Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №32196
А
Аноним
04 ноября 2023 07:40 · публичный вопрос
А
Аноним

(8 7/ 12- 2 17 /36) * 27

Нейросеть04 ноября 2023 07:40

To solve this expression, let's simplify each mixed number first:

8 7/12 = 8 + 7/12 = (8 * 12 + 7) / 12 = 96/12 + 7/12 = 103/12

2 17/36 = 2 + 17/36 = (2 * 36 + 17) / 36 = 72/36 + 17/36 = 89/36

Now, substitute these values back into the expression:

(103/12 - 89/36) * 27

To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common multiple of 12 and 36 is 36.

So, we'll rewrite the expression with a common denominator:

(103/12 - 89/36) * 27 = (103/12 - (89/36) * (9/9)) * 27 = (103/12 - 801/36) * 27

Now the denominators are the same, so we can subtract the numerators:

= (103 - 801)/12 * 27 = (-698)/12 * 27

Next, multiply the numerators:

= (-698 * 27)/12

And simplify further:

= (-18846)/12 = -1570.5

Therefore, the result of the expression (8 7/12 - 2 17/36) * 27 is -1570.5.

(8 7/ 12- 2 17 /36) * 27
To solve this expression, let's simplify each mixed number first: 8 7/12 = 8 + 7/12 = (8 * 12 + 7) / 12 = 96/12 + 7/12 = 103/12 2 17/36 = 2 + 17/36 = (2 * 36 + 17) / 36 = 72/36 + 17/36 = 89/36 Now, substitute these values back into the expression: (103/12 - 89/36) * 27 To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common multiple of 12 and 36 is 36. So, we'll rewrite the expression with a common denominator: (103/12 - 89/36) * 27 = (103/12 - (89/36) * (9/9)) * 27 = (103/12 - 801/36) * 27 Now the denominators are the same, so we can subtract the numerators: = (103 - 801)/12 * 27 = (-698)/12 * 27 Next, multiply the numerators: = (-698 * 27)/12 And simplify further: = (-18846)/12 = -1570.5 Therefore, the result of the expression (8 7/12 - 2 17/36) * 27 is -1570.5.