Question

4.65 in fraction

Answer 1

4 65/100 simplified

Answer 2

To convert the decimal 4.65 into a fraction, you can follow these steps:

1. **Separate the whole number and the decimal part**:
- The whole number is 4.
- The decimal part is 0.65.

2. **Convert the decimal part to a fraction**:
- 0.65 can be expressed as \( \frac{65}{100} \) because there are two digits after the decimal point.

3. **Simplify the fraction**:
- The fraction \( \frac{65}{100} \) can be simplified:
- 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 with the fractional part**:
- So, \( 4.65 \) can be written as \( 4 + \frac{13}{20} \).
- This is the same as \( \frac{4 \times 20 + 13}{20} = \frac{80 + 13}{20} = \frac{93}{20} \).

Therefore, \( 4.65 \) as a fraction is \( \frac{93}{20} \).

Answer 3

To simplify the mixed number \( 4 \frac{65}{100} \), follow these steps:

1. **Convert the mixed number to an improper fraction**:
- Multiply the whole number by the denominator and add the numerator:
\[
4 \times 100 + 65 = 400 + 65 = 465
\]
- So, \( 4 \frac{65}{100} \) can be expressed as:
\[
\frac{465}{100}
\]

2. **Simplify the fraction**:
- Find the greatest common divisor (GCD) of 465 and 100. The GCD is 5.
- Now divide both the numerator and the denominator by their GCD:
\[
\frac{465 \div 5}{100 \div 5} = \frac{93}{20}
\]

So, \( 4 \frac{65}{100} \) simplified is \( 4 \frac{13}{20} \) or as an improper fraction, \( \frac{93}{20} \).