(9 9/14-7 10/21)×35+(11 2/15-8 3/25)×20+(9/32-9/32)×16

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вопрос

To simplify the expression, we first need to convert the mixed numbers into improper fractions.

9 9/14 = (9*14 + 9)/14 = 135/14

7 10/21 = (7*21 + 10)/21 = 152/21

11 2/15 = (11*15 + 2)/15 = 167/15

8 3/25 = (8*25 + 3)/25 = 203/25

Next, we calculate each part of the expression:

(135/14 - 152/21) × 35 = (945/98 - 456/98) × 35 = 489/98 × 35 = 1715/2

(167/15 - 203/25) × 20 = (1111/75 - 203/25) × 20 = (1489/75) × 20 = 2978/3

(9/32 - 9/32) × 16 = (0) × 16 = 0

Finally, we add the results together:

1715/2 + 2978/3 + 0 = (25725 + 19888 + 0) / 6 = 45613 / 6 = 7602.17

Therefore, (9 9/14 - 7 10/21) × 35 + (11 2/15 - 8 3/25) × 20 + (9/32 - 9/32) × 16 is approximately equal to 7602.17.