### Video Transcript

Simplify two 𝑥 over five plus
three 𝑥 over four. So again those denominators don’t
have any common factors other than one, so I’m gonna have to multiply both of the
fractions by some version of one in order to get equivalent fractions. And I’m gonna multiply the second
fraction by five over five, and I’m gonna multiply the first fraction by four over
four. And now I’ve got common
denominators of four over four times five in each case. And because I’ve got those common
denominators, I can merge those two fractions into one. So I’ve got four lots of two 𝑥
plus five lots of three 𝑥 all over four times five, so let’s evaluate some of
those. Well four times two 𝑥 is eight 𝑥,
five times three 𝑥 is fifteen 𝑥, so we’re adding fifteen 𝑥, and four times five
on the bottom is twenty. And eight 𝑥 plus fifteen 𝑥 is
twenty-three 𝑥. Nothing cancels down, so that’s our
answer.