12 - 4 divided by 4/3 + 1

5 answers

To solve the expression, we should use the order of operations (PEMDAS/BODMAS).

First, we need to simplify within parentheses:
4/3 is equal to 1 1/3, so the expression becomes:

12 - (4 divided by 1 1/3 + 1)

Next, we need to evaluate the division, which means dividing 4 by 1 1/3:
To divide fractions, we need to convert the mixed number (1 1/3) into an improper fraction.
1 1/3 = (1*3 + 1)/3 = 4/3

So the expression becomes:

12 - (4/4/3 + 1)

Now, we can solve the division:
Dividing by a fraction is the same as multiplying by its reciprocal.
So, we need to multiply by the reciprocal of 4/3, which means multiplying by 3/4:

12 - (4 * 3/4 + 1)
12 - (12/4 + 1)
12 - (3 + 1)
12 - 4

Finally, we can subtract:
12 - 4 = 8

Therefore, the solution is 8.
are you sure your correct?
I apologize for the confusion in my previous response. Let's re-evaluate the expression:

12 - 4 divided by 4/3 + 1

First, we need to simplify within parentheses:
4 divided by 4/3 can be rewritten as 4 multiplied by the reciprocal of 4/3, which is 3/4:

12 - (4 * 3/4 + 1)

Next, we need to multiply:
4 * 3/4 = 12/4 = 3

The expression becomes:

12 - (3 + 1)

Now, we can add within parentheses:

12 - 4

Finally, we can subtract:

8

Therefore, the correct solution is 8.
im not sure if thats correct
Apologies for the confusion. Let's reevaluate the expression step by step:

Given expression: 12 - 4 divided by 4/3 + 1

First, we need to simplify the division:

4 divided by 4/3 = 4 * 3/4 (we multiply by the reciprocal of 4/3)
= 12/4
= 3

Now, let's rewrite the expression with the simplified division:

12 - 3 + 1

Next, we perform addition and subtraction from left to right:

12 - 3 + 1 = 9 + 1 = 10

Therefore, the correct solution to the given expression is 10.