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The actual size of a bracelet is four times larger than a photo of it in an advert.
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If the length of the bracelet in the photo is one and one-sixth inches, what is the actual length of the bracelet?
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Our problem talks about the size of a bracelet.
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But we’re given two different sizes.
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The question talks about a photo of a bracelet in an advert.
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And we’re told that the length of the bracelet in the photo is one and one-sixth inches.
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The second size of the bracelet that’s mentioned is actually mentioned in the first sentence.
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And that’s the actual size of the bracelet, the size of the bracelet in real life.
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We’re not told this in inches.
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But we are told that the actual size is four times larger than the photo of it in an advert.
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We need to use the information that we’re given to calculate the actual length of the bracelet.
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If we were to sketch the problem as a bar model, it might look like this.
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One bar is worth one and one-sixth inches.
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And so, the actual size of the bracelet could be represented by a much longer bar that’s worth four times one and one-sixth inches.
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So to calculate the answer, we need to multiply one and one-sixth by four.
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Now, one and one-sixth is a mixed number.
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It has a whole number part, which is the number one, and a fraction part.
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That’s the one-sixth on the end.
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To help us multiply this mixed number by four, let’s partition it.
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First, we can multiply the whole number part, which is one.
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And then let’s multiply the fraction part, one-sixth.
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So first of all, four times one we know is four.
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And although multiplying fractions can be tricky at times, to find four lots of one-sixth is fairly easy.
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If we have four lots of one-sixth, we have four-sixths.
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Now, we have a whole number answer and a fraction answer.
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And if we combine these two together, we’re going to get another mixed number.
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Four plus four-sixths equals four and four-sixths.
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Now, we could write down this as the answer.
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The actual length of the bracelet is four and four-sixths inches.
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But it’s always a good idea to try to simplify a fraction, if we can.
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And we can simplify four-sixths.
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To simplify a fraction, we need to divide both the numerator and the denominator by the largest possible common factor that they both have.
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In this case, the largest common factor of four and six is two.
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Four divided by two equals two.
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And six divided by two equals three.
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Four-sixths can be simplified and written as two-thirds.
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And so, if the length of a bracelet in an advert is one and one-sixth inches and the actual size of the same bracelet is four times larger than the photo.
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The actual size of the bracelet in real life is four and two-thirds of an inch.