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Round four thirty-sevenths to the nearest half.
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We’re given the fraction four thirty-sevenths.
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And we’re asked to round it to the nearest half.
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But what are the different multiples of half that we could round it to?
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Well, one times a half equals one-half and two lots of a half make one whole.
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But on our number line, we can also include one other multiple of a half.
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Zero lots of one-half equals zero.
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And it’s important that we do include this as a multiple of one-half.
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So we need to think where four thirty-sevenths might be on our number line and which half it’s nearest to.
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What makes our fraction tricky to deal with?
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Well, the denominator in the fraction is an odd number.
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Because it’s an odd number, we can’t convert it to a fraction that’s exactly the same as one-half.
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If we could, we’d be able to compare four thirty-sevenths with our fraction that was the same as one-half.
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And we’d be able to see whether it was close to this.
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Instead, we’re going to have to use estimation to help.
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And the first thing we can do is to change our denominator into an even number, an even number that’s close to 37.
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Let’s change it into 36.
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Let’s change it to 36.
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Four thirty-sevenths is approximately the same as four thirty-sixths.
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Now, if we divide 36 by two, we get the answer 18.
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Eighteen thirty-sixths is the same as one-half.
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Four thirty-sixths seems a lot less than this.
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It may even be less than a quarter.
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36 split into four equals nine.
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Nine thirty-sixths equals the same as a quarter.
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And so four thirty-sixths is even less than this.
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So we can estimate that four thirty-sevenths has a value less than a quarter.
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And so the multiple of one-half that it’s nearest to is actually zero.
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We know one whole is the same as thirty-seven thirty-sevenths.
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Zero is obviously the same as zero thirty-sevenths.
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And we can’t give the exact amount for one-half, but it’s between eighteen thirty-sevenths and nineteen thirty-sevenths.
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So we can see that the multiple of one-half that four thirty-sevenths is nearest to is zero.