30/32 - 2/4 - 1/16
You asked:
Evaluate the expression: \(\frac{30}{32} - \frac{2}{4} - \frac{1}{16}\)
MathBot Answer:
\[ \frac{30}{32} - \frac{2}{4} - \frac{1}{16} = \frac{3}{8} = 0.375 \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{30}{32}\), \(\frac{-2}{4}\), and \(\frac{-1}{16}\) is \(32\). \[ \begin{aligned} \frac{30}{32} - \frac{2}{4} - \frac{1}{16} &= \frac{30 \cdot 1}{32 \cdot 1} + \frac{-2 \cdot 8}{4 \cdot 8} + \frac{-1 \cdot 2}{16 \cdot 2} \\ &= \frac{30 + -16 + -2}{32} \\ &= \frac{12}{32} \\&= \frac{3}{8} \end{aligned} \]