### Video Transcript

Tick the fractions that are equal
to 20 percent. One twentieth, twenty fortieths,
one-fifth, three fifteenths, or two one hundredths.

Here, we have five different
fractions. And we’re asked to identify and
tick the fractions that are equal to 20 percent. Percentages are a way of showing an
amount or a part out of 100. So 20 percent is the same as 20 out
of 100. And the most obvious way of writing
this as a fraction is as twenty hundredths, 20 out of a possible 100. Now, two of our possible fractions
have got the number 20 in them. And one of them shows a denominator
of 100. But none of them actually show
twenty hundredths. This doesn’t mean that none of them
can be equal to twenty hundredths. It just means we need to think
about them. So let’s go through each fraction
in turn and to try to work out what percentage each fraction is equal to.

Our first fraction is one
twentieth. Ideally, we like to turn the
twentieth into hundredth so that we can see a fraction out of 100. Because 20 is a factor of 100, we
can multiply it by five and it will make 100. To keep the value of the fraction
equal, we need to do the same to the numerator. One times five equals five. And so, one twentieth is the same
as five hundredths, five out of 100. And five out of a possible 100 is
the same as five percent, not 20 percent. So we don’t need to tick the first
fraction.

Onto the second, in a way, this is
one of the clearest ones to work out. We know that 20 percent is the same
as twenty hundredths, 20 out of a possible 100. Well, this fractions shows 20 as a
numerator. But it’s only out of a possible
40. That’s not the same as 20 out of
100. So we know we don’t need to tick
the second fraction. Just to prove this, let’s look at
what percentage twenty fortieths is worth. Twenty fortieths is the same as a
half. 20 is half of 40. And we know that a half can be
represented as a percentage as 50 percent.

What about one-fifth? Is that equivalent to 20
percent? Like the first fraction, we can
convert this fraction into hundredths because five is a factor of 100. There are five 20s in 100. So if we multiply five by 20, we
get 100. Again, we need to remember to do
the same to the numerator. One multiplied by 20 equals 20. So one-fifth is the same as twenty
hundredths or 20 out of 100. And we know that this is the value
we’re looking for. 20 out of a possible 100 is the
same as 20 percent. So let’s tick that box.

Now at this point, we need to
continue going through the fractions. We look at the question. We’re asked to tick the fractions —
that’s plural — that are equal to 20 percent. We’re looking for more than
one. Is three fifteenths equal to 20
percent? Unfortunately, we can’t convert
this fraction directly into hundredths. 15 is not a factor of 100. So we can’t multiply it by a whole
number to give 100. We’re gonna have to do something
else to help us find the answer. What if we try simplifying the
fraction?

Both three and 15 can be divided by
three. Let’s see how the fraction changes
when we simplify it. Three divided by three equals one
and 15 divided by three equals five. Three fifteenths is the same as
one-fifth. How does this help us? Well, look back at the previous
fraction. We’ve already found out that
one-fifth is the same as twenty hundredths which is equal to 20 percent. So if three fifteenths is equal to
one-fifth, we know that’s equal to 20 percent too. So we can tick the box for three
fifteenths.

Finally, we have quite a
straightforward one to end with, two one hundredths. We know that 20 percent would be
written as 20 out of 100 or twenty hundredths. Well, this fraction shows two one
hundredths. So it only has a value of two
percent, two out of 100. So we don’t need to tick the final
fraction.

We found the fractions that were
equal to 20 percent by looking for equivalent fractions that were equal to those
fractions that we were given. If we could convert them into
hundredths, we would. And if not, we’d use reasoning to
help. We didn’t just tick the fractions
that had a 20 in them. We actually thought about what each
fraction was worth.

So the only two ticks that we
should’ve made are the two fractions that are equal to 20 percent: one-fifth and
three fifteenths.