When kaitlin divided a fraction by 1/2 the result was a mixed number. What was the original fraction less than of greater than 1/2? Explain your reasoning

The original fraction would have to be greater than 1/2 because when dividing fractions we follow the rule of keep-change-flip which means we will keep the first fraction-change the sign of the problem to multiplicaiton-flip the second fraction. If our answer is less than 1/2, when we complete the rule, our answer would be lesson than one.

Step-by-step explanation:

Dividing fractions will always follow the rule of keep-change-flip, which means we will keep the first fraction-change the sign from division to multiplication - flip the second fraction. In the case of dividing by 1/2, we would actually end of multiplying by 2. So, if our fraction was more than 1/2, for example 3/4, we would get the following problem: 3/4 x 2/1, or 6/4 which is 1 1/2. However, if our fraction was lesson than 1/2, for example 1/8, we would get the following problem: 1/8 x 2/1 = 2/8 or 1/4.