Answer:
13 plants.
Explanation:
We have been given that Malachi’s garden is 2 3/5 meters long. He wants to plant tomato plants every 1/5 of a meter.
To find the number of tomato plant that will fit the garden, we will divide length of garden by 1/5 as:
![\text{Number of tomato plant that will fit the garden}=2(3)/(5)/ (1)/(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n58yie7az51r2jedzy2g5atnefq3vk245o.png)
Convert mixed fraction into improper fraction:
![2(3)/(5)\Rightarrow(2*5+3)/(5)=(10+3)/(5)=(13)/(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/o749hrbe2kmbddojntmb95bp80nfgeex6k.png)
![\text{Number of tomato plant that will fit the garden}=(13)/(5)/ (1)/(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k6jqp74w6i8m4bqlnr6mjpqg8z28485iqm.png)
Convert to multiplication problem by flipping the 2nd fraction:
![\text{Number of tomato plant that will fit the garden}=(13)/(5)* (5)/(1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n6u44h60nea2sqwf9kw6ronfl1a5lzn70d.png)
![\text{Number of tomato plant that will fit the garden}=(13)/(1)* (1)/(1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bho7wb3trons725r0jq6vfi4hlsqics4nh.png)
![\text{Number of tomato plant that will fit the garden}=13](https://img.qammunity.org/2020/formulas/mathematics/middle-school/f2ducwjih3meldd6s8f8qolpb1rmtidzp8.png)
Therefore, 13 plants will fit Malachi's garden.