Question

( 1 3/7 + 4 5/21 - 5 1/4 ) * 1 5/7 + 8 1/4 : 2 5/8 = ... Решите. По действиям пожалуйста

Answer 1

1)1 3/7+4 5/21= 119/21
2) 119/21-21/4=35/84
3)35/84*12/7=5/7
4) 37/4:21/8=74/21
5)5/7+74/21= 4 5/21

Answer 2

To solve the expression 1 3/7 + 4 5/21 - 5 1/4 * 1 5/7 + 8 1/4 ÷ 2 5/8, we need to follow the order of operations (PEMDAS/BODMAS). This means we should perform the calculations in the following order: parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).

Let's break down the expression step by step:

1. Convert all mixed numbers to improper fractions: - 1 3/7 becomes 10/7 - 4 5/21 becomes 89/21 - 5 1/4 becomes 21/4 - 1 5/7 becomes 12/7 - 8 1/4 becomes 33/4 - 2 5/8 becomes 21/8

2. Perform the multiplication and division operations: - 89/21 * 21/4 = 1869/84 - 33/4 ÷ 21/8 = 66/4

3. Perform the addition and subtraction operations: - 10/7 + 1869/84 - 21/4 + 12/7 + 66/4

Now, let's simplify the expression further:

4. Find a common denominator for all the fractions: - The common denominator for 7, 84, and 4 is 84.

5. Convert all the fractions to have a denominator of 84: - 10/7 becomes 120/84 - 1869/84 remains the same - 21/4 becomes 441/84 - 12/7 becomes 144/84 - 66/4 becomes 1386/84

6. Perform the addition and subtraction operations: - 120/84 + 1869/84 - 441/84 + 144/84 + 1386/84

7. Combine the numerators: - (120 + 1869 - 441 + 144 + 1386)/84

8. Perform the addition: - 3078/84

9. Simplify the fraction, if possible: - The numerator and denominator have a common factor of 6: - 3078/84 = 513/14

Therefore, the solution to the expression 1 3/7 + 4 5/21 - 5 1/4 * 1 5/7 + 8 1/4 ÷ 2 5/8 is 513/14.

I hope this helps! Let me know if you have any further questions.