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Hannah’s shopping bag weighs 51 sevenths pounds.
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Express the bag’s weight as a mixed number.
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A mixed number is a whole number plus a proper fraction.
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We need to take this 51 over seven and break it into two parts, a whole number and a proper fraction.
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To do that, let’s do some division.
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Let’s divide 51 by seven.
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How many times can seven go into 51?
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I know that seven times seven equals 49.
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And that’s pretty close to 51.
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So let’s try seven.
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We multiply seven times seven, which equals 49.
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And then we subtract 51 minus 49 equals two.
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So seven goes into 51 seven times, with a remainder of two.
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Since seven goes into 51 seven times, the whole number piece of our mixed number is seven.
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We can use this remainder to find the proper fraction piece.
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The remainder becomes the numerator of our proper fraction.
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And the divisor becomes the denominator.
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In fact, the denominator stays the same from the original improper fraction.
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Now that we have the two pieces, we can put them together.
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51 over seven written as a mixed number is seven and two-sevenths.
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Hannah’s bag weighed seven and two-sevenths pounds.