1/25+1/36+4

asked by guest
on Jan 20, 2025 at 7:55 am



You asked:

Evaluate the expression: \(\frac{1}{25} + \frac{1}{36} + 4\)

MathBot Answer:

\[ \frac{1}{25} + \frac{1}{36} + 4 = \frac{3661}{900} = 4.06\overline{7} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{25}\), \(\frac{1}{36}\), and \(\frac{4}{1}\) is \(900\). \[ \begin{aligned} \frac{1}{25} + \frac{1}{36} + 4 &= \frac{1 \cdot 36}{25 \cdot 36} + \frac{1 \cdot 25}{36 \cdot 25} + \frac{4 \cdot 900}{1 \cdot 900} \\ &= \frac{36 + 25 + 3600}{900} \\ &= \frac{3661}{900} \end{aligned} \]