On the moon, you would only weigh \(\frac{1}{6}\) of what you weigh on earth. If you weigh 138 pounds on earth, what would your weight on the moon be?
23
Explanation
To find your weight on the moon, take \(\frac{1}{6}\)of your weight on Earth. In this case, “of” means multiply, so multiply your weight on Earth by \(\frac{1}{6}\) .
Understood: 138=\(\frac{138}{1}\)
\(\frac{1}{6}*138 = \frac{1}{6}*\frac{138}{1}\)
Multiply numerators; multiply denominators.
=\(\frac{138}{8}\)
Factor numerator and denominator.
=\(\frac{2*3*23}{2*3}\)
Cancel common factors.
\(=\frac{2*3*23}{2*3}\)
Remaining factor.
=23
Therefore, you would weigh only 23 pounds on the moon.
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