Answer:
To simplify 9 1/8 - 2 1/4, we need to first convert the mixed numbers to improper fractions.
9 1/8 = (8 x 9 + 1)/8 = 73/8
2 1/4 = (4 x 2 + 1)/4 = 9/4
Now we can subtract the two fractions:
73/8 - 9/4
Since the two fractions have different denominators, we need to find a common denominator. The least common multiple of 8 and 4 is 8, so we can convert the second fraction to have a denominator of 8:
73/8 - (9/4)x(2/2) = 73/8 - 18/8 = 55/8
Therefore, 9 1/8 - 2 1/4 = 55/8, which is an improper fraction. If we want to convert it back to a mixed number, we can divide the numerator by the denominator:
55/8 = 6 7/8
So the simplified answer is 6 7/8. Answer: 6 7/8.