Question

5 1/6÷31+(3 1/4+2 1/6)÷2 3/5-2/3÷4/9=?

Answer 1

Ответ:

3/4

Пошаговое объяснение:

Answer 2

To solve this expression, follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to get the correct result. Let's break it down step by step:

Step 1: Convert mixed numbers to improper fractions. 5 1/6 = (6 * 5 + 1) / 6 = 31 / 6 3 1/4 = (4 * 3 + 1) / 4 = 13 / 4 2 1/6 = (6 * 2 + 1) / 6 = 13 / 6 2 3/5 = (5 * 2 + 3) / 5 = 13 / 5

Step 2: Perform the calculations inside the parentheses first. (3 1/4 + 2 1/6) = (13/4 + 13/6)

Step 3: Find a common denominator for the fractions inside the parentheses, which is 12. (13/4 + 13/6) = (39/12 + 26/12) = 65/12

Step 4: Now, rewrite the entire expression with the simplified value: 5 1/6 ÷ 31 + (3 1/4 + 2 1/6) ÷ 2 3/5 - 2/3 ÷ 4/9 = (31/6) ÷ 31 + (65/12) ÷ (13/5) - (2/3) ÷ (4/9)

Step 5: Perform the divisions: (31/6) ÷ 31 = (31/6) * (1/31) = 1/6 (65/12) ÷ (13/5) = (65/12) * (5/13) = 25/12 (2/3) ÷ (4/9) = (2/3) * (9/4) = 6/12 = 1/2

Step 6: Rewrite the expression with the results of the divisions: 1/6 + 25/12 - 1/2

Step 7: Find a common denominator for the fractions: 1/6 = 2/12 25/12 remains unchanged 1/2 = 6/12

Step 8: Perform the addition and subtraction: (2/12) + (25/12) - (6/12) = 21/12

Step 9: Simplify the result: 21/12 = 7/4

So, the final result of the expression is 7/4 or 1 3/4.