Find the following:
`9/(10)-2/(5)`

Answer

To solve the problem \( \frac{9}{10} - \frac{2}{5} \), follow these steps:

### Step 1: Identify the fractions
We have two fractions: \( \frac{9}{10} \) and \( \frac{2}{5} \).

### Step 2: Find the Least Common Multiple (LCM)
To subtract these fractions, we need a common denominator. The denominators are 10 and 5.
- The LCM of 10 and 5 is 10.

### Step 3: Convert the fractions to have the same denominator
The first fraction \( \frac{9}{10} \) already has the denominator of 10.
For the second fraction \( \frac{2}{5} \), we need to convert it:
- To convert \( \frac{2}{5} \) to have a denominator of 10, we multiply both the numerator and the denominator by 2:
\[ \frac{2 \times 2}{5 \times 2} = \frac{4}{10} \]

### Step 4: Subtract the fractions
Now we can subtract the two fractions:
\[ \frac{9}{10} - \frac{4}{10} = \frac{9 - 4}{10} = \frac{5}{10} \]

### Step 5: Simplify the result
The fraction \( \frac{5}{10} \) can be simplified:
\[ \frac{5}{10} = \frac{1}{2} \]

### Final Answer:
Thus, \( \frac{9}{10} - \frac{2}{5} = \frac{1}{2} \).

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