`5/8-1/8`=?

Options

A. `(1)/(4)`
B. `(1)/(2)
C. `(1)/(16)`
D. none of these

Answer

To solve the problem \( \frac{5}{8} - \frac{1}{8} \), we can follow these steps:

### Step 1: Identify the fractions
We have two fractions: \( \frac{5}{8} \) and \( \frac{1}{8} \).

### Step 2: Ensure the denominators are the same
Both fractions have the same denominator, which is 8. This means we can directly subtract the numerators.

### Step 3: Subtract the numerators
Now we subtract the numerators:
\[ 5 - 1 = 4 \]

### Step 4: Write the result over the common denominator
Now we place the result over the common denominator:
\[ \frac{4}{8} \]

### Step 5: Simplify the fraction
Next, we simplify \( \frac{4}{8} \). To do this, we divide both the numerator and the denominator by their greatest common divisor, which is 4:
\[ \frac{4 \div 4}{8 \div 4} = \frac{1}{2} \]

### Final Answer
Thus, \( \frac{5}{8} - \frac{1}{8} = \frac{1}{2} \).

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