Question

1 13/14 -(2-11/35):9/25+4/21

Answer 1

1 13/14 -(2-11/35):9/25+4/2113/14-59/35*25/9+4/21
13/14-59/7*5/9+4/21
13/14-295/63+4/21 = -449 /126  или -3 71/126

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's break down the expression step by step:

1. Calculate the expression inside the parentheses: 2 - 11/35 = (70 - 11) / 35 = 59/35

2. Calculate the result of the division: 13/14 - (59/35) = (13 * 35 - 14 * 59) / (14 * 35) = (455 - 826) / 490 = -371 / 490

3. Perform the addition: 9/25 + 4/21 = (9 * 21 + 4 * 25) / (25 * 21) = (189 + 100) / 525 = 289 / 525

4. Finally, subtract the two results from steps 2 and 3: -371 / 490 - 289 / 525

To add or subtract fractions, you need to find a common denominator, which is the least common multiple (LCM) of the denominators, which in this case is 525 * 490.

Now, let's find the common denominator for the fractions -371 / 490 and 289 / 525:

-371 / 490 = (-371 * 525) / (490 * 525) = -194775 / 257250 289 / 525 = (289 * 490) / (525 * 490) = 141610 / 257250

Now, we can subtract the fractions:

-194775 / 257250 - 141610 / 257250 = (-194775 - 141610) / 257250 = -336385 / 257250

The final result of the expression is -336385 / 257250. However, this fraction can be simplified further by finding the greatest common divisor (GCD) between the numerator and denominator, and then dividing both by the GCD:

GCD(336385, 257250) = 1365

Divide both the numerator and denominator by the GCD:

-336385 / 257250 = (-336385 ÷ 1365) / (257250 ÷ 1365) = -247 / 188.

So, the fully simplified result is -247/188.