(4/5)-3 × (1/2)-3
You asked:
Evaluate the expression: \(\frac{4}{5} - 3 \cdot \frac{1}{2} - 3\)
MathBot Answer:
\[ \frac{4}{5} - 3 \cdot \frac{1}{2} - 3 = - \frac{37}{10} = -3.7 \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{5}\), \(\frac{-3}{2}\), and \(\frac{-3}{1}\) is \(10\). \[ \begin{aligned} \frac{4}{5} - 3 \cdot \frac{1}{2} - 3 &= \frac{4 \cdot 2}{5 \cdot 2} + \frac{-3 \cdot 5}{2 \cdot 5} + \frac{-3 \cdot 10}{1 \cdot 10} \\ &= \frac{8 + -15 + -30}{10} \\ &= \frac{-37}{10} \end{aligned} \]