The equation 3/4 ÷ 1/8 simply means how many times 1/8 can fit into 3/4. There are many ways to solve this equation but the way i used get a common denominator between the two numbers. First, I changed 3/4 into 6/8 by multiplying both the numerator and denominator by 2. This way, it is much easier solve. Now all you have to do is figure out how many times 1/8 fits into 6/8 and that's easy, 6!
Another way to solve this is by using the reciprocal. The reciprocal of a number is another number that if multiplied by that number will be one. For example, 1/8's reciprocal is 8 or 8/1 because 8 * 1/8 is 1. When you use the reciprocal strategy you switch out the second number in the problem to its corresponding reciprocal, then you change the operation sign to either division or multiplication depending on which one you started with. In this problem you would change 1/8 into 8/1 and change the division to multiplication. You end up with an easy multiplication problem of 3/4 * 8/1. Now you can multiply the fractions and get 24/4, which when you simplify, comes out with 6! The reason the reciprocal strategy works is because reciprocals are basically opposite and so are multiplication and division.
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