To solve the expression ¾ + ¼ - ¹¹/¹³, we need to simplify each term one by one and then perform the operations in the correct order (following the order of operations, which is parentheses, exponents, multiplication/division, and addition/subtraction).
- Simplify the fraction ¾:
Since ¾ is already in simplest form, there is nothing more to do with this term.
- Simplify the fraction ¼:
Again, ¼ is already in simplest form.
- Simplify the fraction ¹¹/¹³:
Since ¹³ is divisible by ¹¹, we can simplify this fraction by dividing both the numerator and denominator by ¹¹:
¹¹/¹³ = 1/¹
Therefore, the expression becomes:
¾ + ¼ - 1/¹
- Substitute 1/¹ with 1:
¾ + ¼ - 1
Now, we can add and subtract:
3/4 + 1/4 - 1 = (3 + 1 - 1) / 4 = 3/4
So, the final answer is 3/4.
