To simplify the expression \(0.625 + \frac{3}{4}\), we first convert \(0.625\) to a fraction.
We know that: \[ 0.625 = \frac{625}{1000} = \frac{625 \div 125}{1000 \div 125} = \frac{5}{8} \]
Next, add the two fractions: \[ \frac{5}{8} + \frac{3}{4} \]
To add these fractions, we need a common denominator. The least common denominator of \(8\) and \(4\) is \(8\).
Convert \(\frac{3}{4}\) to have a denominator of \(8\): \[ \frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8} \]
Now, we can add the fractions: \[ \frac{5}{8} + \frac{6}{8} = \frac{5 + 6}{8} = \frac{11}{8} \]
Thus, the simplified expression is \(\frac{11}{8}\).
The correct response is: 11/8