2/4 + 2/5 + 2/10

asked by guest
on Nov 24, 2024 at 12:43 pm



You asked:

Evaluate the expression: \(\frac{2}{4} + \frac{2}{5} + \frac{2}{10}\)

MathBot Answer:

\[ \frac{2}{4} + \frac{2}{5} + \frac{2}{10} = \frac{11}{10} = 1.1 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{4}\), \(\frac{2}{5}\), and \(\frac{2}{10}\) is \(20\). \[ \begin{aligned} \frac{2}{4} + \frac{2}{5} + \frac{2}{10} &= \frac{2 \cdot 5}{4 \cdot 5} + \frac{2 \cdot 4}{5 \cdot 4} + \frac{2 \cdot 2}{10 \cdot 2} \\ &= \frac{10 + 8 + 4}{20} \\ &= \frac{22}{20} \\&= \frac{11}{10} \end{aligned} \]