9 5/21 - 10 2/3 - 3 5/28

To subtract mixed numbers, we need to convert them to improper fractions first.

9 5/21 can be converted to an improper fraction as:

9 * 21 + 5 = 189 + 5 = 194 So, 9 5/21 can be rewritten as 194/21.

10 2/3 can be converted to an improper fraction as:

10 * 3 + 2 = 30 + 2 = 32 So, 10 2/3 can be rewritten as 32/3.

3 5/28 can be converted to an improper fraction as:

3 * 28 + 5 = 84 + 5 = 89 So, 3 5/28 can be rewritten as 89/28.

Now, the subtraction equation becomes:

194/21 - 32/3 - 89/28

Before we proceed, we need to find a common denominator for all fractions. The least common multiple (LCM) of 21, 3, and 28 is 84.

Converting the fractions to have a denominator of 84:

194/21 = (194 * 4) / (21 * 4) = 776/84 32/3 = (32 * 28) / (3 * 28) = 896/84 89/28 remains as it is.

Now, we can subtract the fractions:

776/84 - 896/84 - 89/28

Combining the numerators:

(776 - 896 - 89) / 84

Calculating the numerator:

776 - 896 - 89 = -209

The final result is:

-209/84