Question

(-5/12+11/16)÷(-13/72)​

Answer 1

Ответ: -1 1/2

Пошаговое объяснение:

(-5/12+11/16) : (-13/72) =(-20/48+33/48) * (-72/13)= 13/48 * (-72/13)= - 72/48=

= -9/6= -3/2= -1 1/2

Answer 2

Ответ:

-1 1/2

Пошаговое объяснение:

(-5/12+11/16):(-13/72)

Выносим (-5/12+11/16)

Приводим к общему знаменателю 12 и 16: это 48 ( 12*4, и 16*3 ).

-5/12+11/16= -20/48+33/48=33/48-20/48=13/48

Теперь 13/48:(-13/72)

13/48:(-13/72)=13/48*(-72/13)= -72/48

Сокращаем: -1 24/48, это -1 1/2

Answer 3

To evaluate the expression (-5/12 + 11/16) ÷ (-13/72), we'll follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Let's simplify the expression step by step:

First, let's simplify the addition (-5/12 + 11/16):

To add fractions with different denominators, we need to find a common denominator.

The least common multiple (LCM) of 12 and 16 is 48. Therefore, we'll convert both fractions to have a denominator of 48.

(-5/12) becomes (-20/48) since (12 * 4 = 48), and (4 * -5 = -20). (11/16) becomes (33/48) since (16 * 3 = 48), and (3 * 11 = 33).

Now we can add the fractions: (-20/48 + 33/48) = (13/48).

Next, we'll divide (13/48) by (-13/72):

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

(13/48) ÷ (-13/72) can be rewritten as (13/48) * (-72/13).

Now, we can cancel out the common factors between the numerators and denominators: (13/48) * (-72/13) = (1/48) * (-72/1) = -72/48 = -3/2.

Therefore, the simplified value of the expression (-5/12 + 11/16) ÷ (-13/72) is -3/2.