To simplify the expression \(0.625 + \frac{3}{4}\):
-
Convert \(0.625\) to a fraction. Since \(0.625 = \frac{625}{1000}\), we can simplify this: \[ 625 \div 125 = 5 \quad \text{and} \quad 1000 \div 125 = 8 \quad \Rightarrow \quad 0.625 = \frac{5}{8} \]
-
Now we add \(\frac{5}{8} + \frac{3}{4}\). First, convert \(\frac{3}{4}\) to have a common denominator of \(8\): \[ \frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8} \]
-
Now 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 (11 eighths).