Question

(2 7/10-1 8/15)²×9/14

Answer 1

(2 7/10 - 1 8/15)²*9/14

(27/10-23/15)²*9/14

(7/6)²*9/14

49/36*9/14

7/4*1/2
Відповідь:7/8=0,875

Answer 2

Ответ:

ответ или ровно:0.875

Пошаговое объяснение:

надеюсь помогла

Answer 3

To solve this expression, you'll need to follow the order of operations, which is typically expressed as PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Let's break down the expression step by step:

1. Start with the expression inside the parentheses: (2 7/10 - 1 8/15)

   First, convert the mixed numbers to improper fractions: (27/10 - 23/15)

2. Find a common denominator, which in this case is 30: (27/10 * 3/3 - 23/15 * 2/2)

   Now, perform the subtraction: (81/30 - 46/30)

3. Subtract the fractions: (81/30 - 46/30) = 35/30

4. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5: (35/5) / (30/5) = 7/6

Now, we have simplified the expression inside the parentheses to 7/6.

5. Square this result: (7/6)² = (7/6) * (7/6) = 49/36

6. Finally, multiply the squared result by 9/14: (49/36) * (9/14)

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

(49/36) * (9/14) = (49 * 9) / (36 * 14)

Now, calculate the numerator and denominator separately:

Numerator: 49 * 9 = 441 Denominator: 36 * 14 = 504

So, the final result is:

441/504

You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 63:

(441/63) / (504/63) = 7/8

So, (2 7/10 - 1 8/15)² * 9/14 = 7/8.