Simplify the following:
25/10^12+3/1000
10^12 = 1000000000000:
25/1000000000000+3/1000
The gcd of 25 and 1000000000000 is 25, so 25/1000000000000 = (25×1)/(25×40000000000) = 25/25×1/40000000000 = 1/40000000000:
1/40000000000+3/1000
Put 1/40000000000+3/1000 over the common denominator 40000000000. 1/40000000000+3/1000 = 1/40000000000+(40000000×3)/40000000000:
1/40000000000+(40000000×3)/40000000000
40000000×3 = 120000000:
1/40000000000+120000000/40000000000
1/40000000000+120000000/40000000000 = (1+120000000)/40000000000:
(1+120000000)/40000000000
1+120000000 = 120000001:
Answer: |120,000,001/40,000,000,000
