1/5+1/4+1/5

asked by guest
on Jan 15, 2025 at 8:57 am



You asked:

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

MathBot Answer:

\[ \frac{1}{5} + \frac{1}{4} + \frac{1}{5} = \frac{13}{20} = 0.65 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{5}\), \(\frac{1}{4}\), and \(\frac{1}{5}\) is \(20\). \[ \begin{aligned} \frac{1}{5} + \frac{1}{4} + \frac{1}{5} &= \frac{1 \cdot 4}{5 \cdot 4} + \frac{1 \cdot 5}{4 \cdot 5} + \frac{1 \cdot 4}{5 \cdot 4} \\ &= \frac{4 + 5 + 4}{20} \\ &= \frac{13}{20} \end{aligned} \]