Answer:
![\displaystyle(100)/(0.305) = 327.868852](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fhoq5hfyettfcw8tnv4bmzzfrbb7eq7xdk.png)
![\displaystyle(7)/(19.551) = 0.358037](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zug1zb0v3zs3tfmoeyshj3mw8ottfbcc0j.png)
Explanation:
We have to find 100 divided by 0.305. This can be written as:
![\displaystyle(100)/(0.305)\\\\= \displaystyle(100* 1000)/(0.305* 1000)\\\\= \displaystyle(100000)/(305) = 327\displaystyle(53)/(61)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xr6j33xn9ycxv5vm173rbrszu96vsgvaif.png)
Reducing this fraction in lowest form by dividing the numerator and denominator by 5, we have,
![\displaystyle(20000)/(61)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b3ydwcdfxtj7io7zyuewzvzubo2tvykkbl.png)
The decimal expansion of this fraction is 327.868852
Now, we have to divide 7 by 19.551. This can be written as:
![\displaystyle(7)/(19.551)\\\\= \displaystyle(7* 1000)/(19.551* 1000)\\\\= \displaystyle(7000)/(19551)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cbp41qsbk414rn4vpzs1rttm8d6z4qj615.png)
Reducing this fraction in lowest form by dividing the numerator and denominator by 7, we have,
![\displaystyle(1000)/(2793)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9wzj2er5tauwqre0j9tqia907cr0px3npq.png)
The decimal expansion of this fraction is 0.358037