We'll worry about the negative later. To divide fractions we invert the divisor by swapping top and bottom of the fraction then use it as a multiplier. We also need to convert the whole number plus fraction into an improper fraction. We do this by multiplying the whole number by the denominator and adding on the numerator so: 4 and 4/5 is 5*4+4 all divided by 5: 24/5. The inverted divisor becomes 5/3. Calculate: 24/5*5/3. The 5's cancel out and 3 goes into 24 8 times so the answer is 8. Now to the negative bit. Positive divided by negative is negative and so is negative divided by positive and so is negative multiplied by positive and positive by negative. Everything else is positive. So we have negative divided by positive which is negative, so the answer is -8. Simple rule: if the signs are the same, the answer is positive; if they're different it's negative. How simple is that?