Video: GCSE Mathematics Foundation Tier Pack 1 • Paper 2 • Question 1

GCSE Mathematics Foundation Tier Pack 1 • Paper 2 • Question 1

01:29

Video Transcript

Express 17 over 50 as a decimal.

So in this question, what we need to do is actually convert our fraction, which is 17 over 50 or seventeen fiftieths, to a decimal. And the best way to do that with this particular fraction is actually to see how many hundreds there is, so to actually make it a fraction where the denominator is 100.

So first of all, we have a look at what we need to do to our denominator, so 50 to get to 100. We’ll need to multiply by two. And therefore, as we’ve done that to the denominator, we also have to do that to the numerator. So therefore, we multiply 17 by two, which gives us 34. So therefore we’ve got 34 over 100, or thirty-four hundredths.

Okay, but how does this help us when we’re actually trying to turn it into a decimal? Well, let’s actually think about our place values. So let’s think if we have units, then our decimal point, then we’ll have tenths and then we’ll have hundredths. So therefore, if we actually put thirty-four hundredths into a decimal using our place value, we’re gonna have zero point. And then because it’s thirty-four hundredths, that means we’re gonna have three tenths and four hundredths. And that’s because three tenths is equal to thirty hundredths. Okay, so we’ve now expressed 17 over 50 as a decimal. So therefore, we can say that 17 over 50 or seventeen fiftieths is equal to 0.34.

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