Question

(11/12-7/18)*(-19/18)= с объяснением пж

Answer 1

Ответ:

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Answer 2

To calculate the expression (11/12 - 7/18) * (-19/18), we follow the order of operations (also known as PEMDAS or BODMAS), which dictates that we perform the operations inside parentheses first, then any exponents, followed by multiplication and division (from left to right), and finally addition and subtraction (from left to right).

Let's break down the expression step by step:

1. Simplify the subtraction inside the parentheses: 11/12 - 7/18

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 12 and 18 is 36. Let's convert both fractions to have a denominator of 36:

11/12 = (11 * 3) / (12 * 3) = 33/36 7/18 = (7 * 2) / (18 * 2) = 14/36

Now we can subtract: 33/36 - 14/36 = (33 - 14) / 36 = 19/36

2. Multiply the result from step 1 by -19/18: (19/36) * (-19/18)

To multiply fractions, we simply multiply the numerators and denominators:

(19 * -19) / (36 * 18) = -361/648

Therefore, the result of the expression (11/12 - 7/18) * (-19/18) is -361/648.