Find the indicated difference. Express your answer in mixed number form, and reduce if possible. \[ 7 \frac{1}{5}-4 \]
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To find the indicated difference, we first convert the mixed number \( 7 \frac{1}{5} \) into an improper fraction. We do this by multiplying the whole number (7) by the denominator (5) and adding the numerator (1): \[ 7 \frac{1}{5} = \frac{7 \times 5 + 1}{5} = \frac{35 + 1}{5} = \frac{36}{5} \] Next, we convert the whole number \( 4 \) to a fraction with the same denominator: \[ 4 = \frac{4 \times 5}{5} = \frac{20}{5} \] Now, we can subtract the two fractions: \[ \frac{36}{5} - \frac{20}{5} = \frac{36 - 20}{5} = \frac{16}{5} \] Now we convert \( \frac{16}{5} \) back into a mixed number. We divide 16 by 5, which gives us 3 with a remainder of 1. This can be expressed as: \[ 3 \frac{1}{5} \] Thus, the answer in mixed number form is: \[ \boxed{3 \frac{1}{5}} \]