Question

(5 5\6 +4\9 *3\2) : 5\8 - 3 9\10

Answer 1

Ответ:

Пошаговое объяснение:

4/9*3/2=2/3

5 5/6+2/3=5 5/6+4/6=5 9/6=6 1/2

6 1/2:5/8=13/2*8/5=52/5=10 2/5

10 2/5-3 9/10=10 4/10-3 9/10=6 1/2

Answer 2

To solve the expression, we need to follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's break down the expression step by step:

Step 1: Perform the operations inside the parentheses. (5 5/6 + 4/9 * 3/2) : 5/8 - 3 9/10

Step 2: Convert the mixed fractions to improper fractions. 5 5/6 = (6 * 5 + 5) / 6 = 35/6 3 9/10 = (10 * 3 + 9) / 10 = 39/10

Step 3: Multiply the fractions inside the parentheses first. (35/6 + 4/9 * 3/2) : 5/8 - 39/10

Step 4: Multiply the fractions inside the parentheses. (35/6 + 12/18) : 5/8 - 39/10

Step 5: Find the common denominator for fractions. The common denominator for 6, 18, and 8 is 72.

Step 6: Convert the fractions with the common denominator. (35/6 * 12/12 + 12/18 * 4/4) : 45/72 - 39/10 * 7.2/7.2

Step 7: Simplify the fractions. (420/72 + 48/72) : 45/72 - 280.8/7.2

Step 8: Add the fractions. (468/72) : 45/72 - 280.8/7.2

Step 9: Divide the fractions. (468/72) / (45/72) - 280.8/7.2

Step 10: Divide the fractions and simplify. (468/72) / (45/72) - 39

Step 11: Divide and subtract. 6.5 - 39

Step 12: Subtract. -32.5

The result of the expression is -32.5.