Question

when kaitlin divided a fraction by 1/2,th result was a mixed number .was the original fraction less than or greater than 1/2?

Answer 1

Thank you for posting your question here. The original fraction was greater than 1/2 if the result is a mixed number when Kaitlin divided a fraction by 1/2. In dividing a fraction you need to change the division sign to multiplication and invert the fraction to the right of the sign. Multiply the numerators and the denominators, but leave them in factored form.

Answer 2

Answer:  The original fraction was greater than $\dfrac{1}{2}.$

Step-by-step explanation:  Given that when Kaitlin divided a fraction by $\dfrac{1}{2},$ the result was a mixed number.

We are to check whether the original fraction was greater than or less than $\dfrac{1}{2}.$

Let f denotes the original fraction and m denotes the resulting mixed number.

Since the mixed number is always greater than 1, so m is greater than 1.

That is,

$\dfrac{f}{\frac{1}{2}}=m\\\\\\\Rightarrow \dfrac{f}{\frac{1}{2}}>1\\\\\\\Rightarrow f>\dfrac{1}{2}.$

Thus, the original fraction was greater than $\dfrac{1}{2}.$