Simplify: 12−4÷4/3+1 .(1 point)

3 answers

To simplify the given expression, we need to follow the order of operations.

First, we simplify the division: 4 ÷ 4 = 1

Next, we calculate the multiplication: 1/3 * 1 = 1/3

Then, we perform the addition and subtraction from left to right: 12 - 1/3 + 1

To add or subtract fractions, we need a common denominator. The denominator of 1/3 is 3, so we can rewrite 12 as 12/1 and 1 as 3/3 to have a common denominator of 3.

Rewriting the expression with a common denominator, we have:

12/1 - 1/3 + 3/3

Next, we find a common denominator for the three fractions, which is 3, and add or subtract the numerators:

(36 - 1 + 3) / 3

Simplifying the numerator, we get:

38/3

Therefore, the simplified expression is 38/3.
The numerical expression (36÷4⋅3)−8+10 is simplified as follows. In which step, if any, did the first error occur? Step 1: (9⋅3)−8+10 Step 2: 27−8+10 Step 3: 27−18=9 (1 point)
The first error occurred in Step 1: (9⋅3) - 8 + 10.