¾+¼-¹¹/¹³

To solve this expression, you need to follow the order of operations, which is known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Using this order, let's break down the expression step by step:

1. Start with the exponentiation (none in this case).

2. Move on to the multiplication and division from left to right: ¾ + ¼ - ¹¹/¹³

   • First, solve the division: ¹¹/¹³ = 11/13
   • Now, rewrite the expression: ¾ + ¼ - 11/13

3. Lastly, perform the addition and subtraction from left to right: ¾ + ¼ - 11/13

   • Add ¾ and ¼: 3/4 + 1/4 = 4/4 = 1
   • Subtract 11/13 from 1: 1 - 11/13

To simplify the final subtraction, we need a common denominator for 1 and 11/13.

• The common denominator is 13, so rewrite 1 as 13/13:
  • (13/13 - 11/13) = 2/13

Therefore, ¾ + ¼ - ¹¹/¹³ simplifies to 2/13.