Express both as proper fractions: 23 3/4=95/4; 41 1/5=206/5.
To multiply: 95/4*206/5 or (95*206)/(4*5). We can divide 5 into 95 and 2 into both 206 and 4:
19*103/2=1957/2=978 1/2.
If we divide 95/4 by 206/5 we invert the divisor fraction and multiply. This is (95*5)/(4*206)=475/824, because we cannot cancel down the fraction at all, since there are no common factors.