Question

(-9 9/50:3,4-3,7)•2,1 +2 3/75

Answer 1

Пошаговое объяснение:

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Answer 2

Let's break down the expression step by step:

1. Start with the subtraction inside the parentheses: -9 9/50 : 3,4 - 3,7

First, convert the mixed numbers to improper fractions: -9 9/50 = -459/50 3,4 = 3 + 4/10 = 3 2/5 = 17/5 3,7 = 3 + 7/10 = 3 7/10 = 37/10

Now, perform the subtraction: (-459/50) : (17/5 - 37/10)

2. Next, find the least common denominator for the fractions inside the parentheses. The least common denominator for 5 and 10 is 10.

   (-459/50) : [(17/5) - (37/10)]

Now, rewrite the fractions with a common denominator of 10: (-459/50) : [(34/10) - (37/10)]

3. Perform the subtraction inside the parentheses: (-459/50) : (-3/10)

4. Now, divide by 2.1 and then add 2 3/75 (which can be simplified to 2/75):

   [(-459/50) : (-3/10)] * 2.1 + 2/75

5. To divide fractions, invert the second fraction and multiply:

   [(-459/50) * (-10/3)] * 2.1 + 2/75

   Now, simplify the multiplication: (459/50) * (10/3) * 2.1 + 2/75

6. Perform the multiplications:

   (459/50) * (10/3) = (459 * 10) / (50 * 3) = 4590 / 150 = 153/5

   Now, the expression becomes:

   (153/5) * 2.1 + 2/75

7. Perform the multiplication:

   (153/5) * 2.1 = (153 * 2.1) / 5 = 321.3 / 5 = 64.26

8. Now, add 2/75 to the result:

   64.26 + 2/75

9. To add the decimal number and the fraction, you need to find a common denominator, which is 75. Convert 64.26 to a fraction with a denominator of 75:

   64.26 = 6426/100

   Now, add the fractions:

   (6426/100) + (2/75)

10. Find a common denominator for the fractions, which is 300 (LCM of 100 and 75). Rewrite the fractions with a common denominator:

(6426/100) * (3/3) + (2/75) * (4/4) = (19278/300) + (8/300)

11. Now, add the fractions:

(19278/300) + (8/300) = (19278 + 8) / 300 = 19286/300

12. Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

(19286/2) / (300/2) = 9643/150

So, the final result of the expression is:

9643/150