4/5 + (- 3/4) + 1/2

asked by guest
on Nov 17, 2024 at 9:49 pm



You asked:

Evaluate the expression: \(\frac{4}{5} + \frac{-3}{4} + \frac{1}{2}\)

MathBot Answer:

\[ \frac{4}{5} + \frac{-3}{4} + \frac{1}{2} = \frac{11}{20} = 0.55 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{5}\), \(\frac{-3}{4}\), and \(\frac{1}{2}\) is \(20\). \[ \begin{aligned} \frac{4}{5} + \frac{-3}{4} + \frac{1}{2} &= \frac{4 \cdot 4}{5 \cdot 4} + \frac{-3 \cdot 5}{4 \cdot 5} + \frac{1 \cdot 10}{2 \cdot 10} \\ &= \frac{16 + -15 + 10}{20} \\ &= \frac{11}{20} \end{aligned} \]