Question

4 1/4 as a fraction in simplest form

Answer 1

To convert the mixed number \( 4 \frac{1}{4} \) into an improper fraction, follow these steps:

1. Multiply the whole number (4) by the denominator (4):
\[
4 \times 4 = 16
\]

2. Add the numerator (1) to the result obtained in step 1:
\[
16 + 1 = 17
\]

3. Write this sum over the original denominator:
\[
\frac{17}{4}
\]

Now, \( 4 \frac{1}{4} \) as an improper fraction is \( \frac{17}{4} \).

Since 17 is a prime number and does not have any factors in common with 4, this fraction is already in its simplest form.

So, the simplest form of \( 4 \frac{1}{4} \) as a fraction is:
\[
\frac{17}{4}
\]