Learn about Division of Fractions This video lesson covers division of fractions. We’ll solve two problems. The first one, let’s do this first, is 7/15÷4/5. We’ve got two fractions. One is dividing the other. Now, first thing we need to know is the division of fractions is the same as multiplying the first fraction with the reciprocal of the other. In this case, 7/15÷4/5 is the same as multiplying 7/15 with the reciprocal of 4/5 which is 5/4. It’s the reciprocal of 4/5. Now that I have this, this is simple, 7×5 is 35, 15×4 is 60. I can divide both of these by the GCF which is 5, so 35÷5 is 7, 60÷5 is 12. That’s the answer we were looking for. Let’s do the second problem which is 51/3÷-7. This is a mixed fraction or a mixed number. First, we’ve got to convert this to an improper fraction. We know we do this by taking the whole number which is 5, multiply it with the denominator which is 3, add the numerator which is 1 and have the whole thing be over the denominator which is 3÷-7. 5×3 is 15+1 is 16/3÷ -7, -7 is the same as -7/1. Since this is a division operation, this is the same as 16/3 multiplied by the reciprocal of this which is -1/7. Now that I have this, I can multiply 16×-1 is -16, 3×7 is 21. That’s what we’re looking for, -16/21. Quickly recapping what we’ve learned. If we’re dividing two fractions, you can multiply one with the reciprocal of the other. That becomes relatively easier to do and if we get the answer which can further be simplified or put into simplest form; we can do that by dividing both the numerator and denominator by their GCF or Greatest Common Factor. Similarly, if we got a mixed fraction being divided by a number, first we convert the mixed fraction to an improper fraction and now that we’re trying to divide, it’s the same as multiplying with the reciprocal which gives me 16/21.