Question

6 7/30 -(5 1/6 -2 2/15)+ (6 5/9 - 5 5/9)​

Answer 1

Ответ:

$4\frac{1}{5}$

Пошаговое объяснение:

Answer 2

To calculate the expression:

6 7/30 - (5 1/6 - 2 2/15) + (6 5/9 - 5 5/9)

Let's break it down step by step:

1. Subtract 5 1/6 from 2 2/15:

   (5 1/6 - 2 2/15) = (31/6 - 32/15)

To subtract fractions, we need a common denominator, which is 30 in this case:

(31/6 - 32/15) = (31/6 - 64/30)

Now, find a common denominator and subtract:

(31/6 - 64/30) = (155/30 - 64/30)

(155/30 - 64/30) = 91/30

2. Subtract 5 5/9 from 6 5/9:

   (6 5/9 - 5 5/9) = (61/9 - 56/9)

Now, subtract the fractions:

(61/9 - 56/9) = 5/9

3. Now, we can put it all together:

   6 7/30 - (5 1/6 - 2 2/15) + (6 5/9 - 5 5/9)

   = 6 7/30 - (91/30) + (5/9)

4. Now, we have two mixed numbers and a fraction to add and subtract:

   6 7/30 - (91/30) + (5/9)

First, subtract the fractions in the parentheses:

6 7/30 - (91/30) + (5/9) = 6 7/30 - 91/30 + 5/9

Now, find a common denominator for the fractions:

(6 7/30 - 91/30 + 5/9) = (6 7/30 - 91/30 + 50/90)

(6 7/30 - 91/30 + 50/90) = (6 7/30 - 91/30 + 50/90)

Now, add/subtract the fractions:

(6 7/30 - 91/30 + 50/90) = (6 7/30 - 91/30 + 50/90) = (6 7/30 - 91/30 + 50/90)

= (6 - 91 + 50)/30 + 50/90

Now, perform the arithmetic:

(6 - 91 + 50)/30 + 50/90 = (-35/30) + (50/90)

To simplify further, find a common denominator for the two fractions:

(-35/30) + (50/90) = (-35/30) + (50/90) * (3/3)

= (-35/30) + (150/90)

Now, add the fractions:

(-35/30) + (150/90) = (-35/30) + (150/90) = (-35/30) + (150/90)

= (-7/6) + (5/3)

Now, find a common denominator for these fractions:

(-7/6) + (5/3) = (-7/6) + (10/6)

= (-7 + 10)/6

Finally, perform the addition:

(-7 + 10)/6 = 3/6 = 1/2

So, the result of the expression is 1/2.