Show that C is an integer

C=16*25-32*75/64*6*16
16(25-2*3*25)/16*6*64
25(1-6)/6*64
-125/384
-0.3255208
Which is a decimal and not an integer. Please help.

16*25 - 32*75/64*6*16

400 - 32*16*6*75/64
400 - 64*8*6*75/64
...

You must do all the multiplications and divisions before the subtraction.