Final answer:
To convert 0.7723 to a mixed number, separate the whole number part from the decimal part. The mixed number is 0 and 1103/1429.
Step-by-step explanation:
To convert 0.7723 to a mixed number, we need to separate the whole number part from the decimal part. The whole number part is the whole number part of the decimal, which is 0. The decimal part is the fractional part. To convert the decimal part to a fraction, we write the decimal as the numerator and 1 as the denominator, then simplify.
We have 0.7723 = 7723/10000. To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 7. So, 7723/10000 simplifies to 1103/1429.
Putting it all together, the mixed number for 0.7723 is 0 and 1103/1429.