10 1/2 - 8 5/8 = 2 and 1/8?
Nope. 4/8 - 5/8 doesn't equal 1/8
10 1/2 = 10 4/8 = 9 12/8
9 12/8 - 8 5/8 = ?
10 1/2 - 8 5/8
= 21/2 - 69/8
Take L.C.M = 8
84 - 69 /8 = 15/8 = 1 7/8 or 1.8
To find the difference between two mixed fractions, you need to convert them into improper fractions and then subtract them.
Let's convert the mixed fractions to improper fractions:
10 1/2 = (10 * 2 + 1) / 2 = 21 / 2
8 5/8 = (8 * 8 + 5) / 8 = 69 / 8
Now, we can subtract the fractions:
21 / 2 - 69 / 8
To subtract fractions, both fractions need to have the same denominator. In this case, the least common denominator (LCD) between 2 and 8 is 8. Let's make both fractions have a denominator of 8:
21 / 2 * 4 / 4 = 84 / 8
69 / 8
Now, we can subtract the fractions:
84 / 8 - 69 / 8 = (84 - 69) / 8 = 15 / 8
The resulting fraction is 15/8.
To simplify it, we can express it as a mixed number:
15 divided by 8 is 1 remainder 7. So, 1 and 7/8 is the simplified form of 15/8.
Therefore, the correct answer is 1 and 7/8, not 2 and 1/8.