WEBVTT
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Evaluate one-fourth plus three-fourths plus negative one-fourth.
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In order to evaluate, we must follow order of operations.
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First, we evaluate inside parentheses, then exponents, and then multiplication or division whatever comes first left to right, and then addition and subtraction whatever comes first left to right.
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So in our equation, we have parentheses.
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And then, we were adding.
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So we must first evaluate that inside the parentheses.
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So in order to add one-fourth plus three-fourths, we need to make sure they have a common denominator.
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And they do.
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They both have a denominator of four.
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So they have that in common.
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So next, we will simply add the numerators, so one plus three.
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One plus three is four for the numerator and we keep the common denominator, our four.
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So now that we’ve evaluated everything inside the parentheses, we don’t have to write them down anymore.
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So we need to bring down the plus negative one-fourth.
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So while it may have been tempting to reduce the four over four to be one, we’re still adding fractions.
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So we will need common denominators.
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And these both have a common denominator of four.
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So we’ll keep that.
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And now, we need to add our numerators: four plus negative one.
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And four plus negative one is the same as four minus one, which is equal to three.
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And we keep our denominator of four.
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Therefore, our final answer will be three-fourths.