Answer:
13 plants.
Step-by-step 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:
[tex]\text{Number of tomato plant that will fit the garden}=2\frac{3}{5}\div \frac{1}{5}[/tex]
Convert mixed fraction into improper fraction:
[tex]2\frac{3}{5}\Rightarrow\frac{2\times5+3}{5}=\frac{10+3}{5}=\frac{13}{5}[/tex]
[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{5}\div \frac{1}{5}[/tex]
Convert to multiplication problem by flipping the 2nd fraction:
[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{5}\times \frac{5}{1}[/tex]
[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{1}\times \frac{1}{1}[/tex]
[tex]\text{Number of tomato plant that will fit the garden}=13[/tex]
Therefore, 13 plants will fit Malachi's garden.
