Video: Subtracting an Improper Fraction from a whole Number

Jacob hiked 10 miles. He ran 16/4 miles and then walked the rest. Determine the distance that Jacob walked.

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Video Transcript

Jacob hiked 10 miles. He ran sixteen-fourths miles and then walked the rest. Determine the distance that Jacob walked.

Jacob hiked 10 miles. Part of the hike he was running. And the rest of the hike he was walking. To determine the distance Jacob walked, we need to take the total distance of the hike, subtract the number of miles he was running. And that will give us the number of miles he was walking. 10-mile total hike minus sixteen-fourths equals how long Jacob was walking.

But we notice something about sixteen-fourths. It is an improper fraction that can be reduced. If we divide the numerator and the denominator by four, 16 divided by four equals four. Four divided by four equals one. Four over one equals four. And that means that Jacob was running for four miles. 10 miles minus four miles equals six miles.

Jacob walked six miles.

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