Hello!
The answer is:
The lowest term will be:
[tex]\frac{7}{8}[/tex]
Why?
Reducing a fraction to its lowest term means writing it its simplified form, so, performing the operation and simplifying we have:
[tex]\frac{1}{4}+\frac{5}{8}=\frac{(1*8)+(4*5)}{4*8}\\\\\frac{(1*8)+(4*5)}{4*8}=\frac{8+20}{32}=\frac{28}{32}[/tex]
Now, to reduce the fraction to its lowest term, we need to divide both numerator and denominator by a common number, for this case, it will be "4" since is the biggest whole number that both numerator and denominator can be divided by, so, we have:
[tex]\frac{\frac{28}{4} }{\frac{32}{4}}=\frac{7}{8}[/tex]
Hence, we have that the lowest term will be:
[tex]\frac{7}{8}[/tex]
Have a nice day!
