Answer:
Each person will have the amount of 4/20 ft piece of gum equivalent to 1/5 ft
Explanation:
we know that
For sharing the 1/4 piece of gum equally with 5 people, first divide each piece of 1/4 by 5
so
![((1/4))/(5)=(1)/(20)\ ft](https://img.qammunity.org/2020/formulas/mathematics/high-school/gxhwl9tlkql20ubr1cftf9adbfvtk8g0bh.png)
At this moment we have 20 pieces and each one is 1/20 ft
The number of pieces that corresponds to each person is 20 divided by 5.
so
![4*(1)/(20)=(4)/(20)\ ft](https://img.qammunity.org/2020/formulas/mathematics/high-school/ly0sma2t7dt387us20xmq2pynvdwdec8ex.png)
each person will have the amount of 4/20 ft piece of gum
simplify
![(4)/(20)=(1)/(5)\ ft](https://img.qammunity.org/2020/formulas/mathematics/high-school/3915vxl2hez3awquvnauwar5stgxq8dft5.png)