Question

(6 3/4:4 1/2+2 5/7):8 3/7-2/5

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the expression (6 3/4 ÷ 4 1/2 + 2 5/7) ÷ (8 3/7 - 2/5), follow these steps:

Step 1: Convert all mixed numbers to improper fractions. 6 3/4 = (4 * 6 + 3)/4 = 27/4 4 1/2 = (2 * 4 + 1)/2 = 9/2 2 5/7 = (7 * 2 + 5)/7 = 19/7 8 3/7 = (7 * 8 + 3)/7 = 59/7

Step 2: Perform the operations inside the parentheses first. 27/4 ÷ 9/2 + 19/7 ÷ (59/7 - 2/5)

Step 3: Simplify the expressions inside the parentheses. 27/4 ÷ 9/2 + 19/7 ÷ (59/7 - 10/35) 27/4 ÷ 9/2 + 19/7 ÷ (59/7 - 1/35)

Step 4: Simplify the fractions inside the parentheses. 27/4 ÷ 9/2 + 19/7 ÷ (59/7 - 1/35) 27/4 ÷ 9/2 + 19/7 ÷ (208/35 - 1/35) 27/4 ÷ 9/2 + 19/7 ÷ (207/35)

Step 5: Simplify further. 27/4 ÷ 9/2 + 19/7 ÷ (207/35) 27/4 ÷ 9/2 + 19/7 * (35/207)

Step 6: Perform multiplication and division from left to right. (27/4 ÷ 9/2) + (19/7 * 35/207) (27/4 ÷ 9/2) + (19/7 * 5/69)

Step 7: Perform division first. (27/4 ÷ 9/2) + (19/7 * 5/69) (27/4 * 2/9) + (19/7 * 5/69) (27/2 * 1/9) + (19/7 * 5/69) (27/18) + (95/483)

Step 8: Find a common denominator to add the fractions. (27/18) + (95/483) (27/18) + (95/483 * 18/18) (27/18) + (95/18)

Step 9: Add the fractions. (27/18) + (95/18) = (27 + 95)/18 = 122/18

Step 10: Simplify the result. 122/18 = 61/9

So, the final result of the expression is 61/9.