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Estimate ten-elevenths plus one-seventh by rounding each fraction to the nearest half.
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What does it mean to the nearest half?
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For this problem, we’ll have three main choices if we’re gonna estimate to the nearest half: we could have zero halves or just zero; we could have one-half or two halves.
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And what we wanna do is to see where the fractions we’re working with fall on a number line like this.
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Whichever number they’re closest to — whichever half they’re closest to — zero, one-half, or two halves; that’s what we’ll use for rounding.
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Ten-elevenths is nearly eleven-elevenths; it is almost one.
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So for rounding purposes, we’ll consider ten-elevenths one.
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Ten-elevenths is about one.
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One-seventh is actually closest to zero.
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I know that three and a half sevenths would be equal to one-half.
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One-seventh is much closer to zero than it is to one-half.
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So for rounding, we round one-seventh to zero.
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And then we estimate.
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So we add the two together: one plus zero equals one.
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This is the estimation for ten-elevenths plus one-seventh.