Question

Can somone help me reduce fraction to lowest terms 1/4 +5/8 please show work

Answer 1

Hello!

The answer is:

The lowest term will be:

`(7)/(8)`

Why?

Reducing a fraction to its lowest term means writing it its simplified form, so, performing the operation and simplifying we have:

`(1)/(4)+(5)/(8)=((1*8)+(4*5))/(4*8)\\\\((1*8)+(4*5))/(4*8)=(8+20)/(32)=(28)/(32)`

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:

`((28)/(4) )/((32)/(4))=(7)/(8)`

Hence, we have that the lowest term will be:

`(7)/(8)`

Have a nice day!