If Rapunzel donated 7/8 out of 2/3 of her hair that she cut, the fraction of hair Rapunzel donated would be: [tex]\mathbf{\frac{7}{12} }[/tex]
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:
[tex]\frac{2}{3}[/tex] of [tex]\frac{7}{8}[/tex]
Change the "of" to multiplication sign and solve
[tex]\frac{2}{3} \times \frac{7}{8} = \frac{14}{24}[/tex]
Simplify further
[tex]\mathbf{\frac{7}{12} }[/tex]
Therefore, if Rapunzel donated 7/8 out of 2/3 of her hair that she cut, the fraction of hair Rapunzel donated would be: [tex]\mathbf{\frac{7}{12} }[/tex]
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