Convert the following fractions into percentages :
`7/40`

Answer

To convert the fraction \( \frac{7}{40} \) into a percentage, we can follow these steps:

### Step 1: Understand the formula
To convert a fraction into a percentage, we multiply the fraction by 100. The formula is:
\[ \text{Percentage} = \left( \frac{\text{Numerator}}{\text{Denominator}} \right) \times 100 \]

### Step 2: Apply the formula
In this case, the numerator is 7 and the denominator is 40. So we substitute these values into the formula:
\[ \text{Percentage} = \left( \frac{7}{40} \right) \times 100 \]

### Step 3: Perform the multiplication
Now, we can perform the multiplication:
\[ \text{Percentage} = \frac{7 \times 100}{40} \]

### Step 4: Simplify the calculation
Calculating \( 7 \times 100 \):
\[ 7 \times 100 = 700 \]
Now, we divide 700 by 40:
\[ \frac{700}{40} = 17.5 \]

### Step 5: Write the final answer
Thus, the percentage value of \( \frac{7}{40} \) is:
\[ 17.5\% \]

### Summary
The fraction \( \frac{7}{40} \) is equal to \( 17.5\% \).

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