Solve the equation using GEMDAS rules. Show all your steps - including equivalent fractions and simplest form.

Question

11/12 – (1/4 + 1/3)

Answer 1

To solve the equation using GEMDAS rules, we need to simplify the expression inside the parentheses first.

1/4 + 1/3 can be simplified by finding a common denominator:

1/4 = (1 * 3)/(4 * 3) = 3/12
1/3 = (1 * 4)/(3 * 4) = 4/12

Now we can rewrite the equation:

11/12 - (1/4 + 1/3) = 11/12 - (3/12 + 4/12)

Next, we can add the fractions inside the parentheses:

11/12 - (3/12 + 4/12) = 11/12 - 7/12

Now we can subtract the fractions:

11/12 - 7/12 = (11 - 7)/12 = 4/12

Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4:

4/12 = (4/4) / (12/4) = 1/3

Therefore, the solution to the equation 11/12 - (1/4 + 1/3) using GEMDAS rules is 1/3.