Question

1) 9 24/27+12 13/27 2)8-3 6/15 3)16 3/13 - 6 8/13 4)10 7/16-4 12/16 5) (20 16/25 + 13 9/25)- (23 4/14+7 13/14) 6) Какое наибольшее натуральное число удовлетворяет неравенству 1) n<206/13 2)324/16>n?

Answer 1

1) $9 \frac{24}{27} + 12 \frac{13}{27} = 22 \frac{10}{27}$
2) $8 - 3 \frac{6}{15} = 4 \frac{9}{15} = 4 \frac{3}{5}$
3) $16 \frac{3}{13} - 6 \frac{8}{13} = 9 \frac{8}{13}$
4) $10 \frac{7}{16} - 4 \frac{12}{16} = 5 \frac{11}{16}$
5) $(20 \frac{16}{25} + 13 \frac{9}{25}) - (23 \frac{4}{14} + 7 \frac{13}{14}) = 34 - 31 \frac{3}{14} = 2 \frac{11}{14}$
6)
   1)15;  2) 20

Answer 2

1. To add the fractions 9 24/27 and 12 13/27, first, we need to convert them to improper fractions:

9 24/27 = (9 * 27 + 24) / 27 = 261/27 12 13/27 = (12 * 27 + 13) / 27 = 325/27

Now, we can add the fractions: 261/27 + 325/27 = (261 + 325) / 27 = 586/27

The result is 586/27.

2. To subtract the fraction 3 6/15 from 8, we need to convert both to improper fractions:

8 = 8/1 3 6/15 = (3 * 15 + 6) / 15 = 51/15

Now, we can subtract the fractions: 8/1 - 51/15 = (8 * 15 - 51) / 15 = 69/15

The result is 69/15.

3. To subtract the fraction 6 8/13 from 16 3/13, we need to convert both to improper fractions:

16 3/13 = (16 * 13 + 3) / 13 = 211/13 6 8/13 = (6 * 13 + 8) / 13 = 86/13

Now, we can subtract the fractions: 211/13 - 86/13 = (211 - 86) / 13 = 125/13

The result is 125/13.

4. To subtract the fraction 4 12/16 from 10 7/16, we need to convert both to improper fractions:

10 7/16 = (10 * 16 + 7) / 16 = 167/16 4 12/16 = (4 * 16 + 12) / 16 = 76/16

Now, we can subtract the fractions: 167/16 - 76/16 = (167 - 76) / 16 = 91/16

The result is 91/16.

5. Let's simplify the expression step by step:

20 16/25 + 13 9/25 = (20 + 13) + (16/25 + 9/25) = 33 + 25/25 = 33 + 1 = 34

23 4/14 + 7 13/14 = (23 + 7) + (4/14 + 13/14) = 30 + 17/14 = 30 + 1 3/14

Now, let's subtract these two results:

34 - (30 + 1 3/14) = 34 - (30 + 17/14) = 34 - (30 + 1 3/14) = 34 - (30 1/14)

To subtract mixed numbers, we need to convert them to improper fractions:

30 1/14 = (30 * 14 + 1) / 14 = 421/14

Now, we can subtract the fractions: 34 - 421/14 = (34 * 14 - 421) / 14 = (476 - 421) / 14 = 55/14

The result is 55/14.

6. Неравенство 1) n < 206/13 говорит о том, что переменная "n" должна быть меньше значения 206/13. Неравенство 2) 324/16 > n гов