Question

(13/5+21/5):19/10+(17/10-4/5):3/7=

Answer 1

Ответ:

Пошаговое объяснение:

13/5+21/5=34/5

34/5:19/10=34/5*10/19=68/19

17/10-4/5=17/10-8/10=9/10

9/10:3/7=9/10*7/3=21/10

68/19+21/10=3 11/19+2 1/10=

3 110/190+2 19/190=5 129/190

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, simplify the fractions within parentheses: (13/5 + 21/5) = (34/5)

2. Next, simplify the fractions within the other set of parentheses: (17/10 - 4/5) = (17/10 - 8/10) = (9/10)

3. Now, we have the expression as follows: (34/5) / (19/10) + (9/10) / (3/7)

4. To divide fractions, you can multiply by the reciprocal of the second fraction. The reciprocal of (19/10) is (10/19), and the reciprocal of (3/7) is (7/3): (34/5) * (10/19) + (9/10) * (7/3)

5. Multiply the fractions: (34/5) * (10/19) = (340/95) (9/10) * (7/3) = (63/30)

6. Finally, add the results: (340/95) + (63/30)

To simplify further, you can find a common denominator, which in this case is 190:

(340/95) + (63/30) = (340/95) + (63/30) * (19/19) = (340/95) + (1197/190)

Now, you have a common denominator, and you can add the fractions:

(340/95) + (1197/190)

To add these fractions, they need a common denominator of 190:

(340/95) * (2/2) + (1197/190) = (680/190) + (1197/190)

Now that they have a common denominator, you can add them:

(680/190) + (1197/190) = (680 + 1197) / 190 = 1877/190

Now, you can simplify the fraction:

1877/190 = 9.87368421

So, the result of the expression is approximately 9.8737 when rounded to four decimal places.