Question

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

Answer 1

полное решение во вложении

Answer 2

To solve the expression, let's first convert the mixed numbers to improper fractions:

10 9/16 = (10 * 16 + 9)/16 = 169/16

3 11/12 = (3 * 12 + 11)/12 = 47/12

4 4/9 = (4 * 9 + 4)/9 = 40/9

Now let's substitute these values back into the expression:

169/16 - (47/12 + 40/9)

To simplify, we need to find a common denominator for the fractions in the parentheses. The least common multiple (LCM) of 12 and 9 is 36. So, we'll convert the fractions:

169/16 - (47/12 + 40/9)

= 169/16 - (47/12 * 3/3 + 40/9 * 4/4)

= 169/16 - (141/36 + 160/36)

Now that the fractions have the same denominator, we can combine them:

= 169/16 - (141 + 160)/36

= 169/16 - 301/36

To subtract the fractions, we need a common denominator. The least common multiple (LCM) of 16 and 36 is 144. So, we'll convert the fractions:

= (169/16 * 9/9) - (301/36 * 4/4)

= 1521/144 - 1204/144

Now we can subtract the fractions:

= (1521 - 1204)/144

= 317/144

The final result is 317/144.