Question

-13,5+(-7,9+4 1 5 );2) (- 3 2/3 + 5 7/9) - (2 1/8 - 3 7/12) .

Answer 1

Ответ:

1) 393,6

2)-31/8

Пошаговое объяснение:

1) -13,5+(-7,9+4 1 5 )=-13,5+407,1=393,6

2) (- 3 2/3 + 5 7/9) - (2 1/8 - 3 7/12)=(-13/3)-(-11/24)=-13/3+11/24=-31/8

Answer 2

To solve these mathematical expressions, let's take them one by one:

1. -13.5 + (-7.9 + 4.15):

We can start by calculating the sum inside the parentheses: -7.9 + 4.15 = -3.75

Now we can substitute this value back into the original expression: -13.5 + (-3.75)

To add a negative number, we can simply subtract the positive equivalent. So the expression becomes: -13.5 - 3.75

Calculating the result: -17.25

Therefore, -13.5 + (-7.9 + 4.15) equals -17.25.

2. (-3 2/3 + 5 7/9) - (2 1/8 - 3 7/12):

Let's start by simplifying the fractions within the expressions: -3 2/3 = -11/3 5 7/9 = 52/9 2 1/8 = 17/8 3 7/12 = 43/12

Now we can substitute the values and solve the expression: (-11/3 + 52/9) - (17/8 - 43/12)

To perform these calculations, we need to find a common denominator for the fractions involved.

The common denominator for 3, 9, and 8 is 72.

Rewriting the expression with the common denominator: ((-11/3) * (24/24) + (52/9) * (8/8)) - ((17/8) * (9/9) - (43/12) * (6/6))

Simplifying: (-264/72 + 416/72) - (153/72 - 258/72)

Now we can perform the subtraction and addition: (-264 + 416) / 72 - (153 - 258) / 72 152/72 - (-105) / 72 257/72

Therefore, (-3 2/3 + 5 7/9) - (2 1/8 - 3 7/12) equals 257/72.