10 9/16-(3 11/12+4 4/9) по действиям

(10 9/16) - (3 11/12 + 4 4/9) = 10 9/16 - 3 11/12 - 4 4/9

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

10 9/16 = (10 x 16 + 9) / 16 = 169 / 16 3 11/12 = (3 x 12 + 11) / 12 = 47 / 12 4 4/9 = (4 x 9 + 4) / 9 = 40 / 9

Now, substitute the fractions back into the original expression:

169/16 - 47/12 - 40/9

To simplify, find a common denominator. In this case, the common denominator is 144.

Multiply the numerator and denominator of each fraction by the appropriate factor to obtain a denominator of 144.

169/16 = (169 x 9) / (16 x 9) = 1521/144 47/12 = (47 x 12) / (12 x 12) = 564/144 40/9 = (40 x 16) / (9 x 16) = 640/144

Now, substitute the simplified fractions into the expression:

1521/144 - 564/144 - 640/144

To combine the fractions, simply subtract the numerators:

1521 - 564 - 640 = 317/144

Therefore, the answer is 317/144.