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Simplify: 12−4÷4/3+1

.(1 point)

1 answer

To simplify the expression \( 12 - 4 \div 4 / 3 + 1 \), follow the order of operations (PEMDAS/BODMAS):

  1. Division and multiplication from left to right: \[ 4 \div 4 = 1 \] Now the expression becomes: \[ 12 - 1 / 3 + 1 \]

  2. Next, perform the division \( 1 / 3 \): \[ 1 / 3 \approx 0.3333 \] Now the expression becomes: \[ 12 - 0.3333 + 1 \]

  3. Subtraction and addition from left to right: \[ 12 - 0.3333 \approx 11.6667 \] Now we add 1: \[ 11.6667 + 1 \approx 12.6667 \]

Thus, the simplified value of the expression is approximately \( 12.67 \) (or exactly \( \frac{38}{3} \)).

If you want to provide the answer in a fractional form, you can say: \[ \text{Result} = \frac{38}{3} \]

Otherwise, rounded to two decimal places, the result is: \[ \text{Result} \approx 12.67 \]