Question

5 6/7-3 6/8=? 7 8/11-4 8/10=? 1 7/5+ 6 7/6=? 3 14/5+4 14/7=?

Answer 1

Ответ:

Пошаговое объяснение:

5 6/7-3 6/8=5 48/56-3 42/56=2 6/56=2 3/28

7 8/11-4 8/10=7 80/110-4 88/110=3 8/110=3 4/55

1 7/5+ 6 7/6==1 42/30+6 35/30=7 77/30=9 17/30

3 14/5+4 14/7=5 4/5+6=11 4/5

Answer 2

To solve the given arithmetic expressions, let's simplify each operation step by step:

1. 5 6/7 - 3 6/8:

First, convert the mixed numbers to improper fractions: 5 6/7 = (7 * 5 + 6)/7 = 41/7 3 6/8 = (8 * 3 + 6)/8 = 30/8

Now, find a common denominator, which in this case is 56 (the least common multiple of 7 and 8).

41/7 = (41/7) * (8/8) = 328/56 30/8 = (30/8) * (7/7) = 210/56

Subtract the fractions: 328/56 - 210/56 = (328 - 210)/56 = 118/56

Simplify the result if possible: 118/56 = 59/28

Therefore, 5 6/7 - 3 6/8 is equal to 59/28.

2. 7 8/11 - 4 8/10:

Convert the mixed numbers to improper fractions: 7 8/11 = (11 * 7 + 8)/11 = 85/11 4 8/10 = (10 * 4 + 8)/10 = 48/10 = 24/5

The denominators are already the same, so subtract the fractions directly: 85/11 - 24/5 = (85 * 5 - 24 * 11)/(11 * 5) = (425 - 264)/55 = 161/55

Therefore, 7 8/11 - 4 8/10 is equal to 161/55.

3. 1 7/5 + 6 7/6:

Convert the mixed numbers to improper fractions: 1 7/5 = (5 * 1 + 7)/5 = 12/5 6 7/6 = (6 * 6 + 7)/6 = 43/6

Find a common denominator, which in this case is 30 (the least common multiple of 5 and 6).

12/5 = (12/5) * (6/6) = 72/30 43/6 = (43/6) * (5/5) = 215/30

Add the fractions: 72/30 + 215/30 = (72 + 215)/30 = 287/30

Therefore, 1 7/5 + 6 7/6 is equal to 287/30.

4. 3 14/5 + 4 14/7:

Convert the mixed numbers to improper fractions: 3 14/5 = (5 * 3 + 14)/5 = 29/5 4 14/7 = (7 * 4 + 14)/7 = 42/7 = 6

The denominators are already the same, so add the fractions directly: 29/5 + 6 = (29 + 30)/5 = 59/5

Therefore, 3 14/5 + 4 14/7 is equal to 59/5.