Solve 2-(1/1+1/2): Unit Fraction Addition and Subtraction Problem

We will solve the expression $2 - \left(\frac{1}{1} + \frac{1}{2}\right)$ step by step:

• Step 1: Calculate the expression inside the parentheses first.

We have $\frac{1}{1} + \frac{1}{2}$.

• The simplest way to add fractions is to find a common denominator. The denominators here are 1 and 2, so the least common denominator is 2.

Convert $\frac{1}{1}$ to $\frac{2}{2}$ for easy addition:

$\frac{1}{1} = \frac{2}{2}$

Now add $\frac{2}{2} + \frac{1}{2}$:

$\frac{2}{2} + \frac{1}{2} = \frac{3}{2}$

• Step 2: Subtract this result from 2.

Write 2 as a fraction with a denominator of 2 to facilitate subtraction:

$2 = \frac{4}{2}$

Now perform the subtraction:

$\frac{4}{2} - \frac{3}{2} = \frac{1}{2}$

Therefore, the solution to the problem is $\frac{1}{2}$.