Convert the following percentages into fractions:
`1(7)/(40)%`

Answer

To convert the percentage \(1\frac{7}{40}\%\) into a fraction, we can follow these steps:

### Step 1: Convert the mixed number to an improper fraction
The mixed number \(1\frac{7}{40}\) can be converted to an improper fraction. To do this, we multiply the whole number (1) by the denominator (40) and then add the numerator (7).

\[ 1\frac{7}{40} = \frac{(1 \times 40) + 7}{40} = \frac{40 + 7}{40} = \frac{47}{40} \]

### Step 2: Convert the percentage to a fraction
Now we have \(\frac{47}{40}\%\). To convert this percentage into a fraction, we need to divide by 100 (since percent means per hundred).

\[ \frac{47}{40} \% = \frac{47}{40} \times \frac{1}{100} = \frac{47}{4000} \]

### Final Answer
Thus, the fraction form of \(1\frac{7}{40}\%\) is:

\[ \frac{47}{4000} \]

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