The denominator of a certain number was 147 greater than its numerator. what was the denominator of this fraction, if after the fraction was reduced it became 5/12

Let  be the denominator of the number. Since we know that the denominator of the number was 147 greater than its numerator, the denominator of the number was , so our number was . We also know that after the fraction was reduced it became 5/12, so we can equate both fractions and solve for :







Now we can replace 105 in our original fraction to get our number:



We can conclude that the original number was