Question

5+(- 6 целых 2/3) ; 8+(-2 целых 5/7) ; -4 целых 2/5 +3,4

Answer 1

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Answer 2

1) 5 + (- 6 2/3) = [раскрываем скобки, приводим к общ. знаменателю и делаем вторую дробь неправильной] 15/3 - 20/3 = - 5/3 = - 1 2/3

2) 8 + (- 2 5/7) = [раскрываем скобки, приводим к общ. знаменателю и делаем вторую дробь неправильной] 56/7 - 19/7 = 37/7 = 5 2/7

3) - 4 2/5 + 3,4 = [приводим к общ. знаменателю и делаем обе дроби неправильными] - 22/5 + 17/5 = - 5/5 = - 1

Answer 3

To solve these problems, we need to first convert the mixed numbers to improper fractions.

1. 5+(-6 целых 2/3)

To convert 6 целых 2/3 to an improper fraction, we multiply the whole number (6) by the denominator of the fraction (3) and add the numerator (2) to get the numerator of the improper fraction:

6 целых 2/3 = (6 × 3 + 2)/3 = 20/3

Now we can substitute the improper fraction into the expression and simplify:

5 + (-20/3) = (15/3) + (-20/3) = -5/3

Therefore, 5+(-6 целых 2/3) = -5/3

2. 8+(-2 целых 5/7)

To convert 2 целых 5/7 to an improper fraction, we multiply the whole number (2) by the denominator of the fraction (7) and add the numerator (5) to get the numerator of the improper fraction:

2 целых 5/7 = (2 × 7 + 5)/7 = 19/7

Now we can substitute the improper fraction into the expression and simplify:

8 + (-19/7) = (56/7) + (-19/7) = 37/7

Therefore, 8+(-2 целых 5/7) = 37/7

3. -4 целых 2/5 + 3.4

To add these two numbers, we need to convert -4 целых 2/5 to a decimal. To do this, we first convert the mixed number to an improper fraction:

-4 целых 2/5 = -(4 × 5 + 2)/5 = -22/5

Now we can add the two numbers:

-22/5 + 3.4 = -22/5 + 17/5 = -5/5 = -1

Therefore, -4 целых 2/5 + 3.4 = -1.