1. ## fraction problem

Please answer this problem as soon as possible! Thank you so much!

What fraction lies half way between 1/2 and 3/4?

2. Hello,

$\displaystyle \frac 34 - \frac 12=\frac 14$

Hence, the distance from $\displaystyle \frac 12$ to $\displaystyle \frac 34$ is $\displaystyle \frac 14$.
Half the way will be $\displaystyle \frac 12 \cdot \frac 14=\frac 18$

So half way will be at $\displaystyle \frac 12+\frac 18=\frac 34-\frac 18=\dots$

3. Originally Posted by swimalot
Please answer this problem as soon as possible! Thank you so much!

What fraction lies half way between 1/2 and 3/4?
This midpoint between two points is $\displaystyle \frac{a+b}{2}$

so we get

$\displaystyle \frac{\frac{3}{4}+\frac{1}{2}}{2}=\frac{\frac{5}{4 }}{2}=\frac{5}{8}$