Question

Reduce the given fraction 175/200 to lowest terms. Explain your steps.

Answer 1

`(7)/(8)`

Step-by-step explanation

We want to reduce the given fraction to the lowest terms.

To do this, we have to divide both the numerator and denominator by their highest common factor.

The highest common factor of 175 and 200 is 25.

Therefore, the fraction in lowest terms is:

`\begin{gathered} (175)/(200)\Rightarrow((175)/(25))/((200)/(25)) \\ \Rightarrow(7)/(8) \end{gathered}`

That is the fraction in the lowest terms.