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Calculate two-fifths times three-fourths, giving your answer in its simplest form.
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When multiplying fractions, we take the numerators — the numbers on the top — and we multiply them together.
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So we will have two times three on our numerator.
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And then, on the bottom, our denominators, we multiply those together.
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So we have five times four.
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Now, one thing to keep in mind is we’re supposed to put our answer in simplest form.
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So we can either reduce here or we can go ahead and multiply our numbers and then reduce at the end.
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Let’s go ahead and multiply first, get an answer, reduce.
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And we will show the other way where we could have reduced right here.
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So two times three is six and five times four is 20.
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Now, six 20ths reduces to three 10ths.
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This is because the largest number that goes into six and 20 will be two.
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And six divided by two is three and 20 divided by two is 10.
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So our final answer is three 10ths.
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Now, let’s go back to this step because we actually could have reduced right here.
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So any numbers on the top can simplify or cancel with any numbers on the bottom.
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So we have two and three on the top and five and four on the bottom.
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So are there a pair of numbers that can simplify, where one number is on the top and one is on the bottom.
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Two and four, two goes into itself one time and two goes into four two times.
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So on the numerator, we have one times three.
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And on the denominator, we have five times two.
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Now, since we already reduced, when we multiply, this should be your final answer.
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So on the numerator, one times three is three and five times two is 10.
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And three 10ths is indeed the correct answer.
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So again, our final answer will be three 10ths.