Question

(5 5/7х3/8-5 1/4:7):3+3 3/28-1/2=по действиям ответ 1/14 

Answer 1

(5 5/7 * 3/8 - 5 1/4 : 7) : 3 + 3 3/28 - 1/2 = 3 целых 1/14

1) 5 5/7 * 3/8 = 40/7 * 3/8 = (5*3)/(7*1) = 15/7 = 2 1/7
2) 5 1/4 : 7 = 21/4 : 7 = 21/4 * 1/7 = (3*1)/(4*1) = 3/4
3) 2 1/7 - 3/4 = 2 4/28 - 21/28 = 1 32/28 - 21/28 = 1 11/28 = 39/28
4) 39/28 : 3 = 39/28 * 1/3 = (13*1)/(28*1) = 13/28
5) 13/28 + 3 3/28 = 3 16/28 = 3 4/7
6) 3 4/7 - 1/2 = 3 8/14 - 7/14 = 3 1/14

Answer 2

Let's solve the expression step by step:

Step 1: Perform operations inside the parentheses first. (5 5/7 * 3/8 - 5 1/4) / 7

Step 2: Convert mixed numbers to improper fractions. (40/7 * 3/8 - 21/4) / 7

Step 3: Perform multiplication and subtraction. (120/56 - 84/56) / 7

Step 4: Perform subtraction. (36/56) / 7

Step 5: Convert the whole expression to an improper fraction. 36/56 ÷ 7

Step 6: Divide the numerator by the denominator. 36/56 ÷ 7 = 36/56 * 1/7

Step 7: Multiply the fractions. (36 * 1) / (56 * 7) = 36/392

Step 8: Simplify the fraction. 36/392 = 9/98

Now let's continue with the next part of the expression:

Step 9: Add the two fractions. 9/98 + 3 3/28 - 1/2

Step 10: Convert the whole number to an improper fraction. 9/98 + 87/28 - 49/98

Step 11: Find a common denominator (the least common multiple of 98 and 28 is 196).

Step 12: Convert all fractions to have the common denominator (196). (9 * 2 + 87 * 7 - 49 * 2) / 196

Step 13: Perform addition and subtraction. (18 + 609 - 98) / 196

Step 14: Perform addition. 529 / 196

Step 15: Convert the improper fraction to a mixed number. 529 ÷ 196 = 2 remainder 137

The final answer is 2 137/196. Now, we can simplify this mixed number to an improper fraction:

Step 16: Convert the mixed number to an improper fraction. (2 * 196 + 137) / 196

Step 17: Perform addition. (392 + 137) / 196 = 529 / 196

Step 18: Simplify the fraction. 529/196 = 13/4

So, the answer to the expression is 13/4, not 1/14 as stated. Double-checking the calculations, it appears there might have been an error in the original statement.