Question

2 5/14∙3 9/11-9/25∙3 1/3

Answer 1

Ответ:

$7\frac{4}{5}$

Answer 2

To solve this expression, you should follow the order of operations, which is typically remembered using the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Let's break down the expression step by step:

1. First, deal with the multiplication and division:

   2 5/14 * 3 9/11 - 9/25 * 3 1/3

   To multiply mixed numbers, convert them to improper fractions:

   (2 * 14 + 5) / 14 * (3 * 11 + 9) / 11 - (9 / 25) * (3 * 3 + 1) / 3

   (29/14) * (42/11) - (9/25) * (10/3)

2. Now, perform the multiplications:

   (29/14) * (42/11) = (29 * 42) / (14 * 11) = 1218/154

   (9/25) * (10/3) = (9 * 10) / (25 * 3) = 90/75

3. Subtract the results of the multiplications:

   (1218/154) - (90/75)

4. Simplify each fraction:

   (1218/154) can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 154:

   (1218/154) = (9/1) * (134/17) = (9 * 134) / (1 * 17) = 2418/17

   (90/75) can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 15:

   (90/75) = (6/5) * (15/15) = (6/5) * 1 = 6/5

5. Subtract the simplified fractions:

   (2418/17) - (6/5)

6. To subtract fractions, they need a common denominator. In this case, the common denominator is 17 * 5 = 85. Adjust the fractions accordingly:

   (2418/17) * (5/5) - (6/5) * (17/17)

   Now, you can subtract:

   (12090/85) - (102/85)

7. Subtract the fractions:

   (12090/85) - (102/85) = (12090 - 102) / 85 = 11988/85

So, the result of the expression 2 5/14 * 3 9/11 - 9/25 * 3 1/3 is 11988/85 or approximately 141.086.