Video Transcript
Write 120 percent as a fraction in
its simplest form.
We begin by recalling that any
percentage 𝑝 percent can be expressed as the fraction 𝑝 over 100. This means that 120 percent can be
written as 120 over 100. In order to simplify this fraction,
we need to find common factors of the numerator and denominator. And whilst we can do this in
several steps, we can do it in one step by finding the highest common factor of 120
and 100. This is equal to 20, so we can
divide both the numerator and denominator by 20. 120 divided by 20 is six, and 100
divided by 20 is five. So the fraction 120 over 100
simplifies to six over five, or six-fifths.
We can actually go one stage
further here as we can convert six-fifths to a mixed number. Since six-fifths is equal to
five-fifths plus one-fifth, it can be written as the mixed number one and
one-fifth. And we can therefore conclude that
120 percent written as a fraction in its simplest form is one and one-fifth.
