Respuesta :
Answer:
3/10
Step-by-step explanation:
First, let's calculate how much Garrett spent on baseball equipment. If he spent \( \frac{2}{5} \) of his birthday money on baseball equipment, and let's say his birthday money is represented by \( M \), then the amount he spent on equipment is \( \frac{2}{5} \times M \).
Now, out of the money he spent on equipment, \( \frac{6}{8} \) was spent on the new mitt. So, to find out how much he spent on the mitt, we multiply the amount he spent on equipment by \( \frac{6}{8} \).
Therefore, the fraction of Garrett's birthday money spent on the mitt is:
\[ \frac{2}{5} \times M \times \frac{6}{8} \]
To simplify this expression, first, let's cancel out the common factors:
\[ \frac{2}{5} \times \frac{6}{8} = \frac{2}{5} \times \frac{3}{4} = \frac{6}{20} \]
Now, we simplify this fraction:
\[ \frac{6}{20} = \frac{3}{10} \]
So, Garrett spent \( \frac{3}{10} \) of his birthday money on the new mitt.
