Question

А)2-5/6 б)5-3 2/11 в)3 2/5+1 1/5 г)4 3/5+3 1/6

Answer 1

Ответ:

Пошаговое объяснение:

А)2-5/6= 1 1/6

Б)5-3 2/11= 1 9/11

В)3 2/5+1 1/5=4 3/5

Г)4 3/5+3 1/6=23/5+19/6 =138/30+95/30=233/30= =7 23/30

Answer 2

Let's solve the given expressions step by step:

a) 2 - 5/6: To subtract fractions, we need a common denominator. The common denominator for 6 and 1 is 6. 2 can be written as 12/6 (since 2 * 6 = 12). Now we can subtract the fractions: 12/6 - 5/6 = (12 - 5) / 6 = 7/6

b) 5 - 3 2/11: We have a mixed number, which can be converted to an improper fraction. To do that, we multiply the whole number (3) by the denominator (11) and add the numerator (2): 3 * 11 = 33 33 + 2 = 35

The expression becomes: 5 - 35/11

To subtract fractions, we need a common denominator. The common denominator for 11 and 1 is 11. 5 can be written as 55/11 (since 5 * 11 = 55). Now we can subtract the fractions: 55/11 - 35/11 = (55 - 35) / 11 = 20/11

c) 3 2/5 + 1 1/5: We have two mixed numbers, and we can add them by converting them to improper fractions. 3 2/5 can be converted to (3 * 5 + 2)/5 = 17/5 1 1/5 can be converted to (1 * 5 + 1)/5 = 6/5

The expression becomes: 17/5 + 6/5 = (17 + 6) / 5 = 23/5

d) 4 3/5 + 3 1/6: Similarly, we convert the mixed numbers to improper fractions: 4 3/5 can be converted to (4 * 5 + 3)/5 = 23/5 3 1/6 can be converted to (3 * 6 + 1)/6 = 19/6

The expression becomes: 23/5 + 19/6

To add fractions, we need a common denominator. The common denominator for 5 and 6 is 30. We can convert both fractions to have a denominator of 30: (23/5) * (6/6) = 138/30 (19/6) * (5/5) = 95/30

Now we can add the fractions: 138/30 + 95/30 = (138 + 95) / 30 = 233/30

So, the simplified expressions are: a) 7/6 b) 20/11 c) 23/5 d) 233/30