Question

- 3/14 * 7/9 - 8/15 -4/5 + 1/12= 8/9 * (2 1/4) ²-3/7 : 3 3/7 + 5/6 : 3 1/3=

Answer 1

- 3/14 * 7/9 = - 1/6 
- 1/6 + 1/12 = - 2/12 + 1/12 = - 1/12 
- 8/15 - 4/5 = - 8/15 - 12/15 = - 20/15 = - 4/3 = - 1 1/3 
- 1/12 - 1 1/3 = - 1/12 - 1 4/12 = - 1 5/12 
Ответ ( - 1 5/12 )
------------------------
( 2 1/4 )² = ( 9/4 )² = 81/16 
8/9 * 81/16 = 9/2 = 4 1/2 
3/7 : 3 3/7 = 3/7 : 24/7 = 1/8 
5/6 : 3 1/3 = 5/6 : 10/3 = 1/4
4 1/2 - 1/8 + 1/4 = 4 4/8 - 1/8 + 2/8 = 4 6/8 - 1/8 = 4 5/8 
Ответ 4 5/8

Answer 2

Let's solve the given mathematical expression step by step:

1. Calculate the left-hand side of the equation:
   • 3/14 * 7/9 - 8/15 - 4/5 + 1/12

To add or subtract fractions, we need to find a common denominator. The least common multiple (LCM) of 14, 9, 15, and 12 is 1260.

• (3/14 * 7/9) = 21/126 = 1/6
• (8/15) = 112/126
• (4/5) = 252/126
• (1/12) = 105/126

Now, we can add and subtract these fractions: 1/6 - 112/126 - 252/126 + 105/126

To subtract fractions, we can add the additive inverse, so the expression becomes: 1/6 + (-112/126) + (-252/126) + 105/126

Now, add all the fractions together: 1/6 - 112/126 - 252/126 + 105/126 = -258/126 = -43/21

2. Calculate the right-hand side of the equation: 8/9 * (2 1/4)² - 3/7 : 3 3/7 + 5/6 : 3 1/3

First, let's convert the mixed number to an improper fraction: 2 1/4 = (2 * 4 + 1) / 4 = 9/4

Next, calculate the square of 9/4: (9/4)² = (9/4) * (9/4) = 81/16

Now, calculate the division on the right-hand side of the equation:

• (3/7) : (3 3/7)

Convert the mixed number to an improper fraction: 3 3/7 = (3 * 7 + 3) / 7 = 24/7

Now, divide (3/7) by (24/7): (3/7) ÷ (24/7) = (3/7) * (7/24) = 3/24 = 1/8

• 5/6 : (3 1/3)

Convert the mixed number to an improper fraction: 3 1/3 = (3 * 3 + 1) / 3 = 10/3

Now, divide (5/6) by (10/3): (5/6) ÷ (10/3) = (5/6) * (3/10) = 1/4

Now, we have: 8/9 * (2 1/4)² - 1/8 + 1/4

Continuing the calculations: 8/9 * (9/4)² - 1/8 + 1/4

Now, square 9/4: (9/4)² = 81/16

Substitute back into the equation: 8/9 * (81/16) - 1/8 + 1/4

Now, calculate the multiplication: (8/9) * (81/16) = 648/144 = 27/4

Substitute back into the equation: 27/4 - 1/8 + 1/4

Now, find a common denominator (8) for 1/8 and 1/4: 27/4 - 1/8 + 2/8

Now, add the fractions together: 27/4 + 1/8 = 27/4 + 1/8 = 55/8

Finally, the right-hand side of the equation becomes: 55/8

Now, we can compare the left-hand side and right-hand side of the equation: Left-hand side = -43/21 Right-hand side = 55/8

The final equation is not balanced. Hence, there might be a mistake in the provided expression or calculation. Please review the expression and let me know if there is any other specific calculation you would like me to help with!