If Rapunzel donated 7/8 out of 2/3 of her hair that she cut, the fraction of hair Rapunzel donated would be: \(\mathbf{\frac{7}{12} }\)
We can solve this by applying the knowledge of fractions.
If 2/3 was cut, the fraction that represents the hair that was cut would be = 2/3.
Out of this 2/3, 7/8 was donated to a wig shop. The fraction that represents this would be calculated as follows:
\(\frac{2}{3}\) of \(\frac{7}{8}\)
Change the "of" to multiplication sign and solve
\(\frac{2}{3} \times \frac{7}{8} = \frac{14}{24}\)
Simplify further
\(\mathbf{\frac{7}{12} }\)
Therefore, if Rapunzel donated 7/8 out of 2/3 of her hair that she cut, the fraction of hair Rapunzel donated would be: \(\mathbf{\frac{7}{12} }\)
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