Question

(5/18-(-12/27)):(-2 5/16)

Answer 1

(5/18 - (-12/27)) : (-2 5/16) = -104/333

1) 5/18 - (-12/27) = 15/54 + 24/54 = 39/54 = 13/18

2) 13/18 : (-2 5/16) = 13/18 : (-37/16) = 13/18 · (-16/37) = -(13·8)/(9·37) = -104/333

Ответ: (-104/333).

Answer 2

To simplify the expression (5/18 - (-12/27)) / (-2 5/16), follow these steps:

Step 1: Simplify the numerator. 5/18 - (-12/27) = 5/18 + 12/27

Step 2: Find a common denominator for the fractions in the numerator. The common denominator for 18 and 27 is 54.

(5/18) * (3/3) = 15/54 (12/27) * (2/2) = 24/54

Now, the numerator becomes:

15/54 + 24/54 = 39/54

Step 3: Simplify the denominator. To work with mixed numbers, convert -2 5/16 to an improper fraction.

-2 5/16 = -2 + 5/16 = -32/16 + 5/16 = -27/16

Step 4: Now, divide the numerator by the denominator:

(39/54) / (-27/16)

To divide fractions, multiply the first fraction by the reciprocal of the second fraction (flip the second fraction):

(39/54) * (-16/27)

Step 5: Simplify the resulting fraction. First, find a common factor between 39 and 27. In this case, the common factor is 3.

(39/3) * (-16/3) = 13 * (-16/3)

Now, multiply the numerators and denominators:

(13 * -16) / 3 = -208/3

So, the simplified result is:

-208/3