Question

6 3/20 - (1 5/6 + 2 2/15) + 7 13/60 - (5 5/12 - 2 9/20 )

Answer 1

Ответ:

будет:6.43333333333

Answer 2

To simplify the expression:

6 3/20 - (1 5/6 + 2 2/15) + 7 13/60 - (5 5/12 - 2 9/20)

First, let's work on the expressions inside the parentheses:

1 5/6 + 2 2/15 = 1 + 5/6 + 2 + 2/15 = (1 + 2) + (5/6 + 2/15) = 3 + (25/30 + 4/30) = 3 + 29/30

Now, let's simplify the second set of parentheses:

5 5/12 - 2 9/20 = 5 - 2 + 5/12 - 9/20 = 3 + 5/12 - 9/20

To add fractions, we need a common denominator, which in this case is 60. So, let's find equivalent fractions with a denominator of 60:

(5/12) * (5/5) = 25/60 (9/20) * (3/3) = 27/60

Now, we can subtract:

3 + 25/60 - 27/60 = 3 - 2/60 = 3 - 1/30

Now, let's simplify the overall expression:

6 3/20 - (3 + 29/30) + 7 13/60 - (3 - 1/30)

Now, subtract the expressions inside the parentheses:

6 3/20 - 3 - 29/30 + 7 13/60 - 3 + 1/30

Now, simplify each part separately:

6 - 3 = 3 3/20 - 29/30 = (3/20) - (29/30) = (9/60) - (58/60) = (-49/60)

7 - 3 = 4 13/60 + 1/30 = (13/60) + (2/60) = 15/60 = 1/4

Now, add up all the simplified parts:

3 + (-49/60) + 4 + (1/4) = 3 + 4 + (1/4) - (49/60)

Now, find a common denominator, which is 60:

3 + 4 + (1/4) - (49/60) = (12/4) + (15/4) + (1/4) - (49/60)

Now, add the fractions:

(12/4 + 15/4 + 1/4) - (49/60) = (28/4) - (49/60)

Now, simplify each fraction:

28/4 = 7 49/60 is already in its simplest form.

Now, subtract:

7 - (49/60) = (7*60/60) - (49/60) = (420/60) - (49/60) = (420 - 49)/60 = 371/60

So, the simplified expression is 371/60.