Question

(-3 1/4 + 2 1/6)*(2 2/11) - (-5/6 + 1 3/5) * (-4/5-1,2)

Answer 1

Ответ:

Пошаговое объяснение:

-3 1/4+2 1/6=-3 3/12+2 2/12=-1 1/12

-1 1/12*2 2/11=-13/12*24/11=-26/11=

-2 4/11

-5/6+1 3/5=-25/30+1 18/30=23/30

-4/5-1,2=-0,8-1,2=-2

23/30*(-2)=-23/15=-1 8/15

-2 4/11-(-1 8/15)=-2 60/165+1 88/165=

-137/165

Answer 2

To solve the given expression, let's simplify each term step by step:

1. (-3 1/4 + 2 1/6) To add these mixed fractions, we need to convert them into improper fractions: -3 1/4 = -13/4 2 1/6 = 13/6

Now, let's add the fractions: -13/4 + 13/6

To add these fractions, we need a common denominator, which is the least common multiple (LCM) of 4 and 6, which is 12.

(-13/4)(3/3) + (13/6)(2/2) = -39/12 + 26/12 = (-39 + 26)/12 = -13/12

So (-3 1/4 + 2 1/6) equals -13/12.

2. (2 2/11) Converting this mixed fraction into an improper fraction: 2 2/11 = 24/11

3. (-5/6 + 1 3/5) To add these mixed fractions, we need to convert them into improper fractions: 1 3/5 = 8/5

Now, let's add the fractions: -5/6 + 8/5

To add these fractions, we need a common denominator, which is the least common multiple (LCM) of 6 and 5, which is 30.

(-5/6)(5/5) + (8/5)(6/6) = -25/30 + 48/30 = (-25 + 48)/30 = 23/30

So (-5/6 + 1 3/5) equals 23/30.

4. (-4/5 - 1,2) There seems to be an error in the expression you provided. Instead of (-4/5 - 1,2), it should be (-4/5 - 1 2/10) or (-4/5 - 1 1/5).

Assuming it is (-4/5 - 1 2/10), let's simplify it: -4/5 - 1 2/10 = -4/5 - 12/10

To subtract these fractions, we need a common denominator, which is the least common multiple (LCM) of 5 and 10, which is 10.

(-4/5)(2/2) - (12/10)(1/1) = -8/10 - 12/10 = (-8 - 12)/10 = -20/10 = -2/1 = -2

So (-4/5 - 1 2/10) equals -2.

Now, let's substitute the values back into the expression and solve it:

(-13/12)(24/11) - (23/30)(-2) = (-1324)/(1211) - (23*(-2))/30 = -312/132 - (-46/30) = -312/132 + 46/30

To add these fractions, we need a common denominator, which is the least common multiple (LCM) of 132 and 30, which is 660.

(-312/132)(5/5) + (46/30)(22/22) = -1560/660 + 1012/660 = (-1560 + 1012)/660 = -548/660

We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4.

(-548/4)/(660/4) = -137/165

Therefore, the value of the given expression (-3 1/4 + 2 1/6)*(2 2/11) - (-5/6 + 1 3/5) * (-4/5 - 1,2) is equal to -137/165.