Question

(4 1/3-2 5/12):7 2/3+5 1/6

Answer 1

1)4 1/3-2 5/12 = 1 11/12. 2)1 11/12:7 2/3 = 1/4. 3)1/4 + 5 1/6 = 4/12 +5 3/12 = 5 7/12

Answer 2

To solve the expression (4 1/3 - 2 5/12) ÷ (7 2/3 + 5 1/6), we need to perform the operations in the following order:

Step 1: Convert mixed numbers to improper fractions: 4 1/3 = (4 * 3 + 1) / 3 = 13/3 2 5/12 = (2 * 12 + 5) / 12 = 29/12 7 2/3 = (7 * 3 + 2) / 3 = 23/3 5 1/6 = (5 * 6 + 1) / 6 = 31/6

Step 2: Perform the subtraction and addition within the parentheses: (13/3 - 29/12) ÷ (23/3 + 31/6)

Step 3: Find the common denominator for the fractions within each parentheses: For the first parentheses, the common denominator is 12: (13/3 * 4/4 - 29/12) ÷ (23/3 + 31/6) = (52/12 - 29/12) ÷ (23/3 + 31/6)

For the second parentheses, the common denominator is 6: (23/3 + 31/6 * 2/2) = (23/3 + 62/6) = (23/3 + 31/3)

Step 4: Perform the subtraction and addition within the parentheses: (52/12 - 29/12) ÷ (23/3 + 31/3) = (23/12) ÷ (54/3) = (23/12) ÷ (18)

Step 5: Invert the divisor and multiply: (23/12) * (1/18) = 23/216

Therefore, (4 1/3 - 2 5/12) ÷ (7 2/3 + 5 1/6) equals 23/216.