Evaluate the following expressions :
`(2)/(3)-(3)/(8)=`

Answer

To evaluate the expression \( \frac{2}{3} - \frac{3}{8} \), we can follow these steps:

### Step 1: Identify the fractions
We have two fractions:
- \( \frac{2}{3} \)
- \( \frac{3}{8} \)

### Step 2: Find a common denominator
The denominators are 3 and 8. The least common multiple (LCM) of 3 and 8 is 24. Therefore, we will convert both fractions to have a denominator of 24.

### Step 3: Convert the first fraction
To convert \( \frac{2}{3} \) to a fraction with a denominator of 24:
\[ \frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24} \]

### Step 4: Convert the second fraction
To convert \( \frac{3}{8} \) to a fraction with a denominator of 24:
\[ \frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24} \]

### Step 5: Subtract the fractions
Now we can subtract the two fractions:
\[ \frac{16}{24} - \frac{9}{24} = \frac{16 - 9}{24} = \frac{7}{24} \]

### Step 6: Write the final answer
The result of \( \frac{2}{3} - \frac{3}{8} \) is:
\[ \frac{7}{24} \]

### Summary
Thus, the evaluated expression \( \frac{2}{3} - \frac{3}{8} \) equals \( \frac{7}{24} \).

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