To simplify the fraction $19.625/11304$, we need to follow a few steps involving conversion 19.625/11304Â and reduction. Let’s break down the process step by step.

## Step 1: Convert the Decimal to a Fraction

The number 19.625 is a decimal, and we need to convert it to a fraction first.

$19.625=19+0.625$

We know that:

$0.625=1000625â€‹$

To simplify $1000625â€‹$, we find the **greatest common** divisor (GCD) of 625 and 1000.

$GCDÂ ofÂ 625Â andÂ 1000=125$

$Ã·Ã·â€‹=85â€‹$

So,

$19.625=19+85â€‹=8Ã—+â€‹=8+â€‹=8157â€‹$

## Step 2: Form the Original Fraction

Now that we have 19.625 as a fraction, **$8157â€‹$,** we can form the original fraction:

$11304157/8â€‹$

This can be rewritten as:

$Ã—157â€‹=90432157â€‹$

## Step 3: Simplify the Fraction

Next, we simplify $90432157â€‹$. We need to find the GCD of 157 and 90432 to reduce the 19.625/11304Â fraction to its simplest form.

First, let’s check if 157 is a prime number. It is, as it has no divisors other than 1 and itself.

Next, we need to see if 157 divides 90432.

Since 157 does not divide 90432 evenly, the fraction $90432157â€‹$ is already in its simplest form.

## Conclusion

The simplified form of the fraction $19.625/11304$ is:

$90432157â€‹$