2 4/5 + 3 1/2 =

asked by guest
on Nov 14, 2024 at 5:08 pm



You asked:

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

MathBot Answer:

\[ 2\frac{4}{5} + 3\frac{1}{2} = \frac{63}{10} = 6.3 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{1}\), \(\frac{4}{5}\), \(\frac{3}{1}\), and \(\frac{1}{2}\) is \(10\). \[ \begin{aligned} 2\frac{4}{5} + 3\frac{1}{2} &= \frac{2 \cdot 10}{1 \cdot 10} + \frac{4 \cdot 2}{5 \cdot 2} + \frac{3 \cdot 10}{1 \cdot 10} + \frac{1 \cdot 5}{2 \cdot 5} \\ &= \frac{20 + 8 + 30 + 5}{10} \\ &= \frac{63}{10} \end{aligned} \]