104/64 as a mixed number

Answer 1

To convert the improper fraction \( \frac{104}{64} \) into a mixed number, follow these steps:

1. Divide the numerator by the denominator: \[ 104 \div 64 = 1 \quad \text{(the whole number part)} \]

2. Find the remainder: \[ 104 - (64 \times 1) = 104 - 64 = 40 \]

3. Write as a mixed number: \[ \frac{104}{64} = 1 \frac{40}{64} \]

4. Simplify the fractional part: The fraction \( \frac{40}{64} \) can be simplified. Find the greatest common divisor (GCD) of 40 and 64, which is 8: \[ \frac{40 \div 8}{64 \div 8} = \frac{5}{8} \]

Thus, the mixed number is: \[ 1 \frac{5}{8} \]

So, \( \frac{104}{64} \) as a mixed number is \( 1 \frac{5}{8} \).