Equivalent Fractions with Expressions

Say I wanted to write 3 divided by 4x as an equivalent fraction with a denominator of 8 times x squared times x plus 2. What I must first do is ask myself, "What do I need to multiply 4x by to get 8x squared times x plus 2?" Well, I know that 4 times 2 equals 8. I also know that x times x equals x squared. It looks like we are missing an x plus 2, so we have to place the x plus 2 in the denominator as well. So, what I multiply the denominator by, I also what I multiply the numerator by to maintain equivalency. So, I am going to simply rewrite that at the top. Now all I have to do is just multiply straight across the numerator. So, 3 times 2 equals 6, and simply write down the x times x plus 2.

Our Commitment To Our Students, Faculty, And Staff

At the University of North Georgia, we deeply value and uphold the cherished right of every American to freely express themselves. It is a hallmark of our history, our tradition, and permeates our culture. As a distinguished Senior Military College, with a legacy spanning over 150 years, we take great pride in our role of cultivating leaders who tirelessly defend these fundamental freedoms for all citizens. The legacy of our graduates in this regard is second to none.

As campus leaders, our primary responsibility is to cultivate an academic environment that ensures this exchange of ideas and the safety of our community. Across all five campuses, we are committed to fostering a welcoming atmosphere where individuals feel empowered to freely express themselves and engage in exploration and learning. However, it is essential that these rights are exercised in a manner that upholds our academic mission, preserves the safety of all, and is in accordance with our institutional policies, without unlawful behavior. This means breaking the law, harassment, intimidation, trespassing, violence, and other criminal acts will not be tolerated at the University of North Georgia.

Together, let's uphold the principles of respect, understanding, and civility as we equip our students to walk toward their purpose.

Bold Forward!