(9/16)+9/4+1/2
You asked:
Evaluate the expression: \(\frac{9}{16} + \frac{9}{4} + \frac{1}{2}\)
MathBot Answer:
\[ \frac{9}{16} + \frac{9}{4} + \frac{1}{2} = \frac{53}{16} = 3.3125 \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{9}{16}\), \(\frac{9}{4}\), and \(\frac{1}{2}\) is \(16\). \[ \begin{aligned} \frac{9}{16} + \frac{9}{4} + \frac{1}{2} &= \frac{9 \cdot 1}{16 \cdot 1} + \frac{9 \cdot 4}{4 \cdot 4} + \frac{1 \cdot 8}{2 \cdot 8} \\ &= \frac{9 + 36 + 8}{16} \\ &= \frac{53}{16} \end{aligned} \]