Evaluate the expression \( c-b \) when \( b=\frac{4}{5} \) and \( c=6 \). Write in simplest form.
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To evaluate the expression \( c - b \) given \( b = \frac{4}{5} \) and \( c = 6 \), we can substitute the values into the expression: \[ c - b = 6 - \frac{4}{5} \] To subtract the fraction from the whole number, we need to express \( 6 \) as a fraction with a denominator of \( 5 \). We can do this as follows: \[ 6 = \frac{6 \times 5}{1 \times 5} = \frac{30}{5} \] Now we can perform the subtraction: \[ c - b = \frac{30}{5} - \frac{4}{5} = \frac{30 - 4}{5} = \frac{26}{5} \] Thus, the expression \( c - b \) in simplest form is: \[ \frac{26}{5} \]