To solve this expression, we need to follow the order of operations (PEMDAS):
Work out the subtraction inside the parentheses first:4 2/9 - 2 5/6 = (37/9) - (17/6)= (37/9) - (34/9)= 3/9= 1/3
Now we can substitute this value back into the original expression:5 4/7 × 2 9/13 - 1 2/3 ÷ 1/3
Work out the multiplication and division next:5 4/7 × 2 9/13 - 1 2/3 ÷ 1/3= (39/7) × (35/13) - (5/3)= (1365/91) - (455/91)= 910/91= 10
Therefore, the solution to the expression 5 4/7 × 2 9/13 - 1 2/3 ÷ (4 2/9 - 2 5/6) is 10.
To solve this expression, we need to follow the order of operations (PEMDAS):
Work out the subtraction inside the parentheses first:
4 2/9 - 2 5/6 = (37/9) - (17/6)
= (37/9) - (34/9)
= 3/9
= 1/3
Now we can substitute this value back into the original expression:
5 4/7 × 2 9/13 - 1 2/3 ÷ 1/3
Work out the multiplication and division next:
5 4/7 × 2 9/13 - 1 2/3 ÷ 1/3
= (39/7) × (35/13) - (5/3)
= (1365/91) - (455/91)
= 910/91
= 10
Therefore, the solution to the expression 5 4/7 × 2 9/13 - 1 2/3 ÷ (4 2/9 - 2 5/6) is 10.