Question

ВЫПОЛНИТЬ ДЕЙСТВИЯ 6 7/15 - 2 3/15 9 11/16+4 3/16 -2 2/16 6 5/14 - 2 11 /14 19 11/35 -12 29/35

Answer 1

1) 4 4\15
2) 11 12\16
3) 3 8\14
4) 7 17\35

Answer 2

To solve the expression 6 7/15 - 2 3/15 + 9 11/16 + 4 3/16 - 2 2/16 + 6 5/14 - 2 11/14 + 19 11/35 - 12 29/35, we can follow these steps:

1. Convert all the mixed numbers to improper fractions: - 6 7/15 = (6 * 15 + 7) / 15 = 97/15 - 2 3/15 = (2 * 15 + 3) / 15 = 33/15 - 9 11/16 = (9 * 16 + 11) / 16 = 155/16 - 4 3/16 = (4 * 16 + 3) / 16 = 67/16 - 2 2/16 = (2 * 16 + 2) / 16 = 34/16 - 6 5/14 = (6 * 14 + 5) / 14 = 89/14 - 2 11/14 = (2 * 14 + 11) / 14 = 39/14 - 19 11/35 = (19 * 35 + 11) / 35 = 676/35 - 12 29/35 = (12 * 35 + 29) / 35 = 449/35

2. Perform the arithmetic operations: - 97/15 - 33/15 + 155/16 + 67/16 - 34/16 + 89/14 - 39/14 + 676/35 - 449/35

To add or subtract fractions, we need to have a common denominator. In this case, the least common multiple (LCM) of 15, 16, and 35 is 560. Let's convert all the fractions to have a denominator of 560:

- (97/15) * (560/560) = 3392/560 - (33/15) * (560/560) = 1848/560 - (155/16) * (35/35) = 5425/560 - (67/16) * (35/35) = 2325/560 - (34/16) * (35/35) = 1190/560 - (89/14) * (40/40) = 3560/560 - (39/14) * (40/40) = 1560/560 - (676/35) * (16/16) = 10816/560 - (449/35) * (16/16) = 7184/560

3. Now, we can add and subtract the fractions: - 3392/560 - 1848/560 + 5425/560 + 2325/560 - 1190/560 + 3560/560 - 1560/560 + 10816/560 - 7184/560

Combining the numerators: - (3392 - 1848 + 5425 + 2325 - 1190 + 3560 - 1560 + 10816 - 7184) / 560

Simplifying the numerator: - 19736 / 560

4. Simplify the fraction: - 19736 divided by 560 is 35 with a remainder of 336. So the fraction is 35 336/560.

5. Reduce the fraction: - The numerator and denominator have a common factor of 8. Dividing both by 8 gives us 4 42/70.

Therefore, the solution to the expression 6 7/15 - 2 3/15 + 9 11/16 + 4 3/16 - 2 2/16 + 6 5/14 - 2 11/14 + 19 11/35 - 12 29/35 is 4 42/70.

Let me know if you have any other questions!