Question

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 \( 1 \frac{5}{8} \).