Convert a decimal to a fraction.

Question

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 \( 4 \frac{13}{20} \).