Express 100!−99!−98!100!+99!+98! in lowest terms.
Call 98! x. That means that 99! is 99x and 100! is 9900x. The numerator of the fraction is 9900x-99x-x = 9800x and the denominator of the fraction is 9900x+99x+x = 10000x. The resulting fraction simplifies to 49/50 which is our answer.
+934 
