a. We are told that 3/5 of the devotional books are bible storybooks.
Also, he will move to the display table 1/2 of that fraction.
So, to find the final fraction part of the children's devotional books he moves, we need to find 1/2 of 3/5.
So, we need to multiply the fraction 1/2 by the fraction 3/5:
![(1)/(2)\cdot(3)/(5)=(1\cdot3)/(2\cdot5)=(3)/(10)](https://img.qammunity.org/2023/formulas/mathematics/college/pisqozsngd4a98te8efc2txbltctv12q7w.png)
Thus, the fraction part is
![\mathbf{(3)/(10)}](https://img.qammunity.org/2023/formulas/mathematics/college/xo179v3lzzbz89ijtuvpzrg7kb2uenfi7x.png)
b. Now, notice that the total of devotional books is 100. So, we need to find 3/10 of 100. We do so by multiplying that fraction by 100:
![(3)/(10)\cdot100=3\cdot(100)/(10)=3\cdot10=30](https://img.qammunity.org/2023/formulas/mathematics/college/d9w87zw4sc9gjj8clpfecakfq3ebibi21k.png)
Therefore, the number of bible storybooks he moved to the display table is 30.