Step 1:
The first step to converting 48.9687584 to a fraction is to re-write 48.9687584 in the form p/q where p and q are both positive integers. To start with, 48.9687584 can be written as simply 48.9687584/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 48.9687584, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 48.9687584/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 48.9687584/1 each by 10000000:
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 48.9687584 as a fraction:
1567/32 / 1