Simplify 65/100 by finding the greatest common divisor (GCD). The GCD of 65 and 100 is 5:
- Divide both the numerator and the denominator by 5:
\[
\frac{65 \div 5}{100 \div 5} = \frac{13}{20}
\]

3. **Combine the whole number and the fraction**:
- Thus, 4.65 can now be expressed as:
\[
4 \frac{13}{20}
\]

Therefore, the decimal 4.65 converted to a fraction in simplest form is \( 4 \frac{13}{20} \).