( 1 2/7 : 2 4/7 - 2/5 × 5/6) + 2 2/5: 2 2/15

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вопрос

To add the two mixed numbers, we first convert them to improper fractions:

1 2/7 = 9/7
2 4/7 = 18/7
2 2/5 = 12/5
2 2/15 = 32/15

Now we can perform the operations:

(9/7 - (2/5 × 5/6)) + 12/5 + 32/15
= (9/7 - 1/6) + 12/5 + 32/15
= (33/42 - 7/42) + 60/42 + 32/15
= 26/42 + 60/42 + 32/15
= 86/42 + 32/15

Now we need to add the two mixed numbers:

86/42 = 43/21
32/15 = 32/15

(43/21) + (32/15) = (43/21 + 64/30)

Now, we find a common denominator for 21 and 30, which is 210:

(43/21) = (43x10/21x10) = 430/210
(64/30) = (64x7/30x7) = 448/210

(430/210) + (448/210) = 878/210

878/210 = 439/105

Therefore, the final answer is 439/105.