¾+¼-¹¹/¹³

To solve this expression, we need to follow the order of operations (also known as PEMDAS/BODMAS):

1. Parentheses (or Brackets)
2. Exponents (or Orders or Roots, etc.)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's break down your expression using these steps:

¾ + ¼ - (¹¹ ÷ ¹³)

Step 1: In this case, there are no parentheses or brackets, so we move to the next step.

Step 2: There are no exponents or orders, so we move to the next step.

Step 3: We have division to solve: ¹¹ ÷ ¹³

Since both ¹¹ and ¹³ are raised to the power of 1, dividing them leaves us with:

1 ÷ 1 = 1

Now let's rewrite our expression:

¾ + ¼ - 1

Step 4: Now we can perform addition and subtraction from left to right:

¾ + ¼ - 1 =

To add ¾ and ¼, we need to have a common denominator. By multiplying 3 and 4, we get 12. So:

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

9/12 + 3/12 - 1 =

(9 + 3 - 12)/12 =

0/12 = 0

Therefore, ¾ + ¼ - (¹¹ ÷ ¹³) equals 0.