20/25 + 20/24

asked by guest
on Jan 27, 2025 at 9:07 am



You asked:

Evaluate the expression: \(\frac{20}{25} + \frac{20}{24}\)

MathBot Answer:

\[ \frac{20}{25} + \frac{20}{24} = \frac{49}{30} = 1.6\overline{3} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{20}{25}\) and \(\frac{20}{24}\) is \(600\). \[ \begin{aligned} \frac{20}{25} + \frac{20}{24} &= \frac{20 \cdot 24}{25 \cdot 24} + \frac{20 \cdot 25}{24 \cdot 25} \\ &= \frac{480 + 500}{600} \\ &= \frac{980}{600} \\&= \frac{49}{30} \end{aligned} \]