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?
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.