WEBVTT
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Tick the fractions that are equal to 20 percent.
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One twentieth, twenty fortieths, one-fifth, three fifteenths, or two one hundredths.
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Here, we have five different fractions.
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And we’re asked to identify and tick the fractions that are equal to 20 percent.
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Percentages are a way of showing an amount or a part out of 100.
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So 20 percent is the same as 20 out of 100.
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And the most obvious way of writing this as a fraction is as twenty hundredths, 20 out of a possible 100.
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Now, two of our possible fractions have got the number 20 in them.
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And one of them shows a denominator of 100.
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But none of them actually show twenty hundredths.
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This doesn’t mean that none of them can be equal to twenty hundredths.
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It just means we need to think about them.
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So let’s go through each fraction in turn and to try to work out what percentage each fraction is equal to.
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Our first fraction is one twentieth.
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Ideally, we like to turn the twentieth into hundredth so that we can see a fraction out of 100.
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Because 20 is a factor of 100, we can multiply it by five and it will make 100.
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To keep the value of the fraction equal, we need to do the same to the numerator.
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One times five equals five.
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And so, one twentieth is the same as five hundredths, five out of 100.
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And five out of a possible 100 is the same as five percent, not 20 percent.
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So we don’t need to tick the first fraction.
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Onto the second, in a way, this is one of the clearest ones to work out.
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We know that 20 percent is the same as twenty hundredths, 20 out of a possible 100.
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Well, this fractions shows 20 as a numerator.
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But it’s only out of a possible 40.
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That’s not the same as 20 out of 100.
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So we know we don’t need to tick the second fraction.
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Just to prove this, let’s look at what percentage twenty fortieths is worth.
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Twenty fortieths is the same as a half.
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20 is half of 40.
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And we know that a half can be represented as a percentage as 50 percent.
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What about one-fifth?
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Is that equivalent to 20 percent?
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Like the first fraction, we can convert this fraction into hundredths because five is a factor of 100.
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There are five 20s in 100.
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So if we multiply five by 20, we get 100.
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Again, we need to remember to do the same to the numerator.
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One multiplied by 20 equals 20.
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So one-fifth is the same as twenty hundredths or 20 out of 100.
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And we know that this is the value we’re looking for.
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20 out of a possible 100 is the same as 20 percent.
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So let’s tick that box.
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Now at this point, we need to continue going through the fractions.
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We look at the question.
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We’re asked to tick the fractions — that’s plural — that are equal to 20 percent.
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We’re looking for more than one.
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Is three fifteenths equal to 20 percent?
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Unfortunately, we can’t convert this fraction directly into hundredths.
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15 is not a factor of 100.
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So we can’t multiply it by a whole number to give 100.
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We’re gonna have to do something else to help us find the answer.
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What if we try simplifying the fraction?
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Both three and 15 can be divided by three.
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Let’s see how the fraction changes when we simplify it.
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Three divided by three equals one and 15 divided by three equals five.
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Three fifteenths is the same as one-fifth.
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How does this help us?
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Well, look back at the previous fraction.
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We’ve already found out that one-fifth is the same as twenty hundredths which is equal to 20 percent.
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So if three fifteenths is equal to one-fifth, we know that’s equal to 20 percent too.
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So we can tick the box for three fifteenths.
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Finally, we have quite a straightforward one to end with, two one hundredths.
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We know that 20 percent would be written as 20 out of 100 or twenty hundredths.
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Well, this fraction shows two one hundredths.
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So it only has a value of two percent, two out of 100.
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So we don’t need to tick the final fraction.
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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.
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If we could convert them into hundredths, we would.
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And if not, we’d use reasoning to help.
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We didn’t just tick the fractions that had a 20 in them.
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We actually thought about what each fraction was worth.
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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.