simplify 12 - 4 divided by 4 thirds + 1

Answer 1

To simplify the expression 12 - 4 divided by 4 thirds + 1, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, let's simplify the division 4 divided by 4 thirds:
4 divided by 4 thirds is the same as 4 multiplied by 3 fourths (its reciprocal) since division is the same as multiplying by the reciprocal.
4 multiplied by 3 fourths is 12 fourths.

Now, let's rewrite the expression with the simplified division:
12 - 12 fourths + 1

Next, let's simplify the addition and subtraction from left to right:
12 - 12 fourths + 1
12 fourths is the same as 3 since 12 divided by 4 is 3.
12 - 3 + 1

Now, let's do the remaining addition and subtraction:
12 - 3 + 1
9 + 1
= 10

Therefore, the simplified expression is 10.