The lowest term is [tex]\frac{75}{4}[/tex].
Solution:
Given expression is [tex]50\times\frac{3}{8}[/tex]
To reduce this term to the lowest term:
[tex]$50\times\frac{3}{8}=\frac{50}{1}\times\frac{3}{8}[/tex]
Multiply the numerator and denominator.
[tex]$50\times\frac{3}{8}=\frac{150}{8}[/tex]
Now, divide the numerator and denominator by the greatest common factor.
Here 150 and 8 both have common factor 2.
So, divide numerator and denominator by 2.
[tex]$=\frac{150\div2}{8\div2}[/tex]
[tex]$=\frac{75}{4}[/tex]
[tex]$50\times\frac{3}{8}=\frac{75}{4}[/tex]
Hence the lowest term is [tex]\frac{75}{4}[/tex].