The possible values of the asterisks in the fractions 12* / 23* and 121 / 22* that would allow you to reduce the fractions are:
12*/23* -> 121/231
121 / 22* -> 1211 / 2112
To replace the asterisk in the fraction 12* / 23* with a digit that allows you to reduce the fraction, you need to find a digit that is a common factor of 12 and 23.
The common factors of 12 and 23 are 1 and 12. Since 12 is already in the denominator, we can replace the asterisk with 1 to reduce the fraction.
The reduced fraction is 121 / 231, which is equal to 12/23.
To replace the asterisks in the fraction 121 / 22* with digits that allow you to reduce the fraction, you need to find two digits that are common factors of 121 and 222.
The common factors of 121 and 222 are 1, 11, 121, and 222. Since 121 is already in the numerator and 222 is already in the denominator, we can replace the asterisks with 1 and 1, respectively, to reduce the fraction.
The reduced fraction is 1211 / 2112, which is equal to 121/211.
Therefore, the possible values of the asterisks in the fractions 12* / 23* and 121 / 22* that would allow you to reduce the fractions are:
12*/23* -> 121/231
121 / 22* -> 1211 / 2112