Answer: 13/8
Step-by-step explanation:
To convert the mixed numbers to improper fractions, we multiply the whole number by the denominator and then add the numerator.
For the first number, 2 8/9, we have:
2 * 9 + 8 = 18 + 8 = 26
For the second number, 5 1/3, we have:
5 * 3 + 1 = 15 + 1 = 16
Thus, the ratio 2 8/9 to 5 1/3 can be written as 26/16.
To simplify the fraction, we find the greatest common divisor (GCD) of 26 and 16, which is 2. We divide both the numerator and denominator by 2 to get the simplified fraction:
26/2 ÷ 16/2 = 13/8
Therefore, the ratio 2 8/9 to 5 1/3 can be expressed as the simplified fraction 13/8.
