Question

(1 8/13*13/42 +5 5/7:8/21):(8 1/8+3 1/2)

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the expression, let's 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)

The expression is as follows: (1 8/13 * 13/42 + 5 5/7 : 8/21) : (8 1/8 + 3 1/2)

Step 1: Simplify the expressions inside the parentheses. 1 8/13 * 13/42 = (21/13) * (13/42) = 1/2 5 5/7 : 8/21 = (40/7) : (8/21) = (40/7) * (21/8) = 105/2

The expression becomes: (1/2 + 105/2) : (8 1/8 + 3 1/2)

Step 2: Convert the whole numbers to fractions and find the common denominator for the fractions inside the parentheses. 8 1/8 = (64/8) + (1/8) = 65/8 3 1/2 = (6/2) + (1/2) = 7/2

The expression becomes: (1/2 + 105/2) : (65/8 + 7/2)

Step 3: Add the fractions inside the parentheses. 1/2 + 105/2 = (1 + 105) / 2 = 106/2 = 53

65/8 + 7/2 = (65/8) + (28/8) = 93/8

The expression becomes: (53) : (93/8)

Step 4: Divide the whole number by the fraction. 53 ÷ (93/8) = 53 * (8/93) = 424/93

So, the final simplified result is 424/93.