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Calculate seven and one-fourth times one-half.
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Before multiplying these numbers together, let’s change this mixed number to an improper fraction.
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So seven and one-fourth, we have the whole number seven and then the fraction portion of one-fourth.
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So we’ll add them together.
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However, in order to add fractions, they have to have a common denominator.
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So one-fourth has a denominator of four.
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But seven has a denominator of one.
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So to make the denominator be a four, we will have to multiply it by four.
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However, we can’t just multiply a piece of a fraction.
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If we multiply the denominator by four, we need to multiply the numerator by four.
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So seven over one is equal to 28 over four.
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So now we add them together.
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And when adding fractions, we add our numerators — the numbers on the top — so 28 plus one, which is 29.
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And then we keep our common denominator a four.
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So we get twenty-nine fourths.
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So originally, it said to multiply seven and one-fourth times one-half.
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So instead of seven and one-fourth, we will replace it with twenty-nine fourths.
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So now, we need to multiply these fractions together.
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So we will multiply the numerators together, which are the 29 and the one.
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So we have 29 times one on the numerator.
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And then for the denominator, which are the numbers on the bottom, we multiply four and two together.
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So on the numerator, we have 29 times one, which is 29, and then on the denominator, four times two, which is eight.
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So here, we have an improper fraction of twenty-nine eighths.
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However, the question originated using mixed numbers.
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So let’s go ahead and put our improper fraction of twenty-nine eighths as a mixed number.
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So the way that we will get our whole number is to think how many times does eight go into 29.
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In our calculators, we can simply put 29 divided by eight.
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And we get three.
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So eight goes into 29 three times because eight times eight times eight is 24.
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So how many more do we need to get to 29?
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That would be five.
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So our answer in mixed number form will be three and five-eighths.
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And this will be our final answer.