(-2/3)+7/4

asked by guest
on Oct 21, 2024 at 4:29 am



You asked:

Evaluate the expression: \(\frac{-2}{3} + \frac{7}{4}\)

MathBot Answer:

\[ \frac{-2}{3} + \frac{7}{4} = \frac{13}{12} = 1.08\overline{3} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-2}{3}\) and \(\frac{7}{4}\) is \(12\). \[ \begin{aligned} \frac{-2}{3} + \frac{7}{4} &= \frac{-2 \cdot 4}{3 \cdot 4} + \frac{7 \cdot 3}{4 \cdot 3} \\ &= \frac{-8 + 21}{12} \\ &= \frac{13}{12} \end{aligned} \]