The numerical expression, 2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3 = 67/24 on simplification using the BODMAS rule.
In the question, we are asked to simplify the numerical expression:
2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3.
To simplify the expression, we will follow the BODMAS rule, where B means Brackets, O means Of, D means Divide, M means Multiplication, A means Addition, and S means Subtraction.
2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3
= 2/3 ÷ 16 + (3/4 + 1/6) ÷ 1/3 {Solving 2⁴ = 16, before proceeding BODMAS}.
= 2/3 ÷ 16 + ((9+2)/12) ÷ 1/3 {Solving Brackets by taking LCM}
= 2/3 ÷ 16 + 11/12 ÷ 1/3 {Simplifying}
= 2/3 * 1/16 + 11/12 * 3/1 {Solving divisions by taking reciprocals}
= 1/24 + 11/4 {Multiplying}
= (1 + 66)/24 {Adding using LCM}
= 67/24 {Simplifying}.
Thus, the numerical expression, 2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3 = 67/24 on simplification using the BODMAS rule.
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The provided question is incomplete. The complete question is:
"Type the correct answer in the box. Use numerals instead of words. For this item, a non-integer answer should be entered as a fraction using / as the fraction bar.
Simplify the numerical expression.
2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3
The expression has a value equal to."
