To convert the decimal number 2.64 to a mixed number, we can separate it into its whole number and fractional parts.
- The whole number part is 2.
- The decimal part 0.64 can be converted to a fraction.
To convert 0.64 into a fraction:
- 0.64 can be expressed as \( \frac{64}{100} \).
- We can simplify \( \frac{64}{100} \) by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4: \[ \frac{64 \div 4}{100 \div 4} = \frac{16}{25} \]
Combining both parts, we get: \[ 2.64 = 2 + 0.64 = 2 \frac{16}{25} \]
Thus, the equivalent mixed number for 2.64 is: \( 2 \frac{16}{25} \)
Among the given options, the correct answer is: 2 16/25