Question

5/6+5/18-(3,7/9-2,13/15)

Answer 1

Первое действие в скобках Второе сложение Третие вычитание

Answer 2

To simplify the expression, let's start by evaluating the nested expression within the parentheses first:

3 7/9 - 2 13/15

To subtract mixed numbers, we need to find a common denominator. In this case, the common denominator is 45:

(3 * 5 + 7) / 9 - (2 * 3 + 13) / 15 (15 + 7) / 9 - (6 + 13) / 15 22/9 - 19/15

Now, let's find a common denominator for the fractions 22/9 and 19/15. The common denominator is 45:

(22 * 5) / (9 * 5) - (19 * 3) / (15 * 3) 110/45 - 57/45

Now that we have a common denominator, we can subtract the fractions:

110/45 - 57/45 = (110 - 57) / 45 = 53/45

Now, let's substitute this result back into the original expression:

5/6 + 5/18 - (3 7/9 - 2 13/15) 5/6 + 5/18 - 53/45

To add or subtract fractions, we need to find a common denominator. The common denominator for 6, 18, and 45 is 90:

(5 * 15) / (6 * 15) + (5 * 5) / (18 * 5) - (53 * 2) / (45 * 2) 75/90 + 25/90 - 106/90

Now, we can add the fractions:

75/90 + 25/90 - 106/90 = (75 + 25 - 106) / 90 = -6/90

Simplifying the fraction further:

-6/90 = -1/15

Therefore, the final result is -1/15.